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% Copyright (c) 1986,87,89,90,91 by Frame Technology Corporation.
% All rights reserved.
%
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	gsave
	translate rotate scale /h exch def /w exch def
	/lb w d wbytes def 
	sl lb lt {lb ms} if 
	/bitmapsave save def 
	colorsetup
	/is im 0 lb getinterval def 
	ws 0 lb getinterval is copy pop 
	/cf currentfile def 
	w h d [w 0 0 h neg 0 h] 
	{ip} {is} {is} true 3 colorimage
	bitmapsave restore 
	grestore
	} bind def
/BITMAPTRUECOLORc { 
        gsave
        translate rotate scale /h exch def /w exch def
        /bitmapsave save def 
        
        /is w string def
        
        ws 0 w getinterval is copy pop 
        /cf currentfile def 
        w h 8 [w 0 0 h neg 0 h] 
        {ip} {gip} {bip} true 3 colorimage
        bitmapsave restore 
        grestore
        } bind def
/BITMAPTRUECOLOR { 
        gsave
        translate rotate scale /h exch def /w exch def
        /bitmapsave save def 
        /is w string def
        /gis w string def
        /bis w string def
        /cf currentfile def 
        w h 8 [w 0 0 h neg 0 h] 
        { cf is readhexstring pop } 
        { cf gis readhexstring pop } 
        { cf bis readhexstring pop } 
        true 3 colorimage 
        bitmapsave restore 
        grestore
        } bind def
/BITMAPTRUEGRAYc { 
        gsave
        translate rotate scale /h exch def /w exch def
        /bitmapsave save def 
        
        /is w string def
        
        ws 0 w getinterval is copy pop 
        /cf currentfile def 
        w h 8 [w 0 0 h neg 0 h] 
        {ip gip bip w gray} image
        bitmapsave restore 
        grestore
        } bind def
/ww FMLOCAL
/r FMLOCAL
/g FMLOCAL
/b FMLOCAL
/i FMLOCAL
/gray { 
        /ww exch def
        /b exch def
        /g exch def
        /r exch def
        0 1 ww 1 sub { /i exch def r i get .299 mul g i get .587 mul
			b i get .114 mul add add r i 3 -1 roll floor cvi put } for
        r
        } bind def
/BITMAPTRUEGRAY { 
        gsave
        translate rotate scale /h exch def /w exch def
        /bitmapsave save def 
        /is w string def
        /gis w string def
        /bis w string def
        /cf currentfile def 
        w h 8 [w 0 0 h neg 0 h] 
        { cf is readhexstring pop 
          cf gis readhexstring pop 
          cf bis readhexstring pop w gray}  image
        bitmapsave restore 
        grestore
        } bind def
/BITMAPGRAY { 
	8 {fakecolorsetup} COMMONBITMAP
	} bind def
/BITMAPGRAYc { 
	8 {fakecolorsetup} COMMONBITMAPc
	} bind def
/ENDBITMAP {
	} bind def
end 
	/ALDsave FMLOCAL
	/ALDmatrix matrix def ALDmatrix currentmatrix pop
/StartALD {
	/ALDsave save def
	 savematrix
	 ALDmatrix setmatrix
	} bind def
/InALD {
	 restorematrix
	} bind def
/DoneALD {
	 ALDsave restore
	} bind def
%%EndProlog
%%BeginSetup
(3.0) FMVERSION
1 1 595.3 841.9 0 1 15 FMDOCUMENT
0 0 /Times-Italic FMFONTDEFINE
1 0 /Times-Bold FMFONTDEFINE
2 0 /Courier FMFONTDEFINE
3 0 /Times-Roman FMFONTDEFINE
4 1 /Symbol FMFONTDEFINE
32 FMFILLS
0 0 FMFILL
1 .1 FMFILL
2 .3 FMFILL
3 .5 FMFILL
4 .7 FMFILL
5 .9 FMFILL
6 .97 FMFILL
7 1 FMFILL
8 <0f1e3c78f0e1c387> FMFILL
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13 <03060c183060c081> FMFILL
14 <8040201008040201> FMFILL
16 1 FMFILL
17 .9 FMFILL
18 .7 FMFILL
19 .5 FMFILL
20 .3 FMFILL
21 .1 FMFILL
22 0.03 FMFILL
23 0 FMFILL
24 <f0e1c3870f1e3c78> FMFILL
25 <f0783c1e0f87c3e1> FMFILL
26 <3333333333333333> FMFILL
27 <0000ffff0000ffff> FMFILL
28 <7ebddbe7e7dbbd7e> FMFILL
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30 <7fbfdfeff7fbfdfe> FMFILL
%%EndSetup
%%Page: "1" 1
%%BeginPaperSize: A4
%%EndPaperSize
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-1) 518.33 61.29 T
1 28 Q
(2 Refer) 63.65 726.29 T
(ence) 150.98 726.29 T
2 12 Q
(bs2rv) 135.65 692.95 T
3 F
(.......................................................................................................) 178.82 692.95 T
(2-5) 487.65 692.95 T
2 F
(crtbase) 135.65 672.95 T
3 F
( ...................................................................................................) 186.02 672.95 T
(2-7) 486.65 672.95 T
2 F
(crtbp) 135.65 652.95 T
3 F
( ........................................................................................................) 171.63 652.95 T
(2-8) 486.65 652.95 T
2 F
(crtrp) 135.65 632.95 T
3 F
( ........................................................................................................) 171.63 632.95 T
(2-10) 486.65 632.95 T
2 F
(migrate) 135.65 612.95 T
3 F
( ...................................................................................................) 186.02 612.95 T
(2-1) 486.65 612.95 T
(1) 502.19 612.95 T
2 F
(mut) 135.65 592.95 T
3 F
( ............................................................................................................) 157.24 592.95 T
(2-14) 486.65 592.95 T
2 F
(mutate) 135.65 572.95 T
3 F
( .....................................................................................................) 178.82 572.95 T
(2-16) 486.65 572.95 T
2 F
(mutbga) 135.65 552.95 T
3 F
( .....................................................................................................) 178.82 552.95 T
(2-17) 486.65 552.95 T
2 F
(ranking) 135.65 532.95 T
3 F
( ...................................................................................................) 186.02 532.95 T
(2-20) 486.65 532.95 T
2 F
(recdis) 135.65 512.95 T
3 F
( .....................................................................................................) 178.82 512.95 T
(2-24) 486.65 512.95 T
2 F
(recint) 135.65 492.95 T
3 F
( .....................................................................................................) 178.82 492.95 T
(2-26) 486.65 492.95 T
2 F
(reclin) 135.65 472.95 T
3 F
( .....................................................................................................) 178.82 472.95 T
(2-28) 486.65 472.95 T
2 F
(recmut) 135.65 452.95 T
3 F
( .....................................................................................................) 178.82 452.95 T
(2-30) 486.65 452.95 T
2 F
(recombin) 135.65 432.95 T
3 F
( .................................................................................................) 193.22 432.95 T
(2-33) 487.05 432.95 T
2 F
(reins) 135.65 412.95 T
3 F
( ........................................................................................................) 171.63 412.95 T
(2-34) 486.65 412.95 T
2 F
(rep) 135.65 392.95 T
3 F
( .............................................................................................................) 157.24 392.95 T
(2-37) 487.05 392.95 T
2 F
(rws) 135.65 372.95 T
3 F
( .............................................................................................................) 157.24 372.95 T
(2-38) 487.05 372.95 T
2 F
(scaling) 135.65 352.95 T
3 F
( ...................................................................................................) 186.02 352.95 T
(2-40) 486.65 352.95 T
2 F
(select) 135.65 332.95 T
3 F
( .....................................................................................................) 178.82 332.95 T
(2-41) 486.65 332.95 T
2 F
(sus) 135.65 312.95 T
3 F
( ............................................................................................................) 157.24 312.95 T
(2-44) 486.65 312.95 T
2 F
(xovdp) 135.65 292.95 T
3 F
( ........................................................................................................) 171.63 292.95 T
(2-46) 486.65 292.95 T
2 F
(xovdprs) 135.65 272.95 T
3 F
( ...................................................................................................) 186.02 272.95 T
(2-47) 486.65 272.95 T
2 F
(xovmp) 135.65 252.95 T
3 F
( ........................................................................................................) 171.63 252.95 T
(2-48) 486.65 252.95 T
2 F
(xovsh) 135.65 232.95 T
3 F
( ........................................................................................................) 171.63 232.95 T
(2-49) 486.65 232.95 T
2 F
(xovshrs) 135.65 212.95 T
3 F
( ...................................................................................................) 186.02 212.95 T
(2-50) 486.65 212.95 T
2 F
(xovsp) 135.65 192.95 T
3 F
( ........................................................................................................) 171.63 192.95 T
(2-51) 486.65 192.95 T
2 F
(xovsprs) 135.65 172.95 T
3 F
( ...................................................................................................) 186.02 172.95 T
(2-52) 486.65 172.95 T
FMENDPAGE
%%EndPage: "1" 2
%%Page: "2" 2
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-2) 518.33 61.29 T
1 28 Q
(2 Refer) 63.65 726.29 T
(ence) 150.98 726.29 T
3 12 Q
1.19 (This Section contains detailed descriptions of all of the functions in the Genetic) 135.65 692.95 P
0.55 (Algorithm T) 135.65 678.95 P
0.55 (oolbox. It begins with a list of functions grouped by subject area and) 195.66 678.95 P
5.8 (continues with) 135.65 664.95 P
0 F
5.8 (Refer) 220.53 664.95 P
5.8 (ence) 246.07 664.95 P
3 F
5.8 (entries in alphabetical order) 276.83 664.95 P
5.8 (. Information about) 427.12 664.95 P
(individual functions is also available through the on-line) 135.65 650.95 T
2 F
(Help) 409.48 650.95 T
3 F
( facility) 438.27 650.95 T
(.) 474.46 650.95 T
FMENDPAGE
%%EndPage: "2" 3
%%Page: "3" 3
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-3) 518.33 61.29 T
3 12 Q
(CREA) 262.19 696.95 T
(TING POPULA) 292.85 696.95 T
(TIONS) 369.8 696.95 T
2 F
(crtbase) 141.65 672.95 T
3 F
(create a base vector) 249.65 672.95 T
2 F
(crtbp) 141.65 650.95 T
3 F
(create arbitrary discrete random populations) 249.65 650.95 T
2 F
(crtrp) 141.65 628.95 T
3 F
(create real-valued initial population) 249.65 628.95 T
(FITNESS ASSIGNMENT) 269.85 558.95 T
2 F
(ranking) 141.65 534.95 T
3 F
(generalised rank-based \336tness assignment) 249.65 534.95 T
2 F
(scaling) 141.65 512.95 T
3 F
(proportional \336tness scaling) 249.65 512.95 T
(SELECTION FUNCTIONS) 265.86 442.95 T
2 F
(reins) 141.65 418.95 T
3 F
(uniform random and \336tness-based reinsertion) 249.65 418.95 T
2 F
(rws) 141.65 396.95 T
3 F
(roulette wheel selection) 249.65 396.95 T
2 F
(select) 141.65 374.95 T
3 F
(high-level selection routine) 249.65 374.95 T
2 F
(sus) 141.65 352.95 T
3 F
(stochastic universal sampling) 249.65 352.95 T
(MUT) 267.11 282.95 T
(A) 292.8 282.95 T
(TION OPERA) 300.13 282.95 T
(T) 369.75 282.95 T
(ORS) 376.86 282.95 T
2 F
(mut) 141.65 258.95 T
3 F
(discrete mutation) 249.65 258.95 T
2 F
(mutate) 141.65 236.95 T
3 F
(high-level mutation function) 249.65 236.95 T
2 F
(mutbga) 141.65 214.95 T
3 F
(real-value mutation) 249.65 214.95 T
135.65 712.7 135.65 621.2 2 L
V
0.5 H
0 Z
N
243.65 685.45 243.65 620.7 2 L
V
N
531.65 712.7 531.65 621.2 2 L
V
N
135.4 712.95 531.9 712.95 2 L
V
N
135.9 688.2 531.4 688.2 2 L
V
N
135.9 685.7 531.4 685.7 2 L
V
N
135.4 620.95 531.9 620.95 2 L
V
N
135.65 574.7 135.65 505.2 2 L
V
N
243.65 547.45 243.65 504.7 2 L
V
N
531.65 574.7 531.65 505.2 2 L
V
N
135.4 574.95 531.9 574.95 2 L
V
N
135.9 550.2 531.4 550.2 2 L
V
N
135.9 547.7 531.4 547.7 2 L
V
N
135.4 504.95 531.9 504.95 2 L
V
N
135.65 458.7 135.65 345.2 2 L
V
N
243.65 431.45 243.65 344.7 2 L
V
N
531.65 458.7 531.65 345.2 2 L
V
N
135.4 458.95 531.9 458.95 2 L
V
N
135.9 434.2 531.4 434.2 2 L
V
N
135.9 431.7 531.4 431.7 2 L
V
N
135.4 344.95 531.9 344.95 2 L
V
N
135.65 298.7 135.65 207.2 2 L
V
N
243.65 271.45 243.65 206.7 2 L
V
N
531.65 298.7 531.65 207.2 2 L
V
N
135.4 298.95 531.9 298.95 2 L
V
N
135.9 274.2 531.4 274.2 2 L
V
N
135.9 271.7 531.4 271.7 2 L
V
N
135.4 206.95 531.9 206.95 2 L
V
N
FMENDPAGE
%%EndPage: "3" 4
%%Page: "4" 4
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-4) 518.33 61.29 T
3 12 Q
(CROSSOVER OPERA) 262.62 696.95 T
(T) 374.24 696.95 T
(ORS) 381.35 696.95 T
2 F
(recdis) 141.65 672.95 T
3 F
(discrete recombination) 249.65 672.95 T
2 F
(recint) 141.65 650.95 T
3 F
(intermediate recombination) 249.65 650.95 T
2 F
(reclin) 141.65 628.95 T
3 F
(line recombination) 249.65 628.95 T
2 F
(recmut) 141.65 606.95 T
3 F
(line recombination with mutation features) 249.65 606.95 T
2 F
(recombin) 141.65 584.95 T
3 F
(high-level recombination operator) 249.65 584.95 T
2 F
(xovdp) 141.65 562.95 T
3 F
(double-point crossover) 249.65 562.95 T
2 F
(xovdprs) 141.65 540.95 T
3 F
(double-point reduced surrogate crossover) 249.65 540.95 T
2 F
(xovmp) 141.65 518.95 T
3 F
(general multi-point crossover) 249.65 518.95 T
2 F
(xovsh) 141.65 496.95 T
3 F
(shuf) 249.65 496.95 T
(\337e crossover) 270.08 496.95 T
2 F
(xovshrs) 141.65 474.95 T
3 F
(shuf) 249.65 474.95 T
(\337e reduced surrogate crossover) 270.08 474.95 T
2 F
(xovsp) 141.65 452.95 T
3 F
(single-point crossover) 249.65 452.95 T
2 F
(xovsprs) 141.65 430.95 T
3 F
(single-point reduced surrogate crossover) 249.65 430.95 T
(SUBPOPULA) 257.54 360.95 T
(TION SUPPOR) 326.18 360.95 T
(T) 402.42 360.95 T
2 F
(migrate) 141.65 336.95 T
3 F
(exchange individuals between subpopulations) 249.65 336.95 T
(UTILITY FUNCTIONS) 274.86 266.95 T
2 F
(bs2rv) 141.65 242.95 T
3 F
(binary string to real-value conversion) 249.65 242.95 T
2 F
(rep) 141.65 220.95 T
3 F
(matrix replication) 249.65 220.95 T
135.65 712.7 135.65 423.2 2 L
V
0.5 H
0 Z
N
243.65 685.45 243.65 422.7 2 L
V
N
531.65 712.7 531.65 423.2 2 L
V
N
135.4 712.95 531.9 712.95 2 L
V
N
135.9 688.2 531.4 688.2 2 L
V
N
135.9 685.7 531.4 685.7 2 L
V
N
135.4 422.95 531.9 422.95 2 L
V
N
135.65 376.7 135.65 329.2 2 L
V
N
243.65 349.45 243.65 328.7 2 L
V
N
531.65 376.7 531.65 329.2 2 L
V
N
135.4 376.95 531.9 376.95 2 L
V
N
135.9 352.2 531.4 352.2 2 L
V
N
135.9 349.7 531.4 349.7 2 L
V
N
135.4 328.95 531.9 328.95 2 L
V
N
135.65 282.7 135.65 213.2 2 L
V
N
243.65 255.45 243.65 212.7 2 L
V
N
531.65 282.7 531.65 213.2 2 L
V
N
135.4 282.95 531.9 282.95 2 L
V
N
135.9 258.2 531.4 258.2 2 L
V
N
135.9 255.7 531.4 255.7 2 L
V
N
135.4 212.95 531.9 212.95 2 L
V
N
FMENDPAGE
%%EndPage: "4" 5
%%Page: "5" 5
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-5) 518.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(bs2rv) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(binary string to real value conversion) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(Phen = bs2rv\050Chrom, FieldD\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
1.31 (Phen = bs2rv\050Chrom, FieldD\051) 135.65 588.95 P
3 F
0.55 ( decodes the binary representation of the) 333.87 588.95 P
5.26 (population,) 135.65 574.95 P
2 F
12.62 (Chrom) 198.21 574.95 P
3 F
5.26 (, into vectors of reals. The chromosomes are seen as) 234.19 574.95 P
0.28 (concatenated binary strings of given length, and decoded into real numbers over a) 135.65 560.95 P
1.93 (speci\336ed interval using either standard binary or Gray coding according to the) 135.65 546.95 P
8.28 (decoding matrix,) 135.65 532.95 P
2 F
19.86 (FieldD) 236.48 532.95 P
3 F
8.28 (. The resulting matrix,) 279.65 532.95 P
2 F
19.86 (Phen) 422.69 532.95 P
3 F
8.28 (, contains the) 451.47 532.95 P
(corresponding population phenotypes.) 135.65 518.95 T
0.12 (The use of Gray coding for binary chromosome representation is recommended as) 135.65 492.95 P
-0.23 (the regular Hamming distance between quantization intervals reportedly makes the) 135.65 478.95 P
-0.12 (genetic search less deceptive \050see, for example, [1, 2]\051. An option to set the scaling) 135.65 464.95 P
2.54 (between quantization points can be used to select either linear or logarithmic) 135.65 450.95 P
-0.17 (decoding to real values from binary strings. Logarithmic scaling is useful when the) 135.65 436.95 P
0.26 (range of decision variable is unknown at the outset as a wider range of parametric) 135.65 422.95 P
3.55 (values can be searched with fewer bits [3], thus reducing the memory and) 135.65 408.95 P
(computational requirements of the GA.) 135.65 394.95 T
(The matrix) 135.65 368.95 T
2 F
(FieldD) 191.61 368.95 T
3 F
( has the following structure:) 234.79 368.95 T
(,) 356.55 294.72 T
(where the rows of the matrix are composed as follows:) 135.65 221.66 T
2 F
3.26 (len) 135.65 195.66 P
3 F
1.36 (, a row vector containing the length of each substring in) 157.24 195.66 P
2 F
3.26 (Chrom) 442.65 195.66 P
3 F
1.36 (. Note that) 478.63 195.66 P
2 F
(sum\050len\051) 135.65 181.66 T
3 F
( should equal) 193.22 181.66 T
2 F
(length\050Chrom\051) 260.18 181.66 T
3 F
(.) 353.72 181.66 T
2 F
-0.15 (lb) 135.65 155.66 P
3 F
-0.06 ( and) 150.04 155.66 P
2 F
-0.15 (ub) 173.23 155.66 P
3 F
-0.06 ( are row vectors containing the lower and upper bounds respectively for) 187.62 155.66 P
(each variable used.) 135.65 141.66 T
2 F
4.76 (code) 135.65 115.66 P
3 F
1.98 ( is a binary row vector indicating how each substring is decoded. Select) 164.43 115.66 P
2 F
(code\050i\051 = 0) 135.65 101.66 T
3 F
( for standard binary and) 214.8 101.66 T
2 F
(code\050i\051 = 1) 332.38 101.66 T
3 F
( for Gray coding.) 411.53 101.66 T
307.75 243.66 356.55 350.95 C
2 12 Q
0 X
0 K
(l) 321.15 335.96 T
(e) 329.05 335.96 T
(n) 336.95 335.96 T
(l) 325.1 321.49 T
(b) 333 321.49 T
(u) 325.1 307.02 T
(b) 333 307.02 T
(c) 317.2 292.55 T
(o) 325.1 292.55 T
(d) 333 292.55 T
(e) 340.9 292.55 T
(s) 313.25 278.08 T
(c) 321.15 278.08 T
(a) 329.05 278.08 T
(l) 336.95 278.08 T
(e) 344.86 278.08 T
(l) 317.2 263.61 T
(b) 325.1 263.61 T
(i) 333 263.61 T
(n) 340.9 263.61 T
(u) 317.2 249.14 T
(b) 325.1 249.14 T
(i) 333 249.14 T
(n) 340.9 249.14 T
314.75 246.66 310.75 246.66 2 L
0.33 H
0 Z
N
310.75 246.66 310.75 347.95 2 L
N
310.75 347.95 314.75 347.95 2 L
N
349.55 246.66 353.55 246.66 2 L
N
353.55 246.66 353.55 347.95 2 L
N
353.55 347.95 349.55 347.95 2 L
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "5" 6
%%Page: "6" 6
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-6) 518.33 61.29 T
2 12 Q
9.44 (scale) 135.65 736.95 P
3 F
3.93 ( is a binary row vector indicating whether to use arithmetic and/or) 171.63 736.95 P
1.68 (logarithmic scaling for each substring. Select) 135.65 722.95 P
2 F
4.03 (scale\050i\051 = 0) 365.25 722.95 P
3 F
1.68 ( for arithmetic) 459.67 722.95 P
(scaling and) 135.65 708.95 T
2 F
(scale\050i\051 = 1) 192.94 708.95 T
3 F
( for logarithmic scaling.) 279.29 708.95 T
2 F
0.93 (lbin) 135.65 682.95 P
3 F
0.39 ( and) 164.43 682.95 P
2 F
0.93 (ubin) 188.52 682.95 P
3 F
0.39 ( are binary row vectors indicating whether or not to include each) 217.3 682.95 P
2.86 (bound in the representation range. Select) 135.65 668.95 P
2 F
6.86 ({l|u}bin\050i\051 = 0) 351.65 668.95 P
3 F
2.86 ( to exclude) 473.3 668.95 P
2 F
0.9 ({l|u}b\050i\051) 135.65 654.95 P
3 F
0.38 ( from the representation range and) 200.41 654.95 P
2 F
0.9 ({l|u}bin\050i\051 = 1) 370.52 654.95 P
3 F
0.38 ( to include) 480.26 654.95 P
2 F
({l|u}b\050i\051) 135.65 640.95 T
3 F
( in the representation range.) 200.41 640.95 T
1 16 Q
(Example) 117.65 612.29 T
3 12 Q
2.8 (Consider the following binary population, created using the) 135.65 594.95 P
2 F
6.73 (crtbp) 446.89 594.95 P
3 F
2.8 ( function,) 482.87 594.95 P
2.25 (representing a set of single decision variables in the range [-1, 10]. The code) 135.65 580.95 P
1.74 (extract shows how the function) 135.65 566.95 P
2 F
4.17 (bs2rv) 297.24 566.95 P
3 F
1.74 ( may be used to convert the Gray code) 333.22 566.95 P
(binary representation to real-valued phenotypes using arithmetic scaling.) 135.65 552.95 T
2 F
(Chrom = crtbp\0504,8\051 % create random chromosomes) 135.65 532.95 T
(Chrom =) 135.65 512.95 T
(0 0 0 0 0 1 1 1) 153.65 498.95 T
(1 0 0 0 1 0 0 1) 153.65 484.95 T
(0 0 1 0 1 0 0 0) 153.65 470.95 T
(1 1 0 1 1 0 1 1) 153.65 456.95 T
(FieldD = [8; -1; 10; 1; 0; 1; 1]; % representation) 135.65 436.95 T
(Phen = bs2rv\050Chrom,FieldD\051 % convert binary to real) 135.65 416.95 T
(Phen =) 135.65 396.95 T
(-0.7843) 153.65 382.95 T
(9.3961) 160.84 368.95 T
(1.0706) 160.84 354.95 T
(5.2980) 160.84 340.95 T
1 16 Q
(Algorithm) 117.65 318.29 T
2 12 Q
2.04 (bs2rv) 135.65 300.95 P
3 F
0.85 ( is implemented as an m-\336le in the GA T) 171.63 300.95 P
0.85 (oolbox. If logarithmic scaling is) 374.67 300.95 P
(used then the range must not include zero.) 135.65 286.95 T
1 16 Q
(Refer) 117.65 258.29 T
(ence) 155.53 258.29 T
3 12 Q
1.8 ([1] R. B. Holstien,) 135.65 240.95 P
0 F
1.8 (Arti\336cial Genetic Adaptation in Computer Contr) 234.46 240.95 P
1.8 (ol Systems) 476.55 240.95 P
3 F
1.8 (,) 528.65 240.95 P
0.7 (Ph.D. Thesis, Department of Computer and Communication Sciences, University) 135.65 226.95 P
(of Michigan, Ann Arbor) 135.65 212.95 T
(, 1971.) 252.42 212.95 T
0.67 ([2] R. A. Caruana and J. D. Schaf) 135.65 186.95 P
0.67 (fer) 301.64 186.95 P
0.67 (, \322Representation and Hidden Bias: Gray vs.) 314.47 186.95 P
(Binary Coding\323,) 135.65 172.95 T
0 F
(Pr) 217.93 172.95 T
(oc. 6) 229.48 172.95 T
260.58 176.79 252.8 176.79 2 L
V
0.48 H
0 Z
N
0 10 Q
(th) 252.8 177.75 T
0 12 Q
( Int. Conf. Machine Learning) 260.58 172.95 T
3 F
(, pp153-161, 1988.) 401.16 172.95 T
2.14 ([3] W) 135.65 146.95 P
2.14 (. E. Schmitendor) 164.99 146.95 P
2.14 (gf, O. Shaw) 249.67 146.95 P
2.14 (, R. Benson and S. Forrest, \322Using Genetic) 310.46 146.95 P
3.22 (Algorithms for Controller Design: Simultaneous Stabilization and Eigenvalue) 135.65 132.95 P
0.9 (Placement in a Region\323,) 135.65 118.95 P
0 F
0.9 (T) 258.84 118.95 P
0.9 (echnical Report No. CS92-9) 264.41 118.95 P
3 F
0.9 (, Dept. Computer Science,) 402.36 118.95 P
(College of Engineering, University of New Mexico, 1992.) 135.65 104.95 T
FMENDPAGE
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0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-7) 518.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(crtbase) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Create a base vector) 135.65 674.95 T
(.) 231.9 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(BaseVec = crtbase\050Lind, Base\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
0.66 (crtbase) 135.65 588.95 P
3 F
0.27 ( produces a vector whose elements correspond to the base of the loci of) 186.02 588.95 P
1.48 (a chromosome structure. This function can be used in conjunction with) 135.65 574.95 P
2 F
3.55 (crtbp) 495.67 574.95 P
3 F
(when creating populations using representations in dif) 135.65 560.95 T
(ferent bases.) 395.26 560.95 T
2 F
-0.28 (BaseVec = crtbase\050Lind, Base\051) 135.65 534.95 P
3 F
-0.12 ( creates a vector of length) 343.49 534.95 P
2 F
-0.28 (Lind) 469.34 534.95 P
3 F
-0.12 ( whose) 498.12 534.95 P
8.25 (individual elements are of base) 135.65 520.95 P
2 F
19.8 (Base) 329.13 520.95 P
3 F
8.25 (. If) 357.91 520.95 P
2 F
19.8 (Lind) 391.4 520.95 P
3 F
8.25 ( is a vector) 420.18 520.95 P
8.25 (, then) 496.75 520.95 P
2 F
13.9 (length\050BaseVec\051 = sum\050Lind\051) 135.65 506.95 P
3 F
5.79 (. If) 357.74 506.95 P
2 F
13.9 (Base) 386.31 506.95 P
3 F
5.79 ( is also a vector of) 415.09 506.95 P
2 F
7.3 (length\050Lind\051) 135.65 492.95 P
3 F
3.04 (, then) 222 492.95 P
2 F
7.3 (BaseVec) 257.73 492.95 P
3 F
3.04 ( is composed of groups of bases of length) 308.11 492.95 P
1.43 (determined by the elements of) 135.65 478.95 P
2 F
3.44 (Lind) 291.04 478.95 P
3 F
1.43 ( and base) 319.83 478.95 P
2 F
3.44 (Base) 371.76 478.95 P
3 F
1.43 (. This last option is useful) 400.54 478.95 P
(when describing populations with structure.) 135.65 464.95 T
1 16 Q
(Example) 117.65 436.29 T
3 12 Q
0.03 (T) 135.65 418.95 P
0.03 (o create a basevector for a population containing four elements in base 8 and \336ve) 142.14 418.95 P
(elements in base four:) 135.65 404.95 T
2 F
(BaseV = crtbase\050[4 5], [8 4]\051) 135.65 384.95 T
(BaseV =) 135.65 364.95 T
(8 8 8 8 4 4 4 4 4) 153.65 350.95 T
1 16 Q
(See Also) 117.65 328.29 T
2 12 Q
(crtbp) 135.65 310.95 T
3 F
(,) 171.63 310.95 T
2 F
(bs2rv) 177.62 310.95 T
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-8) 518.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(crtbp) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Create an initial population.) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
([Chrom, Lind, BaseV] = crtbp\050Nind, Lind\051) 135.65 628.95 T
([Chrom, Lind, BaseV] = crtbp\050Nind, Lind, Base\051) 135.65 608.95 T
([Chrom, Lind, BaseV] = crtbp\050Nind, BaseV\051) 135.65 588.95 T
1 16 Q
(Description) 117.65 566.29 T
3 12 Q
0.45 (The \336rst step in a genetic algorithm is to create an initial population consisting of) 135.65 548.95 P
2.57 (random chromosomes.) 135.65 534.95 P
2 F
6.18 (crtbp) 253.05 534.95 P
3 F
2.57 ( produces a matrix,) 289.03 534.95 P
2 F
6.18 (Chrom) 394.25 534.95 P
3 F
2.57 (, containing random) 430.23 534.95 P
(values in its elements.) 135.65 520.95 T
2 F
4.94 (Chrom = crtbp\050Nind, Lind\051) 135.65 494.95 P
3 F
2.06 ( creates a random binary matrix of size) 330.38 494.95 P
-0.26 (, where) 212.04 480.95 P
2 F
-0.64 (Nind) 249.8 480.95 P
3 F
-0.26 ( speci\336es the number of individuals in the population) 278.58 480.95 P
8.37 (and) 135.65 466.95 P
2 F
20.1 (Lind) 164.34 466.95 P
3 F
8.37 ( the length of the individuals. Additionally) 193.12 466.95 P
8.37 (,) 446.81 466.95 P
2 F
20.1 (Chrom =) 461.18 466.95 P
9.35 (crtbp\050[Nind, Lind]\051) 135.65 452.95 P
3 F
3.9 ( can be used to specify the dimensions of the) 281.73 452.95 P
(chromosome matrix.) 135.65 438.95 T
2 F
0.99 (Chrom = crtbp\050Nind, Lind, Base\051) 135.65 412.95 P
3 F
0.41 ( produces a chromosome matrix of) 362.7 412.95 P
-0.27 (base) 135.65 398.95 P
2 F
-0.64 (Base) 159.69 398.95 P
3 F
-0.27 (. If) 188.48 398.95 P
2 F
-0.64 (Base) 204.92 398.95 P
3 F
-0.27 ( is a vector) 233.71 398.95 P
-0.27 (, then the value of the elements of) 284.71 398.95 P
2 F
-0.64 (Base) 448.11 398.95 P
3 F
-0.27 ( specify the) 476.89 398.95 P
2.26 (base of the loci of the chromosomes. In this case, the second right hand side) 135.65 384.95 P
(ar) 135.65 370.95 T
(gument may be omitted,) 144.75 370.95 T
2 F
(Chrom = crtbp\050Nind, BaseV\051) 264.35 370.95 T
3 F
(.) 451.45 370.95 T
2 F
3.95 ([Chrom, Lind, BaseV] = crtbp\050Nind, BaseV\051) 135.65 344.95 P
3 F
1.65 ( also returns the) 450.43 344.95 P
-0.27 (length of the chromosome structure,) 135.65 330.95 P
2 F
-0.65 (Lind) 310.83 330.95 P
3 F
-0.27 (, and the base of the chromosome loci in) 339.62 330.95 P
(the vector) 135.65 316.95 T
2 F
(BaseV) 186.27 316.95 T
3 F
(.) 220.71 316.95 T
1 16 Q
(Example) 117.65 288.29 T
3 12 Q
0.05 (T) 135.65 270.95 P
0.05 (o create a random population of 6 individuals of length 8 where the \336rst four loci) 142.14 270.95 P
(are base eight and the last \336ve loci are base four:) 135.65 256.95 T
2 F
(BaseV = crtbase\050[4 5], [8 4]\051) 135.65 236.95 T
(Chrom = crtbp\0506, BaseV\051) 135.65 216.95 T
3 F
(or) 135.65 196.95 T
2 F
(Chrom = crtbp\050[6,8],[8 8 8 8 4 4 4 4 4]\051) 135.65 176.95 T
135.65 477.47 212.04 489.94 C
2 12 Q
0 X
0 K
(N) 136.65 480.95 T
(i) 144.55 480.95 T
(n) 152.45 480.95 T
(d) 160.35 480.95 T
(L) 180.13 480.95 T
(i) 188.04 480.95 T
(n) 195.94 480.95 T
(d) 203.84 480.95 T
4 F
(\264) 170.55 480.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-9) 518.33 61.29 T
2 12 Q
(Chrom =) 135.65 736.95 T
(4 3 1 1 2 0 2 0 3) 153.65 722.95 T
(1 4 7 5 2 1 1 1 0) 153.65 708.95 T
(1 3 0 1 0 0 0 0 2) 153.65 694.95 T
(1 5 5 7 2 0 2 3 1) 153.65 680.95 T
(4 5 7 7 0 1 3 0 3) 153.65 666.95 T
(4 2 4 0 3 3 1 1 0) 153.65 652.95 T
1 16 Q
(Algorithm) 117.65 630.29 T
2 12 Q
(crtbp) 135.65 612.95 T
3 F
( is an m-\336le in the GA T) 171.63 612.95 T
(oolbox that uses the M) 288.38 612.95 T
3 10 Q
(A) 397.66 612.95 T
(TLAB) 403.76 612.95 T
3 12 Q
( function) 429.86 612.95 T
2 F
(rand) 475.83 612.95 T
3 F
(.) 504.61 612.95 T
1 16 Q
(See Also) 117.65 584.29 T
2 12 Q
(crtbase) 135.65 566.95 T
3 F
(,) 186.02 566.95 T
2 F
(crtrp) 192.02 566.95 T
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-10) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(crtrp) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Create a real-valued initial population) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(Chrom = crtrp\050Nind, FieldDR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
3 12 Q
0.45 (The \336rst step in a genetic algorithm is to create an initial population consisting of) 135.65 588.95 P
2.82 (random individuals.) 135.65 574.95 P
2 F
6.77 (crtrp) 240.23 574.95 P
3 F
2.82 ( produces a matrix,) 276.21 574.95 P
2 F
6.77 (Chrom) 382.42 574.95 P
3 F
2.82 (, containing uniformly) 418.4 574.95 P
(distributed random values in its elements.) 135.65 560.95 T
2 F
2.4 (Chrom = crtrp\050Nind, FiedDR\051) 135.65 534.95 P
3 F
1 ( creates a random real-valued matrix of) 337.14 534.95 P
3 (size) 135.65 520.95 P
3 (, where) 236.68 520.95 P
2 F
7.2 (Nind) 280.98 520.95 P
3 F
3 ( speci\336es the number of individuals in the) 309.77 520.95 P
0.14 (population and) 135.65 506.95 P
2 F
0.33 (Nvar) 210.55 506.95 P
3 F
0.14 ( the number of variables of each individual.) 239.33 506.95 P
2 F
0.33 (Nvar) 452.62 506.95 P
3 F
0.14 ( is derived) 481.4 506.95 P
(from) 135.65 492.95 T
2 F
(FieldDR) 161.96 492.95 T
3 F
( with) 212.33 492.95 T
2 F
(Nvar = size\050FieldDR,2\051) 239.65 492.95 T
3 F
(.) 397.97 492.95 T
2 F
0 (FieldDR) 135.65 466.95 P
3 F
0 ( \050FieldDescriptionRealvalue\051 is a matrix of size) 186.02 466.95 P
0 ( and contains) 468.35 466.95 P
0.64 (the boundaries of each variable of an individual. The \336rst row contains the lower) 135.65 452.95 P
(bounds, the second row the upper bounds.) 135.65 438.95 T
2 F
(FieldDR) 135.65 412.95 T
3 F
( is used in other functions \050mutation\051.) 186.02 412.95 T
1 16 Q
(Example) 117.65 384.29 T
3 12 Q
(T) 135.65 366.95 T
(o create a random population of 6 individuals with 4 variables each:) 142.14 366.95 T
(De\336ne boundaries on the variables,) 135.65 346.95 T
2 F
(FieldDR = [) 135.65 326.95 T
(-100 -50 -30 -20;) 153.65 312.95 T
( % lower bound) 283.18 312.95 T
( 100) 153.65 298.95 T
(50) 196.82 298.95 T
(30) 225.61 298.95 T
(20]; % upper bound) 254.39 298.95 T
3 F
(Create initial population) 135.65 278.95 T
2 F
(Chrom = crtrp\0506, FieldDR\051) 135.65 258.95 T
(Chrom =) 135.65 238.95 T
(40.23 -17.17) 168.04 224.95 T
(28.95) 268.79 224.95 T
(15.38) 319.16 224.95 T
(82.06) 168.04 210.95 T
(13.26) 218.41 210.95 T
(13.35) 268.79 210.95 T
(-9.09) 319.16 210.95 T
(52.43) 168.04 196.95 T
(25.64) 218.41 196.95 T
(15.20) 268.79 196.95 T
(-2.54) 319.16 196.95 T
( -47.50) 153.65 182.95 T
( 49.10) 211.22 182.95 T
( 9.09) 268.79 182.95 T
(10.65) 319.16 182.95 T
( -90.50 -13.46 -25.63) 153.65 168.95 T
(-0.89) 319.16 168.95 T
(47.21 -25.29) 168.04 154.95 T
( 7.89 -10.48) 268.79 154.95 T
1 16 Q
(See Also) 117.65 132.29 T
2 12 Q
(mutbga) 138.65 114.95 T
3 F
(,) 181.82 114.95 T
2 F
(recdis) 187.82 114.95 T
3 F
(,) 231 114.95 T
2 F
(recint) 236.99 114.95 T
3 F
(,) 280.17 114.95 T
2 F
(reclin) 286.17 114.95 T
160.3 517.47 236.68 529.94 C
2 12 Q
0 X
0 K
(N) 161.3 520.95 T
(i) 169.2 520.95 T
(n) 177.1 520.95 T
(d) 185 520.95 T
(N) 204.78 520.95 T
(v) 212.68 520.95 T
(a) 220.59 520.95 T
(r) 228.49 520.95 T
4 F
(\264) 195.2 520.95 T
-8.35 24.95 603.65 816.95 C
416.87 463.35 468.35 476.13 C
3 12 Q
0 X
0 K
(2) 417.87 466.95 T
2 F
(N) 436.45 466.95 T
(v) 444.35 466.95 T
(a) 452.26 466.95 T
(r) 460.16 466.95 T
4 F
(\264) 426.87 466.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-11) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(migrate) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
( Migrate individuals between subpopulations) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(Chrom = migrate\050Chrom, SUBPOP\051) 135.65 628.95 T
(Chrom = migrate\050Chrom, SUBPOP, MigOpt\051) 135.65 608.95 T
(Chrom = migrate\050Chrom, SUBPOP, MigOpt, ObjV\051) 135.65 588.95 T
([Chrom, ObjV] = migrate\050Chrom, SUBPOP, MigOpt, ObjV\051) 135.65 568.95 T
1 16 Q
(Description) 117.65 546.29 T
2 12 Q
9.55 (migrate) 135.65 528.95 P
3 F
3.98 ( performs migration of individuals between subpopulations in the) 186.02 528.95 P
1.62 (current population,) 135.65 514.95 P
2 F
3.89 (Chrom) 233.16 514.95 P
3 F
1.62 (, and returns the population after migration,) 269.14 514.95 P
2 F
3.89 (Chrom) 492.67 514.95 P
3 F
1.62 (.) 528.65 514.95 P
0.02 (Each row of) 135.65 500.95 P
2 F
0.06 (Chrom) 197.33 500.95 P
3 F
0.02 ( corresponds to one individual. The number of subpopulations) 233.31 500.95 P
0.88 (is indicated by) 135.65 486.95 P
2 F
2.12 (SUBPOP) 211.26 486.95 P
3 F
0.88 (. The subpopulations in) 253.1 486.95 P
2 F
2.12 (Chrom) 372.24 486.95 P
3 F
0.88 ( are ordered according to) 408.22 486.95 P
(the following scheme:) 135.65 472.95 T
(All subpopulations must have the same number of individuals.) 135.65 146.46 T
2 F
(MigOpt) 135.65 120.46 T
3 F
( is an optional vector with a maximum of 3 parameters:) 178.82 120.46 T
230.9 168.46 436.39 454.95 C
2 12 Q
0 X
0 K
(C) 239.23 312.73 T
(h) 246.42 312.73 T
(r) 253.62 312.73 T
(o) 260.82 312.73 T
(m) 268.01 312.73 T
(I) 317.28 425.09 T
(n) 324.48 425.09 T
(d) 331.67 425.09 T
(1) 340.33 419.61 T
(S) 349.23 425.09 T
(u) 356.43 425.09 T
(b) 363.63 425.09 T
(P) 370.82 425.09 T
(o) 378.02 425.09 T
(p) 385.21 425.09 T
(1) 393.87 419.61 T
(I) 317.78 405.14 T
(n) 324.98 405.14 T
(d) 332.17 405.14 T
(2) 340.83 399.65 T
(S) 348.73 405.14 T
(u) 355.93 405.14 T
(b) 363.13 405.14 T
(P) 370.32 405.14 T
(o) 377.52 405.14 T
(p) 384.71 405.14 T
(1) 393.37 399.65 T
4 F
(\274) 353.68 385.18 T
2 F
(I) 317.28 369.2 T
(n) 324.48 369.2 T
(d) 331.67 369.2 T
(N) 340.33 363.72 T
(S) 349.23 369.2 T
(u) 356.43 369.2 T
(b) 363.63 369.2 T
(P) 370.82 369.2 T
(o) 378.02 369.2 T
(p) 385.21 369.2 T
(1) 393.87 363.72 T
(I) 317.78 349.25 T
(n) 324.98 349.25 T
(d) 332.17 349.25 T
(1) 340.83 343.77 T
(S) 349.73 349.25 T
(u) 356.93 349.25 T
(b) 364.13 349.25 T
(P) 371.32 349.25 T
(o) 378.52 349.25 T
(p) 385.71 349.25 T
(2) 394.37 343.77 T
(I) 317.78 329.3 T
(n) 324.98 329.3 T
(d) 332.17 329.3 T
(2) 340.83 323.81 T
(S) 348.73 329.3 T
(u) 355.93 329.3 T
(b) 363.13 329.3 T
(P) 370.32 329.3 T
(o) 377.52 329.3 T
(p) 384.71 329.3 T
(2) 393.37 323.81 T
4 F
(\274) 353.68 309.34 T
2 F
(I) 317.28 293.36 T
(n) 324.48 293.36 T
(d) 331.67 293.36 T
(N) 340.33 287.88 T
(S) 349.23 293.36 T
(u) 356.43 293.36 T
(b) 363.63 293.36 T
(P) 370.82 293.36 T
(o) 378.02 293.36 T
(p) 385.21 293.36 T
(2) 393.87 287.88 T
4 F
(\274) 353.68 273.41 T
2 F
(I) 299.29 257.43 T
(n) 306.49 257.43 T
(d) 313.68 257.43 T
(1) 322.34 251.94 T
(S) 331.24 257.43 T
(u) 338.44 257.43 T
(b) 345.64 257.43 T
(P) 352.83 257.43 T
(o) 360.03 257.43 T
(p) 367.22 257.43 T
(S) 375.88 251.94 T
(U) 383.08 251.94 T
(B) 390.27 251.94 T
(P) 397.47 251.94 T
(O) 404.67 251.94 T
(P) 411.86 251.94 T
(I) 299.79 237.47 T
(n) 306.99 237.47 T
(d) 314.18 237.47 T
(2) 322.84 231.99 T
(S) 330.74 237.47 T
(u) 337.94 237.47 T
(b) 345.14 237.47 T
(P) 352.33 237.47 T
(o) 359.53 237.47 T
(p) 366.72 237.47 T
(S) 375.38 231.99 T
(U) 382.58 231.99 T
(B) 389.77 231.99 T
(P) 396.97 231.99 T
(O) 404.17 231.99 T
(P) 411.36 231.99 T
4 F
(\274) 353.68 217.52 T
2 F
(I) 299.29 201.54 T
(n) 306.49 201.54 T
(d) 313.68 201.54 T
(N) 322.34 196.05 T
(S) 331.24 201.54 T
(u) 338.44 201.54 T
(b) 345.64 201.54 T
(P) 352.83 201.54 T
(o) 360.03 201.54 T
(p) 367.22 201.54 T
(S) 375.88 196.05 T
(U) 383.08 196.05 T
(B) 390.27 196.05 T
(P) 397.47 196.05 T
(O) 404.67 196.05 T
(P) 411.86 196.05 T
4 F
(=) 282.21 312.73 T
300.79 193.57 296.79 193.57 2 L
0.33 H
0 Z
N
296.79 193.57 296.79 437.08 2 L
N
296.79 437.08 300.79 437.08 2 L
N
417.56 193.57 421.56 193.57 2 L
N
421.56 193.57 421.56 437.08 2 L
N
421.56 437.08 417.56 437.08 2 L
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "11" 12
%%Page: "12" 12
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-12) 513.33 61.29 T
2 12 Q
(MigOpt\0501\051) 135.65 736.95 T
3 F
(:) 200.41 736.95 T
8.11 (scalar containing the rate of migration of individuals between) 171.65 722.95 P
(subpopulations in the range) 171.65 708.95 T
2 F
([0, 1]) 306.9 708.95 T
3 F
(If omitted or) 171.65 694.95 T
2 F
(NaN) 235.27 694.95 T
3 F
(,) 256.86 694.95 T
2 F
(MigOpt\0501\051 = 0.2) 262.86 694.95 T
3 F
( \05020%\051 is assumed.) 370.8 694.95 T
4.74 (If the migration rate is greater than 0 at least one individual per) 171.65 680.95 P
(subpopulation will migrate.) 171.65 666.95 T
2 F
(MigOpt\0502\051) 135.65 646.95 T
3 F
(:) 200.41 646.95 T
(scalar specifying the migration selection method) 171.65 632.95 T
(0 - uniform migration) 171.65 618.95 T
(1 - \336tness-based migration) 171.65 604.95 T
(If omitted or NaN,) 171.65 590.95 T
2 F
(MigOpt\0502\051 = 0) 263.91 590.95 T
3 F
( is assumed.) 357.46 590.95 T
2 F
(MigOpt\0503\051) 135.65 570.95 T
3 F
(:) 200.41 570.95 T
(scalar indicating the structure of the subpopulations for migration) 171.65 556.95 T
(0 - complete net structure) 171.65 542.95 T
(1 - neighbourhood structure) 171.65 528.95 T
(2 - ring structure) 171.65 514.95 T
(If omitted or) 171.65 500.95 T
2 F
(NaN,) 235.27 500.95 T
(MigOpt\0503\051 = 0) 267.06 500.95 T
3 F
( is assumed) 360.6 500.95 T
(If) 135.65 480.95 T
2 F
(MigOpt) 146.63 480.95 T
3 F
( is omitted or) 189.81 480.95 T
2 F
(NaN) 256.45 480.95 T
3 F
(, then the default values are assumed.) 278.03 480.95 T
2 F
0.25 (ObjV) 135.65 454.95 P
3 F
0.1 ( is an optional column vector with as many rows as) 164.43 454.95 P
2 F
0.25 (Chrom) 414.41 454.95 P
3 F
0.1 ( and contains the) 450.39 454.95 P
2.17 (corresponding objective values for all individuals in) 135.65 440.95 P
2 F
5.22 (Chrom) 403.71 440.95 P
3 F
2.17 (. For \336tness-based) 439.69 440.95 P
1.14 (selection of individuals \050) 135.65 426.95 P
2 F
2.73 (MigOpt\0502\051 = 1) 257.99 426.95 P
3 F
1.14 (\051) 356.99 426.95 P
2 F
2.73 (ObjV) 365.12 426.95 P
3 F
1.14 ( is necessary) 393.9 426.95 P
1.14 (. If) 456.01 426.95 P
2 F
2.73 (ObjV) 475.27 426.95 P
3 F
1.14 ( is an) 504.05 426.95 P
2.98 (input and output parameter) 135.65 412.95 P
2.98 (, the objective values are copied according to the) 273.68 412.95 P
0.45 (migration of the individuals. This saves the recomputation of the objective values) 135.65 398.95 P
(for the whole population.) 135.65 384.95 T
1 16 Q
(Example) 117.65 356.29 T
2 12 Q
2.59 (Chrom = migrate\050Chrom, SUBPOP\051) 135.65 338.95 P
3 F
1.08 ( chooses 20% of the individuals of) 359.29 338.95 P
6.2 (one subpopulation and replaces these individuals with uniformly chosen) 135.65 324.95 P
5.26 (individuals from all other subpopulations. This process is done for each) 135.65 310.95 P
(subpopulation. \050) 135.65 296.95 T
2 F
(MigOpt = [0.2, 0, 0]) 213.6 296.95 T
3 F
(\051) 357.53 296.95 T
2 F
-0.64 (Chrom = migrate\050Chrom, SUBPOP, [NaN 1 NaN], ObjV]\051) 135.65 270.95 P
3 F
-0.27 ( chooses) 490.95 270.95 P
0.3 (20% of the individuals of one subpopulation and replaces these individuals with a) 135.65 256.95 P
1.11 (selection of the \336ttest individuals \050smaller) 135.65 242.95 P
2 F
2.66 (ObjV) 346.85 242.95 P
3 F
1.11 (\051 from all other subpopulations.) 375.64 242.95 P
(\050net structure\051 This process is repeated for each subpopulation.) 135.65 228.95 T
2 F
5.45 ([Chrom,ObjV] = migrate\050Chrom,SUBPOP,[0.3 1 2],ObjV]\051) 135.65 202.95 P
3 F
5.16 (chooses 30% of the individuals of one subpopulation and replaces these) 135.65 188.95 P
5.9 (individuals with the \336ttest individuals \050smaller) 135.65 174.95 P
2 F
14.15 (ObjV) 397.58 174.95 P
3 F
5.9 (\051 from an adjacent) 426.37 174.95 P
0.69 (subpopulation in a unidirectional ring structure. This process is repeated for each) 135.65 160.95 P
1.12 (subpopulation. The \336rst subpopulation receives its new individuals from the last) 135.65 146.95 P
4.69 (subpopulation \050) 135.65 132.95 P
2 F
11.26 (SUBPOP) 215.3 132.95 P
3 F
4.69 (\051.) 258.48 132.95 P
2 F
11.26 (ObjV) 273.16 132.95 P
3 F
4.69 ( is returned according to the migration of) 301.94 132.95 P
(individuals.) 135.65 118.95 T
FMENDPAGE
%%EndPage: "12" 13
%%Page: "13" 13
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-13) 513.33 61.29 T
3 12 Q
(The migration scheme employed:) 135.65 736.95 T
(subpop1-->subpop2-->subpop3-->...-->subpop) 135.65 722.95 T
2 F
(SUBPOP) 360.24 722.95 T
3 F
(--> subpop1) 403.41 722.95 T
2 F
1.85 ([Chrom,ObjV] = migrate\050Chrom,SUBPOP,[NaN NaN 1],ObjV]\051) 135.65 696.95 P
3 F
5.16 (chooses 20% of the individuals of one subpopulation and replaces these) 135.65 682.95 P
0.69 (individuals with uniformly chosen individuals from both adjacent subpopulations) 135.65 668.95 P
1.18 (in an one dimensional neighborhood structure. This process is repeated for each) 135.65 654.95 P
1.12 (subpopulation. The \336rst subpopulation receives its new individuals from the last) 135.65 640.95 P
2.3 (\050) 135.65 626.95 P
2 F
5.53 (SUBPOP) 139.64 626.95 P
3 F
2.3 (\051 and second subpopulation the last subpopulation from the \336rst and) 182.82 626.95 P
2 F
9.55 (SUBPOP-1) 135.65 612.95 P
3 F
3.98 ( subpopulation.) 193.22 612.95 P
2 F
9.55 (ObjV) 278.14 612.95 P
3 F
3.98 ( is returned according to the migration of) 306.92 612.95 P
(individuals.) 135.65 598.95 T
(The migration scheme employed:) 135.65 584.95 T
(subpop) 135.65 570.95 T
2 F
(SUBPOP) 170.3 570.95 T
3 F
(-->subpop1<-->subpop2<-->...<-->subpop) 213.47 570.95 T
2 F
(SUBPOP) 417.71 570.95 T
3 F
(<--subpop1) 460.89 570.95 T
1 16 Q
(See Also) 117.65 542.29 T
2 12 Q
(select) 135.65 524.95 T
3 F
(,) 178.82 524.95 T
2 F
(recombin) 184.82 524.95 T
3 F
(,) 242.39 524.95 T
2 F
(mutate) 248.39 524.95 T
3 F
(,) 291.56 524.95 T
2 F
(reins) 297.56 524.95 T
1 16 Q
(Refer) 117.65 502.29 T
(ence) 155.53 502.29 T
3 12 Q
-0.23 ([1] H. M) 135.65 484.95 P
-0.23 (\237) 177.49 484.95 P
-0.23 (hlenbein, M. Schomisch and J. Born, \322The Parallel Genetic Algorithm as) 183.49 484.95 P
(a Function Optimizer\323,) 135.65 470.95 T
0 F
(Parallel Computing) 249.57 470.95 T
3 F
(, No. 17, pp.619-632, 1991.) 345.2 470.95 T
0.73 ([2] T) 135.65 444.95 P
0.73 (. Starkweather) 159.8 444.95 P
0.73 (, D. Whitley and K. Mathias, \322Optimization using Distributed) 229.32 444.95 P
0.29 (Genetic Algorithms\323, In) 135.65 430.95 P
0 F
0.29 (Parallel Pr) 255.77 430.95 P
0.29 (oblems Solving fr) 309.93 430.95 P
0.29 (om Natur) 394.02 430.95 P
0.29 (e) 439.52 430.95 P
3 F
0.29 (, Lecture Notes in) 444.84 430.95 P
(Computer Science, V) 135.65 416.95 T
(ol. 496, pp. 176-185, Springer) 237.03 416.95 T
(, 1991.) 381.13 416.95 T
2.45 ([3] R. T) 135.65 390.95 P
2.45 (anese, \322Distributed Genetic Algorithms\323,) 178.02 390.95 P
0 F
2.45 (Pr) 389.03 390.95 P
2.45 (oc. ICGA 3) 400.58 390.95 P
3 F
2.45 (, pp. 434-439,) 459.78 390.95 P
(Mor) 135.65 376.95 T
(gan Kaufmann Publishers, 1989.) 156.09 376.95 T
1.1 ([4] H.-M. V) 135.65 350.95 P
1.1 (oigt, J. Born and I. Santibanez-Koref, \322Modelling and Simulation of) 194.26 350.95 P
2.04 (Distributed Evolutionary Search Processes for Function Optimization\323, Parallel) 135.65 336.95 P
0.35 (Problems Solving from Nature, Lecture Notes in Computer Science, V) 135.65 322.95 P
0.35 (ol. 496, pp.) 476.65 322.95 P
(373-380, Springer V) 135.65 308.95 T
(erlag, 1991.) 233.25 308.95 T
FMENDPAGE
%%EndPage: "13" 14
%%Page: "14" 14
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-14) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(mut) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Discrete mutation operator) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = mut\050OldChrom, Pm, BaseV\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
2.12 (mut) 135.65 588.95 P
3 F
0.88 ( takes the representation of the current population and mutates each element) 157.24 588.95 P
2.74 (with a given probability) 135.65 574.95 P
2.74 (. T) 258.02 574.95 P
2.74 (o allow for varying bases in the chromosome and) 273.24 574.95 P
1.06 (structured populations,) 135.65 560.95 P
2 F
2.54 (mut) 250.69 560.95 P
3 F
1.06 ( allows an additional ar) 272.28 560.95 P
1.06 (gument) 388.22 560.95 P
2 F
2.54 (BaseV) 428.26 560.95 P
3 F
1.06 ( that speci\336es) 464.24 560.95 P
(the base of the individual elements of a chromosome.) 135.65 546.95 T
2 F
11.77 (NewChrom = mut\050OldChrom, Pm\051) 135.65 520.95 P
3 F
4.91 ( takes the current population,) 372.46 520.95 P
2 F
5.12 (OldChrom) 135.65 506.95 P
3 F
2.13 (, with each row corresponding to an individuals, and mutates each) 193.22 506.95 P
-0.17 (element with probability) 135.65 492.95 P
2 F
-0.41 (Pm) 256.07 492.95 P
3 F
-0.17 (. If the mutation probability) 270.46 492.95 P
-0.17 (,) 401.92 492.95 P
2 F
-0.41 (Pm) 407.75 492.95 P
3 F
-0.17 (, is omitted,) 422.14 492.95 P
2 F
-0.41 (Pm=0.7/) 481.27 492.95 P
3.06 (Lind) 135.65 478.95 P
3 F
1.28 ( is assumed, where) 164.43 478.95 P
2 F
3.06 (Lind) 263.13 478.95 P
3 F
1.28 ( is the length of the chromosome structure. This) 291.92 478.95 P
3.3 (value is selected as it implies that the probability of any one element of a) 135.65 464.95 P
1.07 (chromosome being mutated is approximately 0.5 \050see [1]\051. W) 135.65 450.95 P
1.07 (ithout a third input) 438.82 450.95 P
(ar) 135.65 436.95 T
(gument,) 144.75 436.95 T
2 F
(mut) 186.73 436.95 T
3 F
( assumes that the population is binary coded.) 208.32 436.95 T
2 F
1.55 (NewChrom = \050OldChrom, Pm, BaseV\051) 135.65 410.95 P
3 F
0.64 ( uses a third ar) 372.11 410.95 P
0.64 (gument to specify) 444.41 410.95 P
1.25 (the base of the mutation of the individual elements of the chromosomes. In this) 135.65 396.95 P
0.08 (case,) 135.65 382.95 P
2 F
0.2 (length\050BaseV\051 = Lind) 162.37 382.95 P
3 F
0.08 (, where) 306.68 382.95 P
2 F
0.2 (Lind) 345.14 382.95 P
3 F
0.08 ( is the length of the chromosome) 373.92 382.95 P
(structure.) 135.65 368.95 T
2 F
(mut) 135.65 342.95 T
3 F
( is a low-level mutation function normally called by) 157.24 342.95 T
2 F
(mutate) 409.41 342.95 T
3 F
(.) 452.59 342.95 T
1 16 Q
(Example) 117.65 314.29 T
3 12 Q
(Consider a binary population) 135.65 296.95 T
2 F
(OldChrom) 278.23 296.95 T
3 F
( with 4 individuals each of length 8:) 335.79 296.95 T
2 F
(OldChrom =[) 135.65 276.95 T
(0 0 0 0 0 1 1 1;) 153.65 262.95 T
(1 0 0 0 1 0 0 1;) 153.65 248.95 T
(0 0 1 0 1 0 0 0;) 153.65 234.95 T
(1 1 0 1 1 0 1 1]) 153.65 220.95 T
3 F
(Mutate) 135.65 200.95 T
2 F
(OldChrom) 172.62 200.95 T
3 F
( with default probability:) 230.19 200.95 T
2 F
(NewChrom = mut\050OldChrom\051) 135.65 180.95 T
3 F
(Thus,) 135.65 160.95 T
2 F
(NewChrom) 165.63 160.95 T
3 F
( can become:) 223.2 160.95 T
FMENDPAGE
%%EndPage: "14" 15
%%Page: "15" 15
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-15) 513.33 61.29 T
2 12 Q
(NewChrom =) 135.65 736.95 T
(0 0 1 0 0 1 1 1) 153.65 722.95 T
(1 1 0 0 0 0 0 1) 153.65 708.95 T
(0 0 0 0 1 0 0 0) 153.65 694.95 T
(1 1 0 1 1 0 1 1) 153.65 680.95 T
3 F
4.05 (The complement of a binary string is obtained by applying mutation with) 135.65 660.95 P
(probability 1.) 135.65 646.95 T
2 F
(mut\050[1 0 1 0 1 1 1 0], 1\051) 135.65 626.95 T
(ans =) 135.65 606.95 T
(0 1 0 1 0 0 0 1) 153.65 592.95 T
1 16 Q
(See Also) 117.65 570.29 T
2 12 Q
(mutate) 135.65 552.95 T
3 F
(,) 178.82 552.95 T
2 F
(mutbga) 184.82 552.95 T
1 16 Q
(Refer) 117.65 530.29 T
(ence) 155.53 530.29 T
3 12 Q
2.35 ([1] J\237r) 135.65 512.95 P
2.35 (gen Hesser and Reinhard M\212nner) 169.42 512.95 P
2.35 (, \322T) 338.86 512.95 P
2.35 (owards an Optimal Mutation Rate) 359.02 512.95 P
1.91 (Probability for Genetic Algorithms\323, In) 135.65 498.95 P
0 F
1.91 (Parallel Pr) 337.76 498.95 P
1.91 (oblem Solving fr) 393.54 498.95 P
1.91 (om Natur) 476.21 498.95 P
1.91 (e) 523.32 498.95 P
3 F
1.91 (,) 528.65 498.95 P
(Lecture Notes in Computer Science, V) 135.65 484.95 T
(ol. 496, pp23-32, 1990.) 319.96 484.95 T
FMENDPAGE
%%EndPage: "15" 16
%%Page: "16" 16
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-16) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(mutate) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Mutation of individuals \050high-level function\051.) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = mutate\050MUT_F, OldChrom, FieldDR\051) 135.65 628.95 T
(NewChrom = mutate\050MUT_F, OldChrom, FieldDR, MutOpt\051) 135.65 608.95 T
(NewChrom = mutate\050MUT_F, OldChrom, FieldDR, MutOpt,) 135.65 588.95 T
(SUBPOP\051) 153.65 574.95 T
1 16 Q
(Description) 117.65 552.29 T
2 12 Q
4.2 (mutate) 135.65 534.95 P
3 F
1.75 ( performs mutation of individuals from a population,) 178.82 534.95 P
2 F
4.2 (OldChrom) 449.01 534.95 P
3 F
1.75 (, and) 506.58 534.95 P
1.91 (returns the mutated individuals in a new population,) 135.65 520.95 P
2 F
4.58 (NewChrom) 403.75 520.95 P
3 F
1.91 (. Each row of) 461.32 520.95 P
2 F
(OldChrom) 135.65 506.95 T
3 F
( and) 193.22 506.95 T
2 F
(NewChrom) 216.53 506.95 T
3 F
( corresponds to one individual.) 274.1 506.95 T
2 F
1.64 (MUT_F) 135.65 480.95 P
3 F
0.69 ( is a string that contains the name of the low-level mutation function, e.g.) 171.63 480.95 P
2 F
(mutbga) 135.65 466.95 T
3 F
( or) 178.82 466.95 T
2 F
(mut) 194.81 466.95 T
3 F
(.) 216.4 466.95 T
2 F
0.87 (FieldDR) 135.65 440.95 P
3 F
0.36 ( is a matrix of size) 186.02 440.95 P
0.36 ( and contains the bounds of each variable) 330.94 440.95 P
3.43 (of an individual \050real-valued variables\051 or a matrix of size) 135.65 426.95 P
3.43 ( and) 507.9 426.95 P
2.56 (contains the base of each variable \050discrete-valued variables\051. If) 135.65 412.95 P
2 F
6.14 (FieldDR) 467.72 412.95 P
3 F
2.56 ( is) 518.09 412.95 P
(omitted, empty or) 135.65 398.95 T
2 F
(NaN) 224.27 398.95 T
3 F
(, a binary representation of the variables is assumed) 245.85 398.95 T
2 F
(.) 494 398.95 T
1.54 (MutOpt) 135.65 372.95 P
3 F
0.64 ( is an optional parameter containing the mutation rate, the probability of) 178.82 372.95 P
1.35 (mutating a variable of an individual. If) 135.65 358.95 P
2 F
3.23 (MutOpt) 333.62 358.95 P
3 F
1.35 ( is omitted) 376.79 358.95 P
2 F
3.23 (,) 430.14 358.95 P
3 F
1.35 ( a default mutation) 437.33 358.95 P
0.34 (rate is assumed. For real-value mutation) 135.65 344.95 P
2 F
0.82 (MutOpt) 333.23 344.95 P
3 F
0.34 ( can contain a second parameter) 376.41 344.95 P
(specifying a scalar for shrinking the mutation range \050see) 135.65 330.95 T
2 F
(mutbga) 408.44 330.95 T
3 F
(\051.) 451.61 330.95 T
2 F
0.01 (SUBPOP) 135.65 304.95 P
3 F
0.01 ( is an optional parameter and determines the number of subpopulations in) 178.82 304.95 P
2 F
5.07 (OldChrom) 135.65 290.95 P
3 F
2.11 (. If) 193.22 290.95 P
2 F
5.07 (SUBPOP) 214.42 290.95 P
3 F
2.11 ( is omitted or) 257.6 290.95 P
2 F
5.07 (NaN,) 332.69 290.95 P
5.07 (SUBPOP = 1) 366.58 290.95 P
3 F
2.11 ( is assumed. All) 448.68 290.95 P
(subpopulations in) 135.65 276.95 T
2 F
(OldChrom) 223.61 276.95 T
3 F
( must have the same size.) 281.18 276.95 T
1 16 Q
(Example) 117.65 248.29 T
3 12 Q
4.98 (For examples, see) 135.65 230.95 P
2 F
11.94 (mutbga) 239.84 230.95 P
3 F
4.98 ( \050real-value mutation\051 and) 283.02 230.95 P
2 F
11.94 (mut) 430.82 230.95 P
3 F
4.98 ( \050discrete-value) 452.41 230.95 P
(mutation\051.) 135.65 216.95 T
1 16 Q
(Algorithm) 117.65 194.29 T
2 12 Q
3.36 (mutate) 135.65 176.95 P
3 F
1.4 ( checks the consistency of the input parameters and calls the low-level) 178.82 176.95 P
-0.05 (mutation function. If) 135.65 162.95 P
2 F
-0.12 (mutate) 238.1 162.95 P
3 F
-0.05 ( is called with more than one subpopulation then the) 281.27 162.95 P
(low-level mutation function is called separately for each subpopulation.) 135.65 148.95 T
1 16 Q
(See Also) 117.65 126.29 T
2 12 Q
(mutbga) 135.65 108.95 T
3 F
(,) 178.82 108.95 T
2 F
(mut) 184.82 108.95 T
3 F
(,) 206.41 108.95 T
2 F
(recombin) 212.41 108.95 T
3 F
(,) 269.97 108.95 T
2 F
(select) 275.97 108.95 T
279.46 437.35 330.94 450.13 C
3 12 Q
0 X
0 K
(2) 280.46 440.95 T
2 F
(N) 299.04 440.95 T
(v) 306.94 440.95 T
(a) 314.84 440.95 T
(r) 322.74 440.95 T
4 F
(\264) 289.45 440.95 T
-8.35 24.95 603.65 816.95 C
450.42 423.35 507.9 436.13 C
3 12 Q
0 X
0 K
(1) 454.42 426.95 T
2 F
(N) 473 426.95 T
(v) 480.9 426.95 T
(a) 488.8 426.95 T
(r) 496.7 426.95 T
4 F
(\264) 463.41 426.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-17) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(mutbga) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
3.11 (Mutation of real-valued population \050mutation operator of the breeder genetic) 135.65 674.95 P
(algorithm\051.) 135.65 660.95 T
1 16 Q
(Synopsis) 117.65 632.29 T
2 12 Q
(NewChrom = mutbga\050OldChrom, FieldDR\051) 135.65 614.95 T
(NewChrom = mutbga\050OldChrom, FieldDR, MutOpt\051) 135.65 594.95 T
1 16 Q
(Description) 117.65 572.29 T
2 12 Q
-0.41 (mutbga) 135.65 554.95 P
3 F
-0.17 ( takes the real-valued population,) 178.82 554.95 P
2 F
-0.41 (OldChrom) 340.52 554.95 P
3 F
-0.17 (, mutates each variable with) 398.09 554.95 P
(given probability and returns the population after mutation,) 135.65 540.95 T
2 F
(NewChrom) 423.13 540.95 T
3 F
(.) 480.7 540.95 T
2 F
-0.55 (NewChrom = mutbga\050OldChrom, FieldDR, MutOpt\051) 135.65 514.95 P
3 F
-0.23 ( takes the current) 450.07 514.95 P
3.3 (population, stored in the matrix) 135.65 500.95 P
2 F
7.91 (OldChrom) 306.05 500.95 P
3 F
3.3 ( and mutates each variable with) 363.61 500.95 P
0.1 (probability) 135.65 486.95 P
2 F
0.24 (MutOpt\0501\051) 191.39 486.95 P
3 F
0.1 ( by addition of small random values \050size of the mutation) 256.15 486.95 P
(step\051. The mutation step can be shrunk with) 135.65 472.95 T
2 F
(MutOpt\0502\051) 348.51 472.95 T
3 F
(.) 413.27 472.95 T
2 F
1.31 (FieldDR) 135.65 446.95 P
3 F
0.55 ( is a matrix containing the boundaries of each variable of an individual) 186.02 446.95 P
(\050see) 135.65 432.95 T
2 F
(crtrp) 157.96 432.95 T
3 F
(\051.) 193.94 432.95 T
2 F
(MutOpt) 135.65 406.95 T
3 F
( is an optional vector with a maximum of two parameters:) 178.82 406.95 T
2 F
(MutOpt\0501\051) 135.65 386.95 T
3 F
(:) 200.41 386.95 T
(scalar containing the mutation rate in the range) 171.65 372.95 T
2 F
([0, 1].) 400.15 372.95 T
3 F
0.43 (If omitted or) 171.65 358.95 P
2 F
1.02 (NaN) 236.55 358.95 P
3 F
0.43 (,) 258.14 358.95 P
2 F
1.02 (MutOpt\0501\051 = 1/Nvar) 264.56 358.95 P
3 F
0.43 ( is assumed, where) 396.14 358.95 P
2 F
1.02 (Nvar) 491.44 358.95 P
3 F
0.43 ( is) 520.22 358.95 P
0.63 (the number of variables per individual de\336ned by) 171.65 344.95 P
2 F
1.51 (size\050FieldDR,2\051.) 416.51 344.95 P
3 F
3.35 (This value is selected as it implies that the number of variables per) 171.65 330.95 P
(individual mutated is approximately 1.) 171.65 316.95 T
2 F
(MutOpt\0502\051) 135.65 296.95 T
3 F
(:) 200.41 296.95 T
1.99 (scalar containing a value in the range [0, 1] for shrinking the mutation) 171.65 282.95 P
(range.) 171.65 268.95 T
(If omitted or) 171.65 254.95 T
2 F
(NaN) 235.27 254.95 T
3 F
(,) 256.86 254.95 T
2 F
(MutOpt\0502\051 = 1) 262.86 254.95 T
3 F
( is assumed \050no shrinking\051.) 356.41 254.95 T
2 F
(mutbga) 135.65 234.95 T
3 F
( is a low-level mutation function normally called by) 178.82 234.95 T
2 F
(mutate) 431 234.95 T
3 F
(.) 474.17 234.95 T
1 16 Q
(Example) 117.65 206.29 T
3 12 Q
(Consider the following population with three real-valued individuals:) 135.65 188.95 T
2 F
(OldChrom = [) 135.65 168.95 T
(40.2381 -17.1766) 153.65 154.95 T
( 28.9530) 275.98 154.95 T
(15.3883;) 347.94 154.95 T
(82.0642) 153.65 140.95 T
(13.2639) 218.41 140.95 T
(13.3596) 283.18 140.95 T
(-9.0916;) 347.94 140.95 T
(52.4396) 153.65 126.95 T
(25.6410) 218.41 126.95 T
(15.2014) 283.18 126.95 T
(-2.5435]) 347.94 126.95 T
3 F
(The bounds are de\336ned as:) 135.65 106.95 T
FMENDPAGE
%%EndPage: "17" 18
%%Page: "18" 18
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-18) 513.33 61.29 T
2 12 Q
(FieldDR = [) 135.65 736.95 T
(-100 -50 -30 -20;) 153.65 722.95 T
( 100) 153.65 708.95 T
(50) 196.82 708.95 T
( 30) 218.41 708.95 T
(20]) 254.39 708.95 T
3 F
2.08 (T) 135.65 688.95 P
2.08 (o mutate) 142.14 688.95 P
2 F
4.99 (OldChrom) 190.93 688.95 P
3 F
2.08 ( with mutation probability) 248.5 688.95 P
2 F
4.99 (1/4) 385.41 688.95 P
3 F
2.08 ( and no shrinking of the) 407 688.95 P
(mutation range:) 135.65 674.95 T
2 F
(NewChrom = mutbga\050OldChrom, FieldDR, [1/4 1.0]\051) 135.65 654.95 T
1.38 (mutbga) 135.65 634.95 P
3 F
0.57 ( produces an internal mask table,) 178.82 634.95 P
2 F
1.38 (MutMx) 343.14 634.95 P
3 F
0.57 (, determining which variable to) 379.12 634.95 P
(mutate and the sign for adding) 135.65 620.95 T
2 F
(delta) 284.88 620.95 T
3 F
( \050see Algorithm\051, e.g.) 320.86 620.95 T
2 F
(MutMx = [) 135.65 600.95 T
(0) 153.65 586.95 T
(0) 175.24 586.95 T
( 0) 189.63 586.95 T
(1;) 218.41 586.95 T
(0) 153.65 572.95 T
(0) 175.24 572.95 T
(-1) 189.63 572.95 T
(0;) 218.41 572.95 T
(0) 153.65 558.95 T
( 0) 168.04 558.95 T
(-1) 189.63 558.95 T
(-1]) 211.22 558.95 T
3 F
(An second internal table,) 135.65 538.95 T
2 F
(delta) 258.56 538.95 T
3 F
(, speci\336es the normalized mutation step size, e.g.) 294.54 538.95 T
2 F
(delta = [) 135.65 518.95 T
(0.2500) 153.65 504.95 T
(0.2500 0.2500 0.2500;) 204.02 504.95 T
(0.0001 0.0001 0.0001 0.0001;) 153.65 490.95 T
(0.2505 0.2505 0.2505 0.2505]) 153.65 476.95 T
3 F
(Thus, after mutation) 135.65 456.95 T
2 F
(NewChrom) 236.25 456.95 T
3 F
( becomes:) 293.82 456.95 T
2 F
(NewChrom =) 135.65 436.95 T
(40.2381 -17.1766 28.9530 20.0000) 153.65 422.95 T
(82.0642) 153.65 408.95 T
(13.2638 13.3559 -9.0916) 218.41 408.95 T
(52.4396) 153.65 394.95 T
(25.6410 -7.6858 -7.5539) 218.41 394.95 T
(NewChrom - OldChrom) 135.65 374.95 T
3 F
( shows the mutation steps) 272.37 374.95 T
2 F
(NewChrom - OldChrom =) 135.65 354.95 T
(0) 196.82 340.95 T
(0) 254.39 340.95 T
(0) 311.96 340.95 T
(4.6117) 333.55 340.95 T
(0) 196.82 326.95 T
(0) 254.39 326.95 T
(-0.0037) 268.79 326.95 T
(0) 369.53 326.95 T
(0) 196.82 312.95 T
( 0) 247.2 312.95 T
(-7.5156 -5.0104) 268.79 312.95 T
1 16 Q
(Algorithm) 117.65 290.29 T
3 12 Q
(The mutation of a variable is computed as follows:) 135.65 272.95 T
(mutated variable = variable +) 135.65 252.95 T
2 F
(MutMx) 135.65 232.95 T
3 F
(=) 180.62 232.95 T
( with probability) 202.43 232.95 T
2 F
(MutOpt\0501\051) 285.39 232.95 T
3 F
(, \050+ or - with equal probability\051) 350.15 232.95 T
(else 0) 171.65 218.95 T
2 F
(range =) 135.65 198.95 T
3 F
( domain of variable \050search interval de\336ned by) 228.79 198.95 T
2 F
(FieldDR) 455.94 198.95 T
3 F
(\051.) 506.32 198.95 T
2 F
(delta =) 135.65 165.03 T
3 F
(,) 237.45 165.03 T
( with probability 1/m, else 0, m = 20.) 281.05 165.03 T
0.1 (W) 135.65 131.79 P
0.1 (ith m = 20, the mutation operator is able to locate the optimum up to a precision) 146.49 131.79 P
(of) 135.65 117.79 T
(.) 303.18 117.79 T
280.07 247.96 504.55 261.94 C
2 12 Q
0 X
0 K
(M) 281.07 252.95 T
(u) 288.98 252.95 T
(t) 296.88 252.95 T
(M) 304.78 252.95 T
(x) 312.68 252.95 T
(r) 332.46 252.95 T
(a) 340.36 252.95 T
(n) 348.27 252.95 T
(g) 356.17 252.95 T
(e) 364.07 252.95 T
(M) 383.85 252.95 T
(u) 391.75 252.95 T
(t) 399.65 252.95 T
(O) 407.55 252.95 T
(p) 415.46 252.95 T
(t) 423.36 252.95 T
(2) 438.36 252.95 T
4 F
(\050) 433.26 252.95 T
(\051) 446.16 252.95 T
2 F
(d) 464.74 252.95 T
(e) 472.64 252.95 T
(l) 480.55 252.95 T
(t) 488.45 252.95 T
(a) 496.35 252.95 T
4 F
(\264) 374.26 252.95 T
(\264) 455.16 252.95 T
(\264) 322.88 252.95 T
-8.35 24.95 603.65 816.95 C
187.39 229.43 202.43 241.99 C
3 12 Q
0 X
0 K
(1) 195.43 232.95 T
4 F
(\261) 188.39 232.95 T
-8.35 24.95 603.65 816.95 C
193.22 195.35 228.79 208.13 C
3 12 Q
0 X
0 K
(0) 194.22 198.95 T
(.) 200.21 198.95 T
(5) 203.21 198.95 T
4 F
(\264) 212.21 198.95 T
-8.35 24.95 603.65 816.95 C
189.02 147.79 237.44 186.95 C
4 12 Q
0 X
0 K
(a) 211.43 165.03 T
0 9 Q
(i) 219.46 160.38 T
3 12 Q
(2) 222.67 165.03 T
0 9 Q
(i) 233.95 171.06 T
4 F
(-) 228.67 171.06 T
0 F
(i) 191.26 150.74 T
3 F
(0) 204.7 150.74 T
4 F
(=) 196.76 150.74 T
0 F
(m) 190.02 179.81 T
3 F
(1) 205.94 179.81 T
4 F
(-) 198.76 179.81 T
4 18 Q
(\345) 193.81 161.83 T
-8.35 24.95 603.65 816.95 C
243.44 157.53 281.04 174.21 C
4 12 Q
0 X
0 K
(a) 244.69 165.03 T
0 9 Q
(i) 252.72 160.38 T
3 12 Q
(1) 273.8 165.03 T
4 F
(=) 261.22 165.03 T
-8.35 24.95 603.65 816.95 C
148.64 112.79 303.18 131.01 C
2 12 Q
0 X
0 K
(r) 149.64 117.79 T
(a) 157.54 117.79 T
(n) 165.44 117.79 T
(g) 173.34 117.79 T
(e) 181.24 117.79 T
(M) 201.02 117.79 T
4 F
(\264) 191.44 117.79 T
2 F
(u) 208.93 117.79 T
(t) 216.83 117.79 T
(O) 224.73 117.79 T
(p) 232.63 117.79 T
(t) 240.54 117.79 T
(2) 255.54 117.79 T
4 F
(\050) 250.44 117.79 T
(\051) 263.34 117.79 T
3 F
(2) 281.92 117.79 T
3 9 Q
(1) 293.2 123.88 T
(9) 297.69 123.88 T
4 F
(-) 287.92 123.88 T
4 12 Q
(\264) 272.33 117.79 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-19) 513.33 61.29 T
3 12 Q
0.92 (The mutation operator) 135.65 736.95 P
2 F
2.21 (mutbga) 248.67 736.95 P
3 F
0.92 ( is able to generate most points in the hypercube) 291.84 736.95 P
0.24 (de\336ned by the variables of the individual and the range of the mutation. However) 135.65 722.95 P
0.24 (,) 528.65 722.95 P
0.93 (it tests more often near the variable, that is, the probability of small step sizes is) 135.65 708.95 P
(greater than that of lar) 135.65 694.95 T
(ger step sizes.) 242.01 694.95 T
1 16 Q
(See Also) 117.65 666.29 T
2 12 Q
(mutate) 135.65 648.95 T
3 F
(,) 178.82 648.95 T
2 F
(recdis) 184.82 648.95 T
3 F
(,) 228 648.95 T
2 F
(recint) 233.99 648.95 T
3 F
(,) 277.17 648.95 T
2 F
(reclin) 283.17 648.95 T
1 16 Q
(Refer) 117.65 626.29 T
(ence) 155.53 626.29 T
3 12 Q
3.9 ([1] H. M) 135.65 608.95 P
3.9 (\237) 185.76 608.95 P
3.9 (hlenbein and D. Schlierkamp-V) 191.76 608.95 P
3.9 (oosen, \322Predictive Models for the) 354.48 608.95 P
0.18 (Breeder Genetic Algorithm: I. Continuous Parameter Optimization\323,) 135.65 594.95 P
0 F
0.18 (Evolutionary) 469.02 594.95 P
(Computation) 135.65 580.95 T
3 F
(, V) 198.29 580.95 T
(ol. 1, No. 1, pp.25-49, 1993.) 211.4 580.95 T
FMENDPAGE
%%EndPage: "19" 20
%%Page: "20" 20
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-20) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(ranking) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Rank-based \336tness assignment) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(FitnV = ranking\050ObjV\051) 135.65 628.95 T
(FitnV = ranking\050ObjV, RFun\051) 135.65 608.95 T
(FitnV = ranking\050ObjV, RFun, SUBPOP\051) 135.65 588.95 T
1 16 Q
(Description) 117.65 566.29 T
2 12 Q
-0.17 (ranking) 135.65 548.95 P
3 F
-0.07 ( ranks individuals according to their objective values,) 186.02 548.95 P
2 F
-0.17 (ObjV) 444.93 548.95 P
3 F
-0.07 (, and returns) 472.17 548.95 P
1.5 (a column vector containing the corresponding individual \336tness values,) 135.65 534.95 P
2 F
3.59 (FitnV) 494.22 534.95 P
3 F
1.5 (.) 528.65 534.95 P
(This function ranks individuals for) 135.65 520.95 T
1 F
(minimisation) 305.21 520.95 T
3 F
(.) 372.52 520.95 T
2 F
(RFun) 135.65 494.95 T
3 F
( is an optional vector with 1, 2 or) 164.43 494.95 T
2 F
(length\050ObjV\051) 326.33 494.95 T
3 F
( parameters:) 412.68 494.95 T
0.28 (If) 135.65 474.95 P
2 F
0.68 (RFun) 146.92 474.95 P
3 F
0.28 ( is a scalar in) 175.7 474.95 P
2 F
0.68 ([1, 2]) 242.72 474.95 P
3 F
0.28 (, linear ranking is assumed and the scalar indicates) 286.58 474.95 P
(the selective pressure.) 135.65 460.95 T
(If) 135.65 440.95 T
2 F
(RFun) 146.63 440.95 T
3 F
( is a vector with 2 parameters:) 175.42 440.95 T
2 F
(RFun\0501\051) 135.65 420.95 T
3 F
(:) 186.02 420.95 T
(scalar indicating the selective pressure) 171.65 406.95 T
(for linear ranking) 171.65 392.95 T
2 F
(RFun\0501\051) 258.58 392.95 T
3 F
( must be in) 308.95 392.95 T
2 F
([1, 2]) 364.92 392.95 T
3 F
(for non-linear ranking) 171.65 378.95 T
2 F
(RFun\0501\051) 280.56 378.95 T
3 F
( must be in) 330.93 378.95 T
2 F
([1, length\050ObjV\051-2]) 386.91 378.95 T
3 F
(If) 171.65 364.95 T
2 F
(NaN) 182.63 364.95 T
3 F
(,) 204.22 364.95 T
2 F
(RFun\0501\051 = 2) 210.22 364.95 T
3 F
( is assumed.) 289.38 364.95 T
2 F
(RFun\0502\051) 135.65 344.95 T
3 F
(:) 186.02 344.95 T
(ranking method) 171.65 330.95 T
(0 - linear ranking) 171.65 316.95 T
(1 - non-linear ranking) 171.65 302.95 T
0.29 (If) 135.65 282.95 P
2 F
0.69 (RFun) 146.92 282.95 P
3 F
0.29 ( is a vector of) 175.71 282.95 P
2 F
0.69 (length\050ObjV\051) 245.43 282.95 P
3 F
0.29 (, it should contain the \336tness values to be) 331.78 282.95 P
(assigned to each rank.) 135.65 268.95 T
2.78 (If) 135.65 242.95 P
2 F
6.66 (RFun) 149.41 242.95 P
3 F
2.78 ( is omitted or) 178.2 242.95 P
2 F
6.66 (NaN) 255.94 242.95 P
3 F
2.78 (, linear ranking and a selective pressure of 2 are) 277.52 242.95 P
(assumed.) 135.65 228.95 T
2 F
2.19 (SUBPOP) 135.65 202.95 P
3 F
0.91 ( is an optional parameter and indicates the number of subpopulations in) 178.82 202.95 P
2 F
10.67 (ObjV) 135.65 188.95 P
3 F
4.45 (. If) 162.88 188.95 P
2 F
10.67 (SUBPOP) 188.76 188.95 P
3 F
4.45 ( is omitted or) 231.93 188.95 P
2 F
10.67 (NaN) 316.35 188.95 P
3 F
4.45 (,) 337.94 188.95 P
2 F
10.67 (SUBPOP = 1) 348.38 188.95 P
3 F
4.45 ( is assumed. All) 441.68 188.95 P
(subpopulations in) 135.65 174.95 T
2 F
(ObjV) 223.61 174.95 T
3 F
( must have the same size.) 252.39 174.95 T
2.76 (If) 135.65 148.95 P
2 F
6.63 (ranking) 149.4 148.95 P
3 F
2.76 ( is called with more than one subpopulation then the ranking is) 199.77 148.95 P
(performed separately for each subpopulation.) 135.65 134.95 T
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-21) 513.33 61.29 T
1 16 Q
(Example) 117.65 734.29 T
3 12 Q
(Consider a population with 10 individuals. The current objective values are:) 135.65 716.95 T
2 F
(ObjV = [1; 2; 3; 4; 5; 10; 9; 8; 7; 6]) 135.65 696.95 T
3 F
(Evaluate the \336tness with linear ranking and selective pressure 2:) 135.65 676.95 T
2 F
(FitnV = ranking\050ObjV\051) 135.65 656.95 T
(FitnV =) 135.65 636.95 T
(2.00) 153.65 622.95 T
(1.77) 153.65 608.95 T
(1.55) 153.65 594.95 T
(1.33) 153.65 580.95 T
(1.11) 153.65 566.95 T
(0) 153.65 552.95 T
(0.22) 153.65 538.95 T
(0.44) 153.65 524.95 T
(0.66) 153.65 510.95 T
(0.88) 153.65 496.95 T
3 F
(Evaluate the \336tness with non-linear ranking and selective pressure 2:) 135.65 476.95 T
2 F
(FitnV = ranking\050ObjV, [2 1]\051) 135.65 456.95 T
(FitnV =) 135.65 436.95 T
(2.00) 153.65 422.95 T
(1.66) 153.65 408.95 T
(1.38) 153.65 394.95 T
(1.15) 153.65 380.95 T
(0.95) 153.65 366.95 T
(0.38) 153.65 352.95 T
(0.45) 153.65 338.95 T
(0.55) 153.65 324.95 T
(0.66) 153.65 310.95 T
(0.79) 153.65 296.95 T
3 F
(Evaluate the \336tness with the values in RFun:) 135.65 276.95 T
2 F
(RFun = [3; 5; 7; 10; 14; 18; 25; 30; 40; 50]) 135.65 256.95 T
(FitnV = ranking\050ObjV, RFun\051) 135.65 236.95 T
FMENDPAGE
%%EndPage: "21" 22
%%Page: "22" 22
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-22) 513.33 61.29 T
2 12 Q
(FitnV =) 135.65 736.95 T
(50) 153.65 722.95 T
(40) 153.65 708.95 T
(30) 153.65 694.95 T
(25) 153.65 680.95 T
(18) 153.65 666.95 T
( 3) 153.65 652.95 T
( 5) 153.65 638.95 T
( 7) 153.65 624.95 T
(10) 153.65 610.95 T
(14) 153.65 596.95 T
3 F
3.93 (Evaluate the \336tness with non-linear ranking and selective pressure 2 for 2) 135.65 576.95 P
(subpopulations in) 135.65 562.95 T
2 F
(ObjV) 223.61 562.95 T
3 F
(:) 251.5 562.95 T
2 F
(FitnV = ranking\050ObjV, [2 1], 2\051) 135.65 542.95 T
(FitnV =) 135.65 522.95 T
(2.00) 153.65 508.95 T
(1.28) 153.65 494.95 T
(0.83) 153.65 480.95 T
(0.53) 153.65 466.95 T
(0.34) 153.65 452.95 T
(0.34) 153.65 438.95 T
(0.53) 153.65 424.95 T
(0.83) 153.65 410.95 T
(1.28) 153.65 396.95 T
(2.00) 153.65 382.95 T
1 16 Q
(Algorithm) 117.65 360.29 T
3 12 Q
2.48 (The algorithms for both linear and non-linear ranking \336rst sorts the objective) 135.65 342.95 P
0.21 (function values into descending order) 135.65 328.95 P
0.21 (. The least \336t individual is placed in position) 316.38 328.95 P
1 (1 in the sorted list of objective values and the most \336t individual position) 135.65 314.95 P
2 F
2.41 (Nind) 502.86 314.95 P
3 F
0.08 (where) 135.65 300.95 P
2 F
0.19 (Nind) 168.02 300.95 P
3 F
0.08 ( is the number of individuals in the population. A \336tness value is then) 196.81 300.95 P
4.45 (assigned to each individual depending on its position,) 135.65 286.95 P
2 F
10.68 (Pos) 431.42 286.95 P
3 F
4.45 (, in the sorted) 453.01 286.95 P
(population.) 135.65 272.95 T
(For linear ranking individuals are assigned \336tness values according to:) 135.65 252.95 T
2 F
(FitnV\050Pos\051 =) 135.65 231.96 T
3 F
(, and) 484.28 231.96 T
(for non-linear ranking according to:) 135.65 210.97 T
2 F
(FitnV\050Pos\051 =) 135.65 178.65 T
3 F
(,) 308.28 178.65 T
(where) 135.65 121.83 T
0 F
( X) 164.95 121.83 T
3 F
( is computed as the root of the polynomial:) 175.27 121.83 T
225 226.97 484.28 240.95 C
2 12 Q
0 X
0 K
(2) 226 231.96 T
(S) 245.78 231.96 T
(P) 253.68 231.96 T
4 F
(-) 236.2 231.96 T
2 F
(2) 273.46 231.96 T
(S) 300.34 231.96 T
(P) 308.24 231.96 T
(1) 328.02 231.96 T
4 F
(-) 318.44 231.96 T
(\050) 295.24 231.96 T
(\051) 335.83 231.96 T
2 F
(P) 361.51 231.96 T
(o) 369.41 231.96 T
(s) 377.31 231.96 T
(1) 397.09 231.96 T
4 F
(-) 387.51 231.96 T
(\050) 356.41 231.96 T
(\051) 404.89 231.96 T
(\264) 344.82 231.96 T
(\264) 283.66 231.96 T
2 F
(N) 425.99 231.96 T
(i) 433.89 231.96 T
(n) 441.8 231.96 T
(d) 449.7 231.96 T
(1) 469.48 231.96 T
4 F
(-) 459.89 231.96 T
(\050) 420.89 231.96 T
(\051) 477.28 231.96 T
(\244) 413.89 231.96 T
(+) 263.88 231.96 T
-8.35 24.95 603.65 816.95 C
225 137.83 308.28 198.97 C
2 12 Q
0 X
0 K
(N) 227 185.72 T
(i) 234.9 185.72 T
(n) 242.8 185.72 T
(d) 250.71 185.72 T
0 F
(X) 270.48 185.72 T
0 9 Q
(P) 277.81 191.82 T
(o) 283.83 191.82 T
(s) 288.86 191.82 T
3 F
(1) 301.79 191.82 T
4 F
(-) 294.6 191.82 T
4 12 Q
(\264) 260.9 185.72 T
0 F
(X) 267.86 156.94 T
2 F
(i) 282.99 156.94 T
4 F
(\050) 277.89 156.94 T
(\051) 290.8 156.94 T
2 F
(i) 239.01 141.31 T
(1) 257.14 141.31 T
4 9 Q
(=) 249.21 141.31 T
2 12 Q
(N) 236.49 172.25 T
(i) 244.21 172.25 T
(n) 251.94 172.25 T
(d) 259.66 172.25 T
4 18 Q
(\345) 245.26 153.74 T
227 181.24 306.03 181.24 2 L
0.33 H
0 Z
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "22" 23
%%Page: "23" 23
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-23) 513.33 61.29 T
3 12 Q
(.) 473.9 730.99 T
0.08 (The vector) 135.65 709.99 P
2 F
0.19 (FitnV) 190.42 709.99 P
3 F
0.08 ( is then unsorted to re\337ect the order of the original input vector) 226.4 709.99 P
0.08 (,) 528.65 709.99 P
2 F
(ObjV) 135.65 695.99 T
3 F
(.) 162.88 695.99 T
1 16 Q
(See Also) 117.65 673.32 T
2 12 Q
(select) 135.65 655.99 T
3 F
(,) 178.82 655.99 T
2 F
(rws) 184.82 655.99 T
3 F
(,) 206.41 655.99 T
2 F
(sus) 212.41 655.99 T
1 16 Q
(Refer) 117.65 633.32 T
(ence) 155.53 633.32 T
3 12 Q
1.46 ([1] D. Whitley) 135.65 615.99 P
1.46 (, \322The GENIT) 208.07 615.99 P
1.46 (OR Algorithm and Selection Pressure: Why Rank-) 279.71 615.99 P
2.08 (Based Allocation of Reproductive T) 135.65 601.99 P
2.08 (rials is Best\323,) 317.43 601.99 P
0 F
2.08 (Pr) 390.97 601.99 P
2.08 (oc. ICGA 3) 402.52 601.99 P
3 F
2.08 (, pp. 1) 460.97 601.99 P
2.08 (16-121,) 494.67 601.99 P
(Mor) 135.65 587.99 T
(gan Kaufmann Publishers, 1989.) 156.09 587.99 T
135.65 725.99 473.9 744.95 C
2 12 Q
0 X
0 K
(0) 136.65 730.99 T
(S) 169.53 730.99 T
(P) 177.43 730.99 T
(1) 197.21 730.99 T
4 F
(-) 187.63 730.99 T
(\050) 164.43 730.99 T
(\051) 205.01 730.99 T
2 F
(X) 223.59 730.99 T
(N) 231.25 736.47 T
(i) 238.98 736.47 T
(n) 246.7 736.47 T
(d) 254.43 736.47 T
(1) 271.06 736.47 T
4 9 Q
(-) 263.87 736.47 T
4 12 Q
(\264) 214.01 730.99 T
2 F
(S) 290.84 730.99 T
(P) 298.74 730.99 T
(X) 318.52 730.99 T
(N) 326.18 736.47 T
(i) 333.9 736.47 T
(n) 341.63 736.47 T
(d) 349.35 736.47 T
(2) 365.98 736.47 T
4 9 Q
(-) 358.8 736.47 T
4 12 Q
(\264) 308.94 730.99 T
(\274) 385.76 730.99 T
2 F
(S) 410.34 730.99 T
(P) 418.24 730.99 T
(X) 438.02 730.99 T
(S) 457.8 730.99 T
(P) 465.71 730.99 T
4 F
(+) 448.22 730.99 T
(\264) 428.44 730.99 T
(+) 281.25 730.99 T
(+) 376.18 730.99 T
(+) 400.76 730.99 T
(=) 149.84 730.99 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "23" 24
%%Page: "24" 24
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-24) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(ecdis) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Discrete recombination) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = recdis\050OldChrom\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
6.77 (recdis) 135.65 588.95 P
3 F
2.82 ( performs discrete recombination between pairs of individuals in the) 178.82 588.95 P
3.85 (current population,) 135.65 574.95 P
2 F
9.24 (OldChrom) 237.62 574.95 P
3 F
3.85 (, and returns a new population after mating,) 295.18 574.95 P
2 F
(NewChrom) 135.65 560.95 T
3 F
(. Each row of) 193.22 560.95 T
2 F
(OldChrom) 260.82 560.95 T
3 F
( corresponds to one individual.) 318.39 560.95 T
1.18 (The pairs are mated in order) 135.65 534.95 P
1.18 (, odd row with the next even row) 276.62 534.95 P
1.18 (. If the number of) 442.66 534.95 P
0.5 (rows in the matrix) 135.65 520.95 P
2 F
1.2 (OldChrom) 228.25 520.95 P
3 F
0.5 ( is odd then the last row is not mated and added at) 285.82 520.95 P
4.19 (the end of) 135.65 506.95 P
2 F
10.05 (NewChrom) 199.16 506.95 P
3 F
4.19 (. The population should therefore be or) 256.73 506.95 P
4.19 (ganised into) 469.16 506.95 P
0.94 (contiguous pairs that require mating. This can be achieved by using the function) 135.65 492.95 P
2 F
0.28 (ranking) 135.65 478.95 P
3 F
0.12 ( to assign a \336tness level to each individual and a selection function \050e.g.) 186.02 478.95 P
2 F
5 (select) 135.65 464.95 P
3 F
2.09 (\051 to select individuals with a probability related to their \336tness in the) 178.82 464.95 P
(current population.) 135.65 450.95 T
2 F
(recdis) 135.65 424.95 T
3 F
( is a low-level recombination function normally called by) 178.82 424.95 T
2 F
(recombin) 457.64 424.95 T
3 F
(.) 515.2 424.95 T
1 16 Q
(Example) 117.65 396.29 T
3 12 Q
(Consider the following population with \336ve real-value individuals:) 135.65 378.95 T
2 F
(OldChrom = [) 135.65 358.95 T
( 40.23 -17.17) 153.65 344.95 T
( 28.95) 254.39 344.95 T
(15.38; % parent1) 311.96 344.95 T
( 82.06) 153.65 330.95 T
( 13.26) 204.02 330.95 T
(13.35) 261.59 330.95 T
(-9.09; % parent2) 311.96 330.95 T
( 52.43) 153.65 316.95 T
(25.64) 211.22 316.95 T
(15.20) 261.59 316.95 T
(-2.54; % parent3) 311.96 316.95 T
(-47.50) 153.65 302.95 T
(49.10) 211.22 302.95 T
(9.09) 268.79 302.95 T
( 10.65; % parent4) 304.77 302.95 T
(-90.50 -13.46 -25.63) 153.65 288.95 T
(-0.89] % parent5) 311.96 288.95 T
3 F
(T) 135.65 268.95 T
(o perform discrete recombination:) 142.14 268.95 T
2 F
(NewChrom = recdis\050OldChrom\051) 135.65 248.95 T
4.11 (recdis) 135.65 228.95 P
3 F
1.71 ( produces an internal mask table determining which parents contribute) 178.82 228.95 P
(which variables to the of) 135.65 214.95 T
(fspring, e.g.) 254.01 214.95 T
2 F
(Mask = [) 135.65 194.95 T
(1 2 1 2; % for producing offspring1) 160.84 180.95 T
( 2 2 1 1; % for producing offspring2) 153.65 166.95 T
( 2 1 2 1; % for producing offspring3) 153.65 152.95 T
( 1 1 2 2] % for producing offspring4) 153.65 138.95 T
3 F
(Thus, after recombination) 135.65 118.95 T
2 F
(NewChrom) 262.89 118.95 T
3 F
( would become:) 320.45 118.95 T
FMENDPAGE
%%EndPage: "24" 25
%%Page: "25" 25
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-25) 513.33 61.29 T
2 12 Q
(NewChrom = [) 135.65 736.95 T
(40.23) 160.84 722.95 T
(13.26) 211.22 722.95 T
(28.95) 261.59 722.95 T
( -9.09; % Mask\0501,:\051 parent1&2) 304.77 722.95 T
(82.06) 160.84 708.95 T
(13.26) 211.22 708.95 T
(28.95) 261.59 708.95 T
( 15.38; % Mask\0502,:\051 parent1&2) 304.77 708.95 T
(-47.50) 153.65 694.95 T
(25.64) 211.22 694.95 T
( 9.09) 261.59 694.95 T
(-2.54; % Mask\0503,:\051 parent3&4) 311.96 694.95 T
(52.43) 160.84 680.95 T
( 25.64) 204.02 680.95 T
( 9.09) 261.59 680.95 T
( 10.65] % Mask\0504,:\051 parent3&4) 304.77 680.95 T
3 F
0.75 (As the number of individuals in the parent population,) 135.65 660.95 P
2 F
1.79 (OldChrom) 405.55 660.95 P
3 F
0.75 (, was odd, the) 463.12 660.95 P
-0.18 (last individual is appended without recombination to) 135.65 646.95 P
2 F
-0.43 (NewChrom) 389.9 646.95 P
3 F
-0.18 ( and the of) 447.47 646.95 P
-0.18 (fspring) 497.67 646.95 P
(returned to the users workspace, thus) 135.65 632.95 T
2 F
(NewChrom =) 135.65 612.95 T
(40.23) 160.84 598.95 T
( 13.26) 204.02 598.95 T
(28.95) 261.59 598.95 T
( -9.09) 304.77 598.95 T
(82.06) 160.84 584.95 T
(13.26) 211.22 584.95 T
(28.95) 261.59 584.95 T
( 15.38) 304.77 584.95 T
(-47.50) 153.65 570.95 T
(25.64) 211.22 570.95 T
( 9.09) 261.59 570.95 T
( -2.54) 304.77 570.95 T
(52.43) 160.84 556.95 T
( 25.64) 204.02 556.95 T
(9.09) 268.79 556.95 T
(10.65) 311.96 556.95 T
(-90.50 -13.46 -25.63) 153.65 542.95 T
( -0.89) 304.77 542.95 T
1 16 Q
(Algorithm) 117.65 520.29 T
3 12 Q
1.99 (Discrete recombination exchanges variable values between the individuals. For) 135.65 502.95 P
2.43 (each variable the parent who contributes its variable value to the of) 135.65 488.95 P
2.43 (fspring is) 484.24 488.95 P
(chosen randomly with equal probability) 135.65 474.95 T
(.) 326.08 474.95 T
0.91 (Discrete recombination can generate the corners of the hypercube de\336ned by the) 135.65 448.95 P
(parents.) 135.65 434.95 T
1 16 Q
(See Also) 117.65 406.29 T
2 12 Q
(recombin) 135.65 388.95 T
3 F
(,) 193.22 388.95 T
2 F
(recint) 199.21 388.95 T
3 F
(,) 242.39 388.95 T
2 F
(reclin) 248.39 388.95 T
3 F
(,) 291.56 388.95 T
2 F
(ranking) 297.56 388.95 T
3 F
(,) 347.93 388.95 T
2 F
(sus) 353.93 388.95 T
3 F
(,) 375.52 388.95 T
2 F
(rws) 381.51 388.95 T
1 16 Q
(Refer) 117.65 366.29 T
(ence) 155.53 366.29 T
3 12 Q
3.9 ([1] H. M) 135.65 348.95 P
3.9 (\237) 185.76 348.95 P
3.9 (hlenbein and D. Schlierkamp-V) 191.76 348.95 P
3.9 (oosen, \322Predictive Models for the) 354.48 348.95 P
0.18 (Breeder Genetic Algorithm: I. Continuous Parameter Optimization\323,) 135.65 334.95 P
0 F
0.18 (Evolutionary) 469.02 334.95 P
(Computation) 135.65 320.95 T
3 F
(, V) 198.29 320.95 T
(ol. 1, No. 1, pp.25-49, 1993.) 211.4 320.95 T
FMENDPAGE
%%EndPage: "25" 26
%%Page: "26" 26
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-26) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(ecint) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Intermediate recombination) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = recint\050OldChrom\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
0.73 (recint) 135.65 588.95 P
3 F
0.3 ( performs intermediate recombination between pairs of individuals in the) 178.82 588.95 P
3.85 (current population,) 135.65 574.95 P
2 F
9.24 (OldChrom) 237.62 574.95 P
3 F
3.85 (, and returns a new population after mating,) 295.18 574.95 P
2 F
(NewChrom) 135.65 560.95 T
3 F
(. Each row of) 193.22 560.95 T
2 F
(OldChrom) 260.82 560.95 T
3 F
( corresponds to one individual.) 318.39 560.95 T
2 F
1.76 (recint) 135.65 534.95 P
3 F
0.73 ( is a function only applicable to populations of real-value variables \050and) 178.82 534.95 P
(not binary or integer\051.) 135.65 520.95 T
1.18 (The pairs are mated in order) 135.65 494.95 P
1.18 (, odd row with the next even row) 276.62 494.95 P
1.18 (. If the number of) 442.66 494.95 P
0.5 (rows in the matrix) 135.65 480.95 P
2 F
1.2 (OldChrom) 228.25 480.95 P
3 F
0.5 ( is odd then the last row is not mated and added at) 285.82 480.95 P
4.19 (the end of) 135.65 466.95 P
2 F
10.05 (NewChrom) 199.16 466.95 P
3 F
4.19 (. The population should therefore be or) 256.73 466.95 P
4.19 (ganised into) 469.16 466.95 P
0.94 (contiguous pairs that require mating. This can be achieved by using the function) 135.65 452.95 P
2 F
0.28 (ranking) 135.65 438.95 P
3 F
0.12 ( to assign a \336tness level to each individual and a selection function \050e.g.) 186.02 438.95 P
2 F
5 (select) 135.65 424.95 P
3 F
2.09 (\051 to select individuals with a probability related to their \336tness in the) 178.82 424.95 P
(current population.) 135.65 410.95 T
2 F
(recint) 135.65 384.95 T
3 F
( is a low-level recombination function normally called by) 178.82 384.95 T
2 F
(recombin) 457.64 384.95 T
3 F
(.) 515.2 384.95 T
1 16 Q
(Example) 117.65 356.29 T
3 12 Q
(Consider the following population with three real-value individuals:) 135.65 338.95 T
2 F
(OldChrom = [) 135.65 318.95 T
(40.23 -17.17) 153.65 304.95 T
( 28.95) 247.2 304.95 T
(15.38; % parent1) 304.77 304.95 T
(82.06) 153.65 290.95 T
( 13.26) 196.82 290.95 T
(13.35) 254.39 290.95 T
(-9.09; % parent2) 304.77 290.95 T
(52.43) 153.65 276.95 T
(25.64) 204.02 276.95 T
(15.20) 254.39 276.95 T
(-2.54] % parent3) 304.77 276.95 T
3 F
(T) 135.65 256.95 T
(o perform intermediate recombination:) 142.14 256.95 T
2 F
(NewChrom = recint\050OldChrom\051) 135.65 236.95 T
3 F
2.57 (New values are produced by adding the scaled dif) 135.65 216.95 P
2.57 (ference between the parent) 395.08 216.95 P
1.05 (values to the \336rst parent \050see) 135.65 202.95 P
0 F
1.05 (Algorithm) 282.51 202.95 P
3 F
1.05 ( subsection\051. An internal table of scaling) 331.15 202.95 P
(factors,) 135.65 188.95 T
2 F
(Alpha) 174.28 188.95 T
3 F
(, is produced, e.g.) 210.26 188.95 T
2 F
(Alpha = [) 135.65 168.95 T
(-0.13 0.50 0.32 0.16; % for offspring1) 153.65 154.95 T
( 1.12 0.54 0.44 1.16] % for offspring2) 153.65 140.95 T
3 F
(Thus, after recombination) 135.65 120.95 T
2 F
(NewChrom) 262.89 120.95 T
3 F
( would become:) 320.45 120.95 T
FMENDPAGE
%%EndPage: "26" 27
%%Page: "27" 27
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-27) 513.33 61.29 T
2 12 Q
(NewChrom = [) 135.65 736.95 T
(34.40) 153.65 722.95 T
( -1.92) 196.82 722.95 T
( 23.86) 247.2 722.95 T
( 11.33; % Alpha\0501,:\051 parent1&2) 297.57 722.95 T
(87.11) 153.65 708.95 T
( -0.59) 196.82 708.95 T
(21.98 -13.04] % Alpha\0502,:\051 parent1&2) 254.39 708.95 T
3 F
0.75 (As the number of individuals in the parent population,) 135.65 688.95 P
2 F
1.79 (OldChrom) 405.55 688.95 P
3 F
0.75 (, was odd, the) 463.12 688.95 P
-0.18 (last individual is appended without recombination to) 135.65 674.95 P
2 F
-0.43 (NewChrom) 389.9 674.95 P
3 F
-0.18 ( and the of) 447.47 674.95 P
-0.18 (fspring) 497.67 674.95 P
(returned to the users workspace, thus:) 135.65 660.95 T
2 F
(NewChrom =) 135.65 640.95 T
(34.40) 153.65 626.95 T
(-1.92) 204.02 626.95 T
(23.86) 254.39 626.95 T
( 11.33) 297.57 626.95 T
(87.11) 153.65 612.95 T
(-0.59) 204.02 612.95 T
(21.98 -13.04) 254.39 612.95 T
(52.43) 153.65 598.95 T
(25.64) 204.02 598.95 T
(15.20) 254.39 598.95 T
(-2.54) 304.77 598.95 T
1 16 Q
(Algorithm) 117.65 576.29 T
3 12 Q
(Intermediate recombination combines parent values using the following rule:) 135.65 558.95 T
2 F
(offspring = parent1 +) 135.65 532.95 T
3 F
(where) 135.65 506.95 T
2 F
(Alpha) 167.95 506.95 T
3 F
( is a scaling factor chosen uniformly at random in the interval) 203.93 506.95 T
2 F
1.08 ([-0.25, 1.25]) 135.65 492.95 P
3 F
0.45 (.) 230.28 492.95 P
2 F
1.08 (recint) 236.73 492.95 P
3 F
0.45 ( produces a new Alpha for each pair of values to be) 279.9 492.95 P
(combined.) 135.65 478.95 T
1.99 (Intermediate recombination can generate any point within a hypercube slightly) 135.65 452.95 P
(lar) 135.65 438.95 T
(ger than that de\336ned by the parents.) 148.09 438.95 T
2.01 (Intermediate recombination is similar to line recombination) 135.65 412.95 P
2 F
4.82 (reclin) 438.51 412.95 P
3 F
2.01 (. Whereas) 481.69 412.95 P
2 F
5.85 (recint) 135.65 398.95 P
3 F
2.44 ( uses a new Alpha factor for each pair of values combined together) 178.82 398.95 P
2.44 (,) 528.65 398.95 P
2 F
(reclin) 135.65 384.95 T
3 F
( uses one) 178.82 384.95 T
2 F
(Alpha) 225.79 384.95 T
3 F
( factor for each pair of parents.) 261.77 384.95 T
1 16 Q
(See Also) 117.65 356.29 T
2 12 Q
(recombin) 135.65 338.95 T
3 F
(,) 193.22 338.95 T
2 F
(recdis) 199.21 338.95 T
3 F
(,) 242.39 338.95 T
2 F
(reclin) 248.39 338.95 T
3 F
(,) 291.56 338.95 T
2 F
(ranking) 297.56 338.95 T
3 F
(,) 347.93 338.95 T
2 F
(sus) 353.93 338.95 T
3 F
(,) 375.52 338.95 T
2 F
(rws) 381.51 338.95 T
1 16 Q
(Refer) 117.65 316.29 T
(ence) 155.53 316.29 T
3 12 Q
3.9 ([1] H. M) 135.65 298.95 P
3.9 (\237) 185.76 298.95 P
3.9 (hlenbein and D. Schlierkamp-V) 191.76 298.95 P
3.9 (oosen, \322Predictive Models for the) 354.48 298.95 P
0.18 (Breeder Genetic Algorithm: I. Continuous Parameter Optimization\323,) 135.65 284.95 P
0 F
0.18 (Evolutionary) 469.02 284.95 P
(Computation) 135.65 270.95 T
3 F
(, V) 198.29 270.95 T
(ol. 1, No. 1, pp.25-49, 1993.) 211.4 270.95 T
293.96 527.96 482.85 541.94 C
2 12 Q
0 X
0 K
(A) 294.96 532.95 T
(l) 302.86 532.95 T
(p) 310.77 532.95 T
(h) 318.67 532.95 T
(a) 326.57 532.95 T
(p) 353.45 532.95 T
(a) 361.35 532.95 T
(r) 369.25 532.95 T
(e) 377.16 532.95 T
(n) 385.06 532.95 T
(t) 392.96 532.95 T
(2) 400.86 532.95 T
(p) 420.64 532.95 T
(a) 428.54 532.95 T
(r) 436.45 532.95 T
(e) 444.35 532.95 T
(n) 452.25 532.95 T
(t) 460.15 532.95 T
(1) 468.05 532.95 T
4 F
(-) 411.06 532.95 T
(\050) 348.35 532.95 T
(\051) 475.86 532.95 T
(\264) 336.77 532.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "27" 28
%%Page: "28" 28
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-28) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(eclin) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Line recombination) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = reclin\050OldChrom\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
1.86 (reclin) 135.65 588.95 P
3 F
0.77 ( performs line recombination between pairs of individuals in the current) 178.82 588.95 P
0.89 (population,) 135.65 574.95 P
2 F
2.15 (OldChrom) 193.85 574.95 P
3 F
0.89 (, and returns a new population after mating,) 251.41 574.95 P
2 F
2.15 (NewChrom) 471.08 574.95 P
3 F
0.89 (.) 528.65 574.95 P
(Each row of) 135.65 560.95 T
2 F
(OldChrom) 197.26 560.95 T
3 F
( corresponds to one individual.) 254.83 560.95 T
2 F
1.9 (reclin) 135.65 534.95 P
3 F
0.79 ( is a function only applicable to populations of real-value variables \050) 178.82 534.95 P
1 F
0.79 (not) 514.99 534.95 P
3 F
(binary or integer\051.) 135.65 520.95 T
1.18 (The pairs are mated in order) 135.65 494.95 P
1.18 (, odd row with the next even row) 276.62 494.95 P
1.18 (. If the number of) 442.66 494.95 P
0.5 (rows in the matrix) 135.65 480.95 P
2 F
1.2 (OldChrom) 228.25 480.95 P
3 F
0.5 ( is odd then the last row is not mated and added at) 285.82 480.95 P
4.19 (the end of) 135.65 466.95 P
2 F
10.05 (NewChrom) 199.16 466.95 P
3 F
4.19 (. The population should therefore be or) 256.73 466.95 P
4.19 (ganised into) 469.16 466.95 P
0.94 (contiguous pairs that require mating. This can be achieved by using the function) 135.65 452.95 P
2 F
0.28 (ranking) 135.65 438.95 P
3 F
0.12 ( to assign a \336tness level to each individual and a selection function \050e.g.) 186.02 438.95 P
2 F
5 (select) 135.65 424.95 P
3 F
2.09 (\051 to select individuals with a probability related to their \336tness in the) 178.82 424.95 P
(current population.) 135.65 410.95 T
2 F
(reclin) 135.65 384.95 T
3 F
( is a low-level recombination function normally called by) 178.82 384.95 T
2 F
(recombin) 457.64 384.95 T
3 F
(.) 515.2 384.95 T
1 16 Q
(Example) 117.65 356.29 T
3 12 Q
(Consider the following population with three real-value individuals:) 135.65 338.95 T
2 F
(OldChrom = [) 135.65 318.95 T
( 40.23 -17.17) 153.65 304.95 T
(28.95) 261.59 304.95 T
(15.38; % parent1) 311.96 304.95 T
( 82.06) 153.65 290.95 T
( 13.26) 204.02 290.95 T
(13.35) 261.59 290.95 T
(-9.09; % parent2) 311.96 290.95 T
( 52.43) 153.65 276.95 T
(25.64) 211.22 276.95 T
(15.20) 261.59 276.95 T
(-2.54] % parent3) 311.96 276.95 T
3 F
(T) 135.65 256.95 T
(o perform line recombination:) 142.14 256.95 T
2 F
(NewChrom = reclin\050OldChrom\051) 135.65 236.95 T
3 F
2.57 (New values are produced by adding the scaled dif) 135.65 216.95 P
2.57 (ference between the parent) 395.08 216.95 P
2.19 (values to the \336rst parent \050see Algorithm\051. An internal table of scaling factors,) 135.65 202.95 P
2 F
(Alpha) 135.65 188.95 T
3 F
(, is produced, e.g.) 171.63 188.95 T
2 F
(Alpha = [) 135.65 168.95 T
(0.78; % for producing offspring1) 153.65 154.95 T
(1.05] % for producing offspring2) 153.65 140.95 T
3 F
(Thus, after recombination NewChrom would become:) 135.65 120.95 T
FMENDPAGE
%%EndPage: "28" 29
%%Page: "29" 29
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-29) 513.33 61.29 T
2 12 Q
(NewChrom = [) 135.65 736.95 T
(72.97) 153.65 722.95 T
( 6.64 16.74) 196.82 722.95 T
(-3.77; % Alpha\0501\051 parent1&2) 290.37 722.95 T
(84.25 14.85 12.54 -10.37] % Alpha\0502\051 parent1&2) 153.65 708.95 T
3 F
0.75 (As the number of individuals in the parent population,) 135.65 688.95 P
2 F
1.79 (OldChrom) 405.55 688.95 P
3 F
0.75 (, was odd, the) 463.12 688.95 P
-0.18 (last individual is appended without recombination to) 135.65 674.95 P
2 F
-0.43 (NewChrom) 389.9 674.95 P
3 F
-0.18 ( and the of) 447.47 674.95 P
-0.18 (fspring) 497.67 674.95 P
(returned to the users workspace, thus:) 135.65 660.95 T
2 F
(NewChrom =) 135.65 640.95 T
(72.97) 153.65 626.95 T
(6.64 16.74) 204.02 626.95 T
( -3.77) 283.18 626.95 T
(84.25 14.85 12.54 -10.37) 153.65 612.95 T
(52.43 25.64 15.20) 153.65 598.95 T
( -2.54) 283.18 598.95 T
1 16 Q
(Algorithm) 117.65 576.29 T
3 12 Q
(Line recombination combines parent values using the following rule:) 135.65 558.95 T
2 F
(offspring = parent1 +) 135.65 532.95 T
3 F
(where) 135.65 506.95 T
2 F
(Alpha) 167.95 506.95 T
3 F
( is a scaling factor chosen uniformly at random in the interval) 203.93 506.95 T
2 F
0.42 ([-0.25, 1.25]) 135.65 492.95 P
3 F
0.17 (.) 229.61 492.95 P
2 F
0.42 (reclin) 235.78 492.95 P
3 F
0.17 ( produces a new Alpha for each pair of parents to be) 278.96 492.95 P
(combined.) 135.65 478.95 T
2.41 (Line recombination can generate any point on a slightly longer line than that) 135.65 452.95 P
(de\336ned by the parents.) 135.65 438.95 T
1.59 (Line recombination is similar to intermediate recombination) 135.65 412.95 P
2 F
3.82 (recint) 438.93 412.95 P
3 F
1.59 (. Whereas) 482.11 412.95 P
2 F
7.91 (reclin) 135.65 398.95 P
3 F
3.29 ( uses one Alpha factor for each pair of parents combined together) 178.82 398.95 P
3.29 (,) 528.65 398.95 P
2 F
(recint) 135.65 384.95 T
3 F
( uses a new) 178.82 384.95 T
2 F
(Alpha) 236.78 384.95 T
3 F
( factor for each pair of values.) 272.76 384.95 T
1 16 Q
(See Also) 117.65 356.29 T
2 12 Q
(recombin) 135.65 338.95 T
3 F
(,) 193.22 338.95 T
2 F
(recdis) 199.21 338.95 T
3 F
(,) 242.39 338.95 T
2 F
(recint) 248.39 338.95 T
3 F
(,) 291.56 338.95 T
2 F
(ranking) 297.56 338.95 T
3 F
(,) 347.93 338.95 T
2 F
(sus) 353.93 338.95 T
3 F
(,) 375.52 338.95 T
2 F
(rws) 381.51 338.95 T
1 16 Q
(Refer) 117.65 316.29 T
(ence) 155.53 316.29 T
3 12 Q
3.9 ([1] H. M) 135.65 298.95 P
3.9 (\237) 185.76 298.95 P
3.9 (hlenbein and D. Schlierkamp-V) 191.76 298.95 P
3.9 (oosen, \322Predictive Models for the) 354.48 298.95 P
0.18 (Breeder Genetic Algorithm: I. Continuous Parameter Optimization\323,) 135.65 284.95 P
0 F
0.18 (Evolutionary) 469.02 284.95 P
(Computation) 135.65 270.95 T
3 F
(, V) 198.29 270.95 T
(ol. 1, No. 1, pp.25-49, 1993.) 211.4 270.95 T
293.96 527.96 482.85 541.94 C
2 12 Q
0 X
0 K
(A) 294.96 532.95 T
(l) 302.86 532.95 T
(p) 310.77 532.95 T
(h) 318.67 532.95 T
(a) 326.57 532.95 T
(p) 353.45 532.95 T
(a) 361.35 532.95 T
(r) 369.25 532.95 T
(e) 377.16 532.95 T
(n) 385.06 532.95 T
(t) 392.96 532.95 T
(2) 400.86 532.95 T
(p) 420.64 532.95 T
(a) 428.54 532.95 T
(r) 436.45 532.95 T
(e) 444.35 532.95 T
(n) 452.25 532.95 T
(t) 460.15 532.95 T
(1) 468.05 532.95 T
4 F
(-) 411.06 532.95 T
(\050) 348.35 532.95 T
(\051) 475.86 532.95 T
(\264) 336.77 532.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "29" 30
%%Page: "30" 30
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-30) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(ecmut) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Line recombination with mutation features) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = recmut\050OldChrom, FieldDR\051) 135.65 628.95 T
(NewChrom = recmut\050OldChrom, FieldDR, MutOpt\051) 135.65 608.95 T
1 16 Q
(Description) 117.65 586.29 T
2 12 Q
5.35 (recmut) 135.65 568.95 P
3 F
2.23 ( performs line recombination with mutation features between pairs of) 178.82 568.95 P
1.26 (individuals in the current population,) 135.65 554.95 P
2 F
3.03 (OldChrom) 322.53 554.95 P
3 F
1.26 (, and returns a new population) 380.1 554.95 P
(after mating,) 135.65 540.95 T
2 F
(NewChrom) 199.93 540.95 T
3 F
(. Each row of) 257.5 540.95 T
2 F
(OldChrom) 325.11 540.95 T
3 F
( corresponds to one individual.) 382.68 540.95 T
2 F
1.31 (FieldDR) 135.65 514.95 P
3 F
0.55 ( is a matrix containing the boundaries of each variable of an individual) 186.02 514.95 P
(\050see) 135.65 500.95 T
2 F
(crtrp) 157.96 500.95 T
3 F
(\051.) 193.94 500.95 T
2 F
(MutOpt) 135.65 474.95 T
3 F
( is an optional vector with a maximum of 2 parameters:) 178.82 474.95 T
2 F
(MutOpt\0501\051) 135.65 454.95 T
3 F
(:) 200.41 454.95 T
(scalar containing the recombination rate in the range) 171.65 440.95 T
2 F
([0, 1].) 426.78 440.95 T
3 F
(If omitted or) 171.65 426.95 T
2 F
(NaN) 235.27 426.95 T
3 F
(,) 256.86 426.95 T
2 F
(MutOpt\0501\051 = 1) 262.86 426.95 T
3 F
( is assumed.) 356.41 426.95 T
2 F
(MutOpt\0502\051) 135.65 406.95 T
3 F
(:) 200.41 406.95 T
-0.23 (scalar containing a value in the range [0, 1] for shrinking the recombination) 171.65 392.95 P
(range.) 171.65 378.95 T
(If omitted or) 171.65 364.95 T
2 F
(NaN) 235.27 364.95 T
3 F
(,) 256.86 364.95 T
2 F
(MutOpt\0502\051 = 1) 262.86 364.95 T
3 F
( is assumed \050no shrinking\051.) 356.41 364.95 T
2 F
1.76 (recmut) 135.65 344.95 P
3 F
0.73 ( is a function only applicable to populations of real-value variables \050and) 178.82 344.95 P
(not binary or integer\051.) 135.65 330.95 T
1.18 (The pairs are mated in order) 135.65 304.95 P
1.18 (, odd row with the next even row) 276.62 304.95 P
1.18 (. If the number of) 442.66 304.95 P
0.5 (rows in the matrix) 135.65 290.95 P
2 F
1.2 (OldChrom) 228.25 290.95 P
3 F
0.5 ( is odd then the last row is not mated and added at) 285.82 290.95 P
4.19 (the end of) 135.65 276.95 P
2 F
10.05 (NewChrom) 199.16 276.95 P
3 F
4.19 (. The population should therefore be or) 256.73 276.95 P
4.19 (ganised into) 469.16 276.95 P
0.94 (contiguous pairs that require mating. This can be achieved by using the function) 135.65 262.95 P
2 F
-0.51 (ranking) 135.65 248.95 P
3 F
-0.21 ( to assign a \336tness level to each individual and a selection function \050) 186.02 248.95 P
2 F
-0.51 (sus) 510.06 248.95 P
3 F
-0.24 (or) 135.65 234.95 P
2 F
-0.57 (rws) 148.4 234.95 P
3 F
-0.24 (\051 to select individuals with a probability related to their \336tness in the current) 169.99 234.95 P
(population.) 135.65 220.95 T
2 F
0.89 (recmut) 135.65 194.95 P
3 F
0.37 ( uses features of the mutation operator of the Breeder Genetic Algorithm) 178.82 194.95 P
2.31 (\050see) 135.65 180.95 P
2 F
5.53 (mutbga) 160.26 180.95 P
3 F
2.31 (\051. Therefore, the calling syntax of this recombination function is) 203.44 180.95 P
(identical to this of the mutation function) 135.65 166.95 T
2 F
(mutbga) 331.87 166.95 T
3 F
(.) 375.05 166.95 T
2 F
(recmut) 135.65 140.95 T
3 F
( is a low-level recombination function normally called by) 178.82 140.95 T
2 F
(mutate) 457.64 140.95 T
3 F
(.) 500.81 140.95 T
FMENDPAGE
%%EndPage: "30" 31
%%Page: "31" 31
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-31) 513.33 61.29 T
1 16 Q
(Example) 117.65 734.29 T
3 12 Q
(Consider the following population with four real-valued individuals:) 135.65 716.95 T
2 F
(OldChrom = [) 135.65 696.95 T
(40.2381 -17.1766) 160.84 682.95 T
( 28.9530) 283.18 682.95 T
(15.3883;  % parent1) 355.14 682.95 T
(82.0642) 160.84 668.95 T
(13.2639) 225.61 668.95 T
(13.3596) 290.37 668.95 T
(-9.0916;  % parent2) 355.14 668.95 T
(52.4396) 160.84 654.95 T
(25.6410) 225.61 654.95 T
(15.2014) 290.37 654.95 T
(-2.5435;  % parent3) 355.14 654.95 T
(-47.5381) 153.65 640.95 T
(49.1963) 225.61 640.95 T
(9.0954) 297.57 640.95 T
(10.6521]  % parent4) 355.14 640.95 T
3 F
(The boundaries are de\336ned as:) 135.65 620.95 T
2 F
(FieldDR = [) 135.65 600.95 T
(-100 -50 -30 -20;) 153.65 586.95 T
( 100) 153.65 572.95 T
(50) 196.82 572.95 T
( 30) 218.41 572.95 T
(20]) 254.39 572.95 T
3 F
(T) 135.65 552.95 T
(o perform line recombination with mutation features:) 142.14 552.95 T
2 F
(NewChrom = recmut\050OldChrom, FieldDR\051) 135.65 532.95 T
4.89 (recmut) 135.65 512.95 P
3 F
2.04 ( produces an internal mask table,) 178.82 512.95 P
2 F
4.89 (RecMx) 351.94 512.95 P
3 F
2.04 (, determining which pairs of) 387.92 512.95 P
2.56 (parents to recombine \050here recombine all pairs\051 and the sign for adding) 135.65 498.95 P
2 F
6.14 (the) 510.06 498.95 P
3 F
(recombination step) 135.65 484.95 T
(\050see Algorithm\051, e.g.) 234.45 484.95 T
2 F
(RecMx = [) 135.65 464.95 T
( 1) 153.65 450.95 T
(-1) 175.24 450.95 T
(-1) 196.82 450.95 T
(-1; % for producing offspring1 & 2) 218.41 450.95 T
(-1) 153.65 436.95 T
(-1) 175.24 436.95 T
(-1) 196.82 436.95 T
(-1] % for producing offspring3 & 4) 218.41 436.95 T
3 F
6.59 (T) 135.65 416.95 P
6.59 (wo further internal tables,) 142.14 416.95 P
2 F
15.81 (delta) 295.39 416.95 P
3 F
6.59 ( and) 331.37 416.95 P
2 F
15.81 (Diff) 367.86 416.95 P
3 F
6.59 (, specify the normalized) 396.64 416.95 P
(recombination step size, e.g.) 135.65 402.95 T
2 F
(delta = [) 135.65 382.95 T
(0.1250) 153.65 368.95 T
(0.1250 0.1250 0.1250; % for offspring1 & 2) 204.02 368.95 T
(0.0005 0.0005 0.0005 0.0005] % for offspring3 & 4) 153.65 354.95 T
(Diff = [) 135.65 334.95 T
-0.68 (1.3937) 168.04 320.95 P
-0.68 (1.0143) 218.41 320.95 P
-0.68 (-0.5196) 268.79 320.95 P
-0.68 (-0.8157; % for offspring1 & 2) 326.35 320.95 P
-0.68 (-10.5712) 153.65 306.95 P
-0.68 (2.4906) 218.41 306.95 P
-0.68 (-0.6456) 268.79 306.95 P
-0.68 (1.3952] % for offspring3 & 4) 333.55 306.95 P
3 F
(Thus, after recombination NewChrom becomes:) 135.65 286.95 T
2 F
(NewChrom =) 135.65 266.95 T
(57.6637) 160.84 252.95 T
(-23.5177) 218.41 252.95 T
(30.0000) 290.37 252.95 T
(17.4281) 355.14 252.95 T
(64.6386) 160.84 238.95 T
(19.6050) 225.61 238.95 T
(11.4106) 290.37 238.95 T
(-11.1314) 347.94 238.95 T
(52.9719) 160.84 224.95 T
(25.5783) 225.61 224.95 T
(15.2112) 290.37 224.95 T
(-2.5576) 355.14 224.95 T
(-48.0704) 153.65 210.95 T
(49.2590) 225.61 210.95 T
(9.0856) 297.57 210.95 T
(10.6662) 355.14 210.95 T
1 16 Q
(Algorithm) 117.65 188.29 T
3 12 Q
(The of) 135.65 170.95 T
(fsprings of a pair of two parents are computed as follows:) 167.07 170.95 T
(of) 135.65 150.95 T
(fspring1=parent1 +) 145.42 150.95 T
(of) 135.65 130.95 T
(fspring2=parent2 +) 145.42 130.95 T
240.89 145.96 508.85 159.94 C
2 12 Q
0 X
0 K
(R) 241.89 150.95 T
(e) 249.79 150.95 T
(c) 257.69 150.95 T
(M) 265.6 150.95 T
(x) 273.5 150.95 T
(r) 293.28 150.95 T
(a) 301.18 150.95 T
(n) 309.08 150.95 T
(g) 316.98 150.95 T
(e) 324.89 150.95 T
(M) 344.67 150.95 T
(u) 352.57 150.95 T
(t) 360.47 150.95 T
(O) 368.37 150.95 T
(p) 376.27 150.95 T
(t) 384.18 150.95 T
(2) 399.18 150.95 T
4 F
(\050) 394.08 150.95 T
(\051) 406.98 150.95 T
2 F
(d) 425.56 150.95 T
(e) 433.46 150.95 T
(l) 441.36 150.95 T
(t) 449.27 150.95 T
(a) 457.17 150.95 T
4 F
(\264) 335.08 150.95 T
(\264) 415.98 150.95 T
(\264) 283.69 150.95 T
2 F
(D) 476.95 150.95 T
(i) 484.85 150.95 T
(f) 492.75 150.95 T
(f) 500.65 150.95 T
4 F
(\264) 467.36 150.95 T
-8.35 24.95 603.65 816.95 C
240.89 125.96 529.6 139.94 C
2 12 Q
0 X
0 K
(R) 241.89 130.95 T
(e) 249.79 130.95 T
(c) 257.69 130.95 T
(M) 265.6 130.95 T
(x) 273.5 130.95 T
(r) 293.28 130.95 T
(a) 301.18 130.95 T
(n) 309.08 130.95 T
(g) 316.98 130.95 T
(e) 324.89 130.95 T
(M) 344.67 130.95 T
(u) 352.57 130.95 T
(t) 360.47 130.95 T
(O) 368.37 130.95 T
(p) 376.27 130.95 T
(t) 384.18 130.95 T
(2) 399.18 130.95 T
4 F
(\050) 394.08 130.95 T
(\051) 406.98 130.95 T
2 F
(d) 425.56 130.95 T
(e) 433.46 130.95 T
(l) 441.36 130.95 T
(t) 449.27 130.95 T
(a) 457.17 130.95 T
4 F
(\264) 335.08 130.95 T
(\264) 415.98 130.95 T
(\264) 283.69 130.95 T
2 F
(D) 491.1 130.95 T
(i) 499 130.95 T
(f) 506.9 130.95 T
(f) 514.8 130.95 T
4 F
(-) 484.05 130.95 T
(\050) 478.95 130.95 T
(\051) 522.6 130.95 T
(\264) 467.36 130.95 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "31" 32
%%Page: "32" 32
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-32) 513.33 61.29 T
2 12 Q
(RecMx) 135.65 736.95 T
3 F
(=) 180.62 736.95 T
( with probability) 202.43 736.95 T
2 F
(MutOpt\0501\051) 285.39 736.95 T
3 F
(, \050- with probability 0.9\051) 350.15 736.95 T
(else 0) 171.65 722.95 T
2 F
(range =) 135.65 702.95 T
3 F
( domain of variable \050search interval de\336ned by) 228.79 702.95 T
2 F
(FieldDR) 455.94 702.95 T
3 F
(\051.) 506.32 702.95 T
2 F
(delta =) 135.65 669.03 T
3 F
(,) 237.45 669.03 T
( with probability 1/m, else 0, m = 20.) 281.05 669.03 T
0.13 (The recombination operator) 135.65 600.85 P
2 F
0.31 (recmut) 272.93 600.85 P
3 F
0.13 ( generates of) 316.11 600.85 P
0.13 (fspring in a direction de\336ned by) 377.43 600.85 P
0.02 (the parents \050line recombination\051. It tests more often outside the area de\336ned by the) 135.65 586.85 P
1.11 (parents and in the direction of parent1. The point for the of) 135.65 572.85 P
1.11 (fspring is de\336ned by) 430.05 572.85 P
-0.18 (features of the mutation operator) 135.65 558.85 P
-0.18 (. The probability of small step sizes is greater than) 291.46 558.85 P
(that of bigger steps \050see) 135.65 544.85 T
2 F
(mutbga) 252.56 544.85 T
3 F
(\051.) 295.74 544.85 T
1 16 Q
(See Also) 117.65 516.18 T
2 12 Q
(mutate) 135.65 498.85 T
3 F
(,) 178.82 498.85 T
2 F
(mutbga) 184.82 498.85 T
3 F
(,) 228 498.85 T
2 F
(reclin) 233.99 498.85 T
1 16 Q
(Refer) 117.65 476.18 T
(ence) 155.53 476.18 T
3 12 Q
0.79 ([1] H. M) 135.65 458.85 P
0.79 (\237) 179.52 458.85 P
0.79 (hlenbein, \322The Breeder Genetic Algorithm - a provable optimal search) 185.52 458.85 P
6.19 (algorithm and its application\323,) 135.65 444.85 P
0 F
6.19 (IEE Colloquium, Applications of Genetic) 309.33 444.85 P
(Algorithms) 135.65 430.85 T
3 F
(, Digest No. 94/067, London, 15) 188.96 430.85 T
352.31 434.56 344.54 434.56 2 L
V
0.49 H
0 Z
N
3 10 Q
(th) 344.54 435.65 T
3 12 Q
( March 1994.) 352.31 430.85 T
3.9 ([2] H. M) 135.65 404.85 P
3.9 (\237) 185.76 404.85 P
3.9 (hlenbein and D. Schlierkamp-V) 191.76 404.85 P
3.9 (oosen, \322Predictive Models for the) 354.48 404.85 P
0.18 (Breeder Genetic Algorithm: I. Continuous Parameter Optimization\323,) 135.65 390.85 P
0 F
0.18 (Evolutionary) 469.02 390.85 P
(Computation) 135.65 376.85 T
3 F
(, V) 198.29 376.85 T
(ol. 1, No. 1, pp.25-49, 1993.) 211.4 376.85 T
187.39 733.43 202.43 745.99 C
3 12 Q
0 X
0 K
(1) 195.43 736.95 T
4 F
(\261) 188.39 736.95 T
-8.35 24.95 603.65 816.95 C
193.22 699.35 228.79 712.13 C
3 12 Q
0 X
0 K
(0) 194.22 702.95 T
(.) 200.21 702.95 T
(5) 203.21 702.95 T
4 F
(\264) 212.21 702.95 T
-8.35 24.95 603.65 816.95 C
189.02 651.79 237.44 690.95 C
4 12 Q
0 X
0 K
(a) 211.43 669.03 T
0 9 Q
(i) 219.46 664.38 T
3 12 Q
(2) 222.67 669.03 T
0 9 Q
(i) 233.95 675.06 T
4 F
(-) 228.67 675.06 T
0 F
(i) 191.26 654.74 T
3 F
(0) 204.7 654.74 T
4 F
(=) 196.76 654.74 T
0 F
(m) 190.02 683.81 T
3 F
(1) 205.94 683.81 T
4 F
(-) 198.76 683.81 T
4 18 Q
(\345) 193.81 665.83 T
-8.35 24.95 603.65 816.95 C
243.44 661.53 281.04 678.21 C
4 12 Q
0 X
0 K
(a) 244.69 669.03 T
0 9 Q
(i) 252.72 664.38 T
3 12 Q
(1) 273.8 669.03 T
4 F
(=) 261.22 669.03 T
-8.35 24.95 603.65 816.95 C
135.65 616.85 322.93 643.79 C
2 12 Q
0 X
0 K
(D) 136.65 627.72 T
(i) 144.55 627.72 T
(f) 152.45 627.72 T
(f) 160.35 627.72 T
(p) 193.13 634.8 T
(a) 201.04 634.8 T
(r) 208.94 634.8 T
(e) 216.84 634.8 T
(n) 224.74 634.8 T
(t) 232.64 634.8 T
(2) 240.55 634.8 T
(p) 260.33 634.8 T
(a) 268.23 634.8 T
(r) 276.13 634.8 T
(e) 284.03 634.8 T
(n) 291.93 634.8 T
(t) 299.84 634.8 T
(1) 307.74 634.8 T
4 F
(-) 250.74 634.8 T
2 F
(p) 193.13 620.33 T
(a) 201.04 620.33 T
(r) 208.94 620.33 T
(e) 216.84 620.33 T
(n) 224.74 620.33 T
(t) 232.64 620.33 T
(1) 240.55 620.33 T
(p) 260.33 620.33 T
(a) 268.23 620.33 T
(r) 276.13 620.33 T
(e) 284.03 620.33 T
(n) 291.93 620.33 T
(t) 299.84 620.33 T
(2) 307.74 620.33 T
4 F
(-) 250.74 620.33 T
(=) 173.55 627.72 T
188.13 618.85 188.13 628.32 2 L
0.33 H
0 Z
N
190.13 618.85 190.13 628.32 2 L
N
318.93 618.85 318.93 628.32 2 L
N
316.93 618.85 316.93 628.32 2 L
N
187.13 630.32 320.68 630.32 2 L
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "32" 33
%%Page: "33" 33
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-33) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(ecombin) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Recombination of individuals \050high-level function\051.) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = recombin\050REC_F, Chrom\051) 135.65 628.95 T
(NewChrom = recombin\050REC_F, Chrom, RecOpt\051) 135.65 608.95 T
(NewChrom = recombin\050REC_F, Chrom, RecOpt, SUBPOP\051) 135.65 588.95 T
1 16 Q
(Description) 117.65 566.29 T
2 12 Q
4.99 (recombin) 135.65 548.95 P
3 F
2.08 ( performs recombination of individuals from a population,) 193.22 548.95 P
2 F
4.99 (Chrom) 492.67 548.95 P
3 F
2.08 (,) 528.65 548.95 P
1.73 (and returns the recombined individuals in a new population,) 135.65 534.95 P
2 F
4.16 (NewChrom) 442.38 534.95 P
3 F
1.73 (. Each) 499.94 534.95 P
(row of) 135.65 520.95 T
2 F
(Chrom) 170.29 520.95 T
3 F
( and) 206.26 520.95 T
2 F
(NewChrom) 229.58 520.95 T
3 F
( corresponds to one individual.) 287.15 520.95 T
2 F
0.52 (REC_F) 135.65 494.95 P
3 F
0.22 ( is a string that contains the name of the low-level recombination function,) 171.63 494.95 P
(e.g.) 135.65 480.95 T
2 F
(recdis) 155.96 480.95 T
3 F
( or) 199.14 480.95 T
2 F
(xovsp) 215.13 480.95 T
3 F
(.) 251.11 480.95 T
2 F
4.92 (RecOpt) 135.65 454.95 P
3 F
2.05 ( is an optional parameter specifying the crossover rate. If) 178.82 454.95 P
2 F
4.92 (RecOpt) 475.42 454.95 P
3 F
2.05 ( is) 518.6 454.95 P
(omitted or) 135.65 440.95 T
2 F
(NaN,) 188.29 440.95 T
3 F
( a default value is assumed.) 217.07 440.95 T
2 F
0.01 (SUBPOP) 135.65 414.95 P
3 F
0.01 ( is an optional parameter and determines the number of subpopulations in) 178.82 414.95 P
2 F
8.57 (Chrom) 135.65 400.95 P
3 F
3.57 (. If) 171.63 400.95 P
2 F
8.57 (SUBPOP) 195.75 400.95 P
3 F
3.57 ( is omitted or) 238.93 400.95 P
2 F
8.57 (NaN,) 319.85 400.95 P
8.57 (SUBPOP = 1) 355.2 400.95 P
3 F
3.57 ( is assumed. All) 444.31 400.95 P
(subpopulations in) 135.65 386.95 T
2 F
(Chrom) 223.61 386.95 T
3 F
( must have the same size.) 259.59 386.95 T
1 16 Q
(Example) 117.65 358.29 T
3 12 Q
( For examples see) 135.65 340.95 T
2 F
(recdis) 224.91 340.95 T
3 F
(,) 268.09 340.95 T
2 F
(recint) 274.09 340.95 T
3 F
(,) 317.26 340.95 T
2 F
(reclin) 323.26 340.95 T
3 F
(,) 366.44 340.95 T
2 F
(xovsp) 372.43 340.95 T
3 F
(,) 408.41 340.95 T
2 F
(xovdp) 414.41 340.95 T
3 F
( and) 450.39 340.95 T
2 F
(xovmp) 473.71 340.95 T
3 F
(.) 509.69 340.95 T
1 16 Q
(Algorithm) 117.65 318.29 T
2 12 Q
0.22 (recombin) 135.65 300.95 P
3 F
0.09 ( checks the consistency of the input parameters and calls the low-level) 193.22 300.95 P
-0.04 (recombination function. If) 135.65 286.95 P
2 F
-0.08 (recombin) 264.79 286.95 P
3 F
-0.04 ( is called with more than one subpopulation) 322.35 286.95 P
6.44 (then the low-level recombination function is called separately for each) 135.65 272.95 P
(subpopulation.) 135.65 258.95 T
1 16 Q
(See Also) 117.65 236.29 T
2 12 Q
(recdis) 135.65 218.95 T
3 F
(,) 178.82 218.95 T
2 F
(recint) 184.82 218.95 T
3 F
(,) 228 218.95 T
2 F
(reclin) 233.99 218.95 T
3 F
(,) 277.17 218.95 T
2 F
(xovsp) 283.17 218.95 T
3 F
(,) 319.15 218.95 T
2 F
(xovdp) 325.14 218.95 T
3 F
(,) 361.12 218.95 T
2 F
(xovsh) 367.12 218.95 T
3 F
(,) 403.1 218.95 T
2 F
(mutate) 409.1 218.95 T
3 F
(,) 452.27 218.95 T
2 F
(select) 458.27 218.95 T
FMENDPAGE
%%EndPage: "33" 34
%%Page: "34" 34
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-34) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(eins) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Reinsertion of of) 135.65 674.95 T
(fspring in the population.) 216.71 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(Chrom = reins\050Chrom, SelCh\051) 135.65 628.95 T
(Chrom = reins\050Chrom, SelCh, SUBPOP\051) 135.65 608.95 T
(Chrom = reins\050Chrom, SelCh, SUBPOP, InsOpt, ObjVCh\051) 135.65 588.95 T
([Chrom, ObjVCh]= reins\050Chrom, SelCh, SUBPOP, InsOpt,) 135.65 568.95 T
(ObjVCh, ObjVSel\051) 153.65 554.95 T
1 16 Q
(Description) 117.65 532.29 T
2 12 Q
7.41 (reins) 135.65 514.95 P
3 F
3.09 ( performs insertion of of) 171.63 514.95 P
3.09 (fspring into the current population, replacing) 301.02 514.95 P
1.7 (parents with of) 135.65 500.95 P
1.7 (fspring and returning the resulting population. The of) 210.79 500.95 P
1.7 (fspring are) 478.33 500.95 P
0.23 (contained in the matrix) 135.65 486.95 P
2 F
0.56 (SelCh) 250.51 486.95 P
3 F
0.23 ( and the parents in the matrix) 286.49 486.95 P
2 F
0.56 (Chrom) 431.02 486.95 P
3 F
0.23 (. Each row in) 467 486.95 P
2 F
(Chrom) 135.65 472.95 T
3 F
( and) 171.63 472.95 T
2 F
(Selch) 194.94 472.95 T
3 F
( corresponds to one individual.) 230.92 472.95 T
2 F
2.19 (SUBPOP) 135.65 446.95 P
3 F
0.91 ( is an optional parameter and indicates the number of subpopulations in) 178.82 446.95 P
2 F
-0.32 (Chrom) 135.65 432.95 P
3 F
-0.13 ( and) 171.63 432.95 P
2 F
-0.32 (SelCh) 194.68 432.95 P
3 F
-0.13 (. If) 230.66 432.95 P
2 F
-0.32 (SUBPOP) 247.37 432.95 P
3 F
-0.13 ( is omitted or) 290.55 432.95 P
2 F
-0.32 (NaN) 356.65 432.95 P
3 F
-0.13 (,) 378.24 432.95 P
2 F
-0.32 (SUBPOP = 1) 384.1 432.95 P
3 F
-0.13 ( is assumed. All) 455.42 432.95 P
(subpopulations in) 135.65 418.95 T
2 F
(Chrom) 223.61 418.95 T
3 F
( and) 259.59 418.95 T
2 F
(SelCh) 282.9 418.95 T
3 F
( each must have the same size.) 318.88 418.95 T
2 F
(InsOpt) 135.65 392.95 T
3 F
( is an optional vector with a maximum of 2 parameters:) 178.82 392.95 T
2 F
(InsOpt\0501\051) 135.65 372.95 T
3 F
(:) 200.41 372.95 T
(scalar indicating the selection method for replacing parents with of) 171.65 358.95 T
(fspring:) 492.2 358.95 T
(0 - uniform selection, of) 171.65 344.95 T
(fspring replace parents uniformly at random) 287.68 344.95 T
(1 - \336tness-based selection, of) 171.65 330.95 T
(fspring replace least \336t parents) 311 330.95 T
(If omitted or) 171.65 316.95 T
2 F
(NaN) 235.27 316.95 T
3 F
(,) 256.86 316.95 T
2 F
(InsOpt\0501\051 = 0) 262.86 316.95 T
3 F
( is assumed) 356.41 316.95 T
2 F
(InsOpt\0502\051) 135.65 296.95 T
3 F
(:) 200.41 296.95 T
0.2 (scalar containing the rate of reinsertion of of) 171.65 282.95 P
0.2 (fspring per subpopulation as a) 386.3 282.95 P
(fraction of subpopulation size in the range) 171.65 268.95 T
2 F
([0, 1]) 377.17 268.95 T
3 F
(.) 420.34 268.95 T
(If omitted or) 171.65 254.95 T
2 F
(NaN) 235.27 254.95 T
3 F
(,) 256.86 254.95 T
2 F
(InsOpt\0502\051 = 1.0) 262.86 254.95 T
3 F
( is assumed.) 370.8 254.95 T
(If) 171.65 240.95 T
2 F
(INSR = 0) 182.63 240.95 T
3 F
( no insertion takes place.) 240.2 240.95 T
0.41 (If) 171.65 226.95 P
2 F
0.97 (INSR) 183.04 226.95 P
3 F
0.41 ( is not 1.0) 211.82 226.95 P
2 F
0.97 (ObjVSel) 263.75 226.95 P
3 F
0.41 ( is needed for selecting the best of) 314.12 226.95 P
0.41 (fspring for) 480.28 226.95 P
(insertion \050truncation selection between of) 171.65 212.95 T
(fspring\051.) 370.62 212.95 T
(If) 135.65 192.95 T
2 F
(InsOpt) 146.63 192.95 T
3 F
( is omitted or) 189.81 192.95 T
2 F
(NaN) 256.45 192.95 T
3 F
(, then the default values are assumed.) 278.03 192.95 T
2 F
6.7 (ObjVCh) 135.65 166.95 P
3 F
2.79 ( is an optional column vector containing the objective values of the) 178.82 166.95 P
(individuals in) 135.65 152.95 T
2 F
(Chrom) 204.29 152.95 T
3 F
(.) 240.27 152.95 T
2 F
(ObjVCh) 246.26 152.95 T
3 F
( is needed for \336tness-based reinsertion.) 289.44 152.95 T
2 F
5.13 (ObjVSel) 135.65 126.95 P
3 F
2.14 ( is an optional column vector containing the objective values of the) 186.02 126.95 P
0.53 (individuals in) 135.65 112.95 P
2 F
1.28 (SelCh) 205.35 112.95 P
3 F
0.53 (.) 241.33 112.95 P
2 F
1.28 (ObjVSel) 247.87 112.95 P
3 F
0.53 ( is required if the number of of) 298.24 112.95 P
0.53 (fspring is greater) 449.31 112.95 P
FMENDPAGE
%%EndPage: "34" 35
%%Page: "35" 35
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-35) 513.33 61.29 T
3 12 Q
1.91 (than the number of of) 135.65 736.95 P
1.91 (fspring to be reinserted into the population. In this case,) 246.99 736.95 P
(of) 135.65 722.95 T
(fspring are selected for reinsertion according to their \336tness.) 145.42 722.95 T
2.6 (If) 135.65 696.95 P
2 F
6.24 (ObjVCh) 149.23 696.95 P
3 F
2.6 ( is output parameter) 192.41 696.95 P
2.6 (,) 295.33 696.95 P
2 F
6.24 (ObjVCh) 303.93 696.95 P
3 F
2.6 ( and) 347.11 696.95 P
2 F
6.24 (ObjVSel) 375.62 696.95 P
3 F
2.6 ( are needed as input) 425.99 696.95 P
0.25 (parameters. The objective values are then copied, according to the insertion of the) 135.65 682.95 P
4.68 (of) 135.65 668.95 P
4.68 (fspring, saving the recomputation of the objective values for the whole) 145.42 668.95 P
(population.) 135.65 654.95 T
1 16 Q
(Example) 117.65 626.29 T
3 12 Q
2.57 (Consider a population of 8 parents,) 135.65 608.95 P
2 F
6.16 (Chrom) 322.6 608.95 P
3 F
2.57 (, and a population of 6 of) 358.58 608.95 P
2.57 (fspring,) 494.67 608.95 P
2 F
(SelCh) 135.65 594.95 T
3 F
(:) 171.63 594.95 T
2 F
(Chrom = [1; 2; 3; 4; 5; 6; 7; 8]) 135.65 574.95 T
(SelCh = [11; 12; 13; 14; 15; 16]) 135.65 560.95 T
3 F
(Insert all of) 135.65 540.95 T
(fspring in the population:) 190.72 540.95 T
2 F
(Chrom = reins\050Chrom, SelCh\051) 135.65 520.95 T
3 F
(Thus, a new population) 135.65 500.95 T
2 F
(Chrom) 251.24 500.95 T
3 F
( is produced, e.g.:) 287.22 500.95 T
2 F
(Chrom =) 135.65 480.95 T
(12) 153.65 466.95 T
(11) 153.65 452.95 T
(15) 153.65 438.95 T
(16) 153.65 424.95 T
( 5) 153.65 410.95 T
(13) 153.65 396.95 T
(14) 153.65 382.95 T
( 8) 153.65 368.95 T
3 F
2.5 (Consider the following) 135.65 348.95 P
2 F
6.01 (ObjVCh) 256.76 348.95 P
3 F
2.5 ( vector for the parent population) 299.94 348.95 P
2 F
6.01 (Chrom) 472.85 348.95 P
3 F
2.5 ( and) 508.83 348.95 P
2 F
(ObjVSel) 135.65 334.95 T
3 F
( for the of) 186.02 334.95 T
(fspring,) 233.43 334.95 T
2 F
(SelCh) 273.4 334.95 T
3 F
(:) 309.39 334.95 T
2 F
(ObjVCh = [21; 22; 23; 24; 25; 26; 27; 28];) 135.65 314.95 T
(ObjVSel= [31; 32; 33; 34; 35; 36]) 135.65 300.95 T
3 F
(Insert all of) 135.65 280.95 T
(fspring \336tness-based, i.e. replace least \336t parents:) 190.72 280.95 T
2 F
(Chrom = reins\050Chrom, SelCh, 1, 1, ObjVCh\051) 135.65 260.95 T
(Chrom =) 135.65 240.95 T
( 1) 153.65 226.95 T
( 2) 153.65 212.95 T
(16) 153.65 198.95 T
(15) 153.65 184.95 T
(14) 153.65 170.95 T
(13) 153.65 156.95 T
(12) 153.65 142.95 T
(11) 153.65 128.95 T
FMENDPAGE
%%EndPage: "35" 36
%%Page: "36" 36
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-36) 513.33 61.29 T
3 12 Q
0.56 (Insert 50% of the of) 135.65 736.95 P
0.56 (fspring \336tness-based and copy the objective values according) 233.6 736.95 P
(the insertion of of) 135.65 722.95 T
(fspring:) 221.04 722.95 T
2 F
([Chrom, ObjVCh] = reins\050Chrom, SelCh, 1, [1 0.5],...) 135.65 702.95 T
(ObjVCh, ObjVSel\051) 153.65 688.95 T
(Chrom =) 135.65 668.95 T
( 1) 153.65 654.95 T
( 2) 153.65 640.95 T
( 3) 153.65 626.95 T
( 4) 153.65 612.95 T
( 5) 153.65 598.95 T
(13) 153.65 584.95 T
(12) 153.65 570.95 T
(11) 153.65 556.95 T
(ObjVCh =) 135.65 536.95 T
(21) 153.65 522.95 T
(22) 153.65 508.95 T
(23) 153.65 494.95 T
(24) 153.65 480.95 T
(25) 153.65 466.95 T
(33) 153.65 452.95 T
(32) 153.65 438.95 T
(31) 153.65 424.95 T
3 F
0.4 (Consider Chrom and SelCh consist of 2 subpopulations. Insert all of) 135.65 404.95 P
0.4 (fspring in the) 466.89 404.95 P
(appropriate subpopulations:) 135.65 390.95 T
2 F
(Chrom = reins\050Chrom, SelCh, 2\051) 135.65 370.95 T
(Chrom =) 135.65 350.95 T
(12) 153.65 336.95 T
( 2) 153.65 322.95 T
(13) 153.65 308.95 T
(11) 153.65 294.95 T
(14) 153.65 280.95 T
( 6) 153.65 266.95 T
(15) 153.65 252.95 T
(16) 153.65 238.95 T
1 16 Q
(See Also) 117.65 216.29 T
2 12 Q
(select) 135.65 198.95 T
FMENDPAGE
%%EndPage: "36" 37
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-37) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(r) 63.65 732.95 T
(ep) 71.31 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Matrix replication.) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(MatOut = rep\050MatIn, REPN\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
1.03 (rep) 135.65 588.95 P
3 F
0.43 ( is a low-level replication function. Not normally used directly) 157.24 588.95 P
0.43 (,) 460.13 588.95 P
2 F
1.03 (rep) 466.56 588.95 P
3 F
0.43 ( is called) 488.15 588.95 P
(by a number of functions in the GA-T) 135.65 574.95 T
(oolbox.) 317.01 574.95 T
2 F
1.3 (rep) 135.65 548.95 P
3 F
0.54 ( performs replication of a matrix,) 157.24 548.95 P
2 F
1.3 (MatIn) 322.71 548.95 P
3 F
0.54 (, speci\336ed by the numbers in) 358.69 548.95 P
2 F
1.3 (REPN) 502.86 548.95 P
3 F
(and returns the replicated matrix,) 135.65 534.95 T
2 F
(MatOut) 297.52 534.95 T
3 F
(.) 340.7 534.95 T
2 F
1.62 (REPN) 135.65 508.95 P
3 F
0.67 ( contains the number of replications in every direction.) 164.43 508.95 P
2 F
1.62 (REPN\0501\051) 436.3 508.95 P
3 F
0.67 ( speci\336es) 486.67 508.95 P
5.83 (the number of vertical replications,) 135.65 494.95 P
2 F
14 (REPN\0502\051) 336.02 494.95 P
3 F
5.83 ( the number of horizontal) 386.4 494.95 P
(replications.) 135.65 480.95 T
1 16 Q
(Example) 117.65 452.29 T
3 12 Q
( Consider the following matrix) 135.65 434.95 T
2 F
(MatIn) 286.56 434.95 T
3 F
(:) 322.54 434.95 T
2 F
(MatIn = [) 135.65 414.95 T
(1 2 3 4;) 153.65 400.95 T
(5 6 7 8]) 153.65 386.95 T
3 F
(T) 135.65 366.95 T
(o perform matrix replication:) 142.14 366.95 T
2 F
(MatOut = rep\050MatIn, [1 2]\051) 135.65 346.95 T
(MatOut =) 135.65 326.95 T
(1 2 3 4 1 2 3 4) 153.65 312.95 T
(5 6 7 8 5 6 7 8) 153.65 298.95 T
(MatOut = rep\050MatIn, [2 1]\051) 135.65 278.95 T
(MatOut =) 135.65 258.95 T
(1 2 3 4) 153.65 244.95 T
(5 6 7 8) 153.65 230.95 T
(1 2 3 4) 153.65 216.95 T
(5 6 7 8) 153.65 202.95 T
(MatOut = rep\050MatIn, [2 3]\051) 135.65 182.95 T
(MatOut =) 135.65 162.95 T
(1 2 3 4 1 2 3 4 1 2 3 4) 153.65 148.95 T
(5 6 7 8 5 6 7 8 5 6 7 8) 153.65 134.95 T
(1 2 3 4 1 2 3 4 1 2 3 4) 153.65 120.95 T
(5 6 7 8 5 6 7 8 5 6 7 8) 153.65 106.95 T
FMENDPAGE
%%EndPage: "37" 38
%%Page: "38" 38
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-38) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(rws) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Roulette wheel selection) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrIx = rws\050FitnV, Nsel\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
0.41 (rws) 135.65 588.95 P
3 F
0.17 ( probabilistically selects) 157.24 588.95 P
2 F
0.41 (Nsel) 276.67 588.95 P
3 F
0.17 ( individuals for reproduction according to their) 305.45 588.95 P
(\336tness,) 135.65 574.95 T
2 F
(FitnV) 172.3 574.95 T
3 F
(, in the current population.) 206.73 574.95 T
2 F
8.66 (NewChrIx = rws\050FitnV, Nsel\051) 135.65 548.95 P
3 F
3.61 ( selects) 355.91 548.95 P
2 F
8.66 (Nsel) 401.1 548.95 P
3 F
3.61 ( individuals from a) 429.88 548.95 P
0.33 (population using roulette wheel selection.) 135.65 534.95 P
2 F
0.78 (FitnV) 340.48 534.95 P
3 F
0.33 ( is a column vector containing a) 376.46 534.95 P
0.69 (performance measure for each individual in the population. This can be achieved) 135.65 520.95 P
1.83 (by using the function) 135.65 506.95 P
2 F
4.39 (ranking) 247.57 506.95 P
3 F
1.83 ( or) 297.94 506.95 P
2 F
4.39 (scaling) 317.58 506.95 P
3 F
1.83 ( to assign a \336tness level to each) 367.95 506.95 P
0.79 (individual. The return value,) 135.65 492.95 P
2 F
1.89 (NewChrIx) 278.7 492.95 P
3 F
0.79 (, is the index of the individuals selected) 336.26 492.95 P
0.51 (for breeding, in the order that they were selected. The selected individuals can be) 135.65 478.95 P
(recovered by evaluating) 135.65 464.95 T
2 F
(Chrom\050NewChrIx,:\051) 253.88 464.95 T
3 F
(.) 376.21 464.95 T
2 F
(rws) 135.65 438.95 T
3 F
( is a low-level selection function normally called by) 157.24 438.95 T
2 F
(select) 409.4 438.95 T
3 F
(.) 452.57 438.95 T
1 16 Q
(Example) 117.65 410.29 T
3 12 Q
(Consider a population of 8 individuals with the assigned \336tness values,) 135.65 392.95 T
2 F
(FitnV) 479.45 392.95 T
3 F
(:) 514.54 392.95 T
2 F
(FitnV = [1.50; 1.35; 1.21; 1.07; 0.92; 0.78; 0.64; 0.5]) 135.65 372.95 T
3 F
(Select the indices of 6 individuals:) 135.65 352.95 T
2 F
(NewChrIx = rws\050FitnV, 6\051) 135.65 332.95 T
3 F
(Thus,) 135.65 312.95 T
2 F
(NewChrIx) 165.63 312.95 T
3 F
( can become:) 223.2 312.95 T
2 F
(NewChrIx =) 135.65 292.95 T
(2) 153.65 278.95 T
(5) 153.65 264.95 T
(1) 153.65 250.95 T
(1) 153.65 236.95 T
(3) 153.65 222.95 T
(7) 153.65 208.95 T
1 16 Q
(Algorithm) 117.65 186.29 T
3 12 Q
0.3 (A form of roulette wheel selection is implemented by obtaining a cumulative sum) 135.65 168.95 P
5.08 (of the \336tness vector) 135.65 154.95 P
5.08 (,) 244.67 154.95 P
2 F
12.19 (FitnV) 255.75 154.95 P
3 F
5.08 (, and generating) 290.18 154.95 P
2 F
12.19 (Nsel) 385.36 154.95 P
3 F
5.08 ( uniformly at random) 414.14 154.95 P
1.07 (distributed numbers between) 135.65 140.95 P
2 F
2.57 (0) 280.43 140.95 P
3 F
1.07 ( and) 287.63 140.95 P
2 F
2.57 (sum\050FitnV\051) 313.08 140.95 P
3 F
1.07 (. The index of the individuals) 385.05 140.95 P
1.03 (selected is determined by comparing the generated numbers with the cumulative) 135.65 126.95 P
(sum vector) 135.65 112.95 T
(. The probability of an individual being selected is then given by:) 187.95 112.95 T
FMENDPAGE
%%EndPage: "38" 39
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-39) 513.33 61.29 T
3 12 Q
(,) 380.93 725.53 T
2.94 (where) 135.65 664.71 P
0 F
2.94 (f\050x) 170.89 664.71 P
0 10 Q
2.45 (i) 183.54 661.71 P
0 12 Q
2.94 (\051) 186.32 664.71 P
3 F
2.94 ( is the \336tness of individual) 190.32 664.71 P
0 F
2.94 (x) 337.92 664.71 P
0 10 Q
2.45 (i) 343.25 661.71 P
3 12 Q
2.94 ( and) 346.03 664.71 P
0 F
2.94 (F\050x) 375.23 664.71 P
0 10 Q
2.45 (i) 391.88 661.71 P
0 12 Q
2.94 (\051) 394.66 664.71 P
3 F
2.94 ( is the probability of that) 398.65 664.71 P
(individual being selected.) 135.65 650.71 T
1 16 Q
(See Also) 117.65 622.04 T
2 12 Q
(select) 135.65 604.71 T
3 F
(,) 178.82 604.71 T
2 F
(sus) 184.82 604.71 T
3 F
(,) 206.41 604.71 T
2 F
(reins) 212.41 604.71 T
3 F
(,) 248.39 604.71 T
2 F
(ranking) 254.38 604.71 T
3 F
(,) 304.76 604.71 T
2 F
(scaling) 310.75 604.71 T
1 16 Q
(Refer) 117.65 582.04 T
(ence) 155.53 582.04 T
3 12 Q
0.67 ([1] J. E. Baker) 135.65 564.71 P
0.67 (, \322Reducing bias and inef) 206.8 564.71 P
0.67 (\336ciency in the selection algorithm\323,) 330.86 564.71 P
0 F
0.67 (Pr) 508.78 564.71 P
0.67 (oc) 520.33 564.71 P
(ICGA 2) 135.65 550.71 T
3 F
(, pp. 14-21, Lawrence Erlbaum Associates, Publishers, 1987.) 172.62 550.71 T
0.59 ([2] David E. Goldber) 135.65 524.71 P
0.59 (g,) 239.13 524.71 P
0 F
0.59 (Genetic Algorithms in Sear) 251.71 524.71 P
0.59 (ch, Optimization and Machine) 383.96 524.71 P
(Learning) 135.65 510.71 T
3 F
(, Addison W) 179.63 510.71 T
(esley) 239.63 510.71 T
(, 1989.) 263.5 510.71 T
283.37 686.71 380.93 744.95 C
0 12 Q
0 X
0 K
(F) 284.37 725.53 T
(x) 299.5 725.53 T
0 9 Q
(i) 305.29 721.74 T
4 12 Q
(\050) 294.4 725.53 T
(\051) 308.4 725.53 T
0 F
(f) 343.44 735.75 T
(x) 354.58 735.75 T
0 9 Q
(i) 360.36 731.97 T
4 12 Q
(\050) 349.48 735.75 T
(\051) 363.47 735.75 T
0 F
(f) 352.9 703.95 T
(x) 364.04 703.95 T
0 9 Q
(i) 369.83 700.17 T
4 12 Q
(\050) 358.94 703.95 T
(\051) 372.93 703.95 T
0 9 Q
(i) 333.98 689.66 T
3 F
(1) 347.41 689.66 T
4 F
(=) 339.47 689.66 T
0 F
(N) 335.47 720.47 T
0 6 Q
(i) 341.82 718.02 T
(n) 343.94 718.02 T
(d) 347.4 718.02 T
4 18 Q
(\345) 336.52 700.75 T
4 12 Q
(=) 320.39 725.53 T
333.98 728.12 378.68 728.12 2 L
0.33 H
0 Z
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "39" 40
%%Page: "40" 40
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-40) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(scaling) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Linear \336tness scaling) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(FitnV = scaling\050ObjV, Smul\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
6.16 (scaling) 135.65 588.95 P
3 F
2.57 ( converts the objective values,) 186.02 588.95 P
2 F
6.16 (ObjV) 346.75 588.95 P
3 F
2.57 (, of a population into a \336tness) 373.99 588.95 P
(measure with a known upper bound, determined by the value of) 135.65 574.95 T
2 F
(Smul) 444.75 574.95 T
3 F
(, such that,) 473.54 574.95 T
(,) 383.11 547.75 T
0.31 (where) 135.65 519.12 P
0 F
0.31 (f\050x) 168.26 519.12 P
0 10 Q
0.26 (i) 180.91 516.12 P
0 12 Q
0.31 (\051) 183.69 519.12 P
3 F
0.31 ( is the objective value of individual) 187.68 519.12 P
0 F
0.31 (x) 362.07 519.12 P
0 10 Q
0.26 (i) 367.39 516.12 P
3 12 Q
0.31 (,) 370.17 519.12 P
0 F
0.31 (a) 376.48 519.12 P
3 F
0.31 ( is a scaling coef) 382.47 519.12 P
0.31 (\336cient,) 463.43 519.12 P
0 F
0.31 (b) 499.71 519.12 P
3 F
0.31 ( is an) 505.71 519.12 P
0.47 (of) 135.65 505.12 P
0.47 (fset and) 145.42 505.12 P
0 F
0.47 (F\050x) 187 505.12 P
0 10 Q
0.39 (i) 203.64 502.12 P
0 12 Q
0.47 (\051) 206.42 505.12 P
3 F
0.47 ( is the resulting \336tness value of individual) 210.42 505.12 P
0 F
0.47 (x) 418.07 505.12 P
0 10 Q
0.39 (i) 423.39 502.12 P
3 12 Q
0.47 (. If) 426.17 505.12 P
0 F
0.47 (f) 444.09 505.12 P
0 10 Q
0.39 (ave) 447.43 502.12 P
3 12 Q
0.47 ( is the average) 461.3 505.12 P
0.77 (objective value in the current generation, then the maximum \336tness of the scaled) 135.65 491.12 P
0.5 (population is upper bounded at) 135.65 477.12 P
0 F
0.5 (f) 289.7 477.12 P
0 10 Q
0.41 (ave) 293.03 474.12 P
4 12 Q
0.5 ( \264) 306.91 477.12 P
2 F
1.19 ( Smul) 316.98 477.12 P
3 F
0.5 (. If) 354.15 477.12 P
2 F
1.19 (Smul) 372.13 477.12 P
3 F
0.5 ( is omitted then the default) 400.91 477.12 P
0.38 (value of) 135.65 463.12 P
2 F
0.92 (Smult = 2) 178.38 463.12 P
3 F
0.38 ( is assumed. The average \336tness of the scaled population is) 244.99 463.12 P
(also set to) 135.65 449.12 T
0 F
(f) 186.62 449.12 T
0 10 Q
(ave) 189.95 446.12 T
3 12 Q
(.) 203.83 449.12 T
1.76 (In the case of some of the objective values being negative, scaling attempts to) 135.65 423.12 P
(provide an of) 135.65 409.12 T
(fset,) 199.38 409.12 T
0 F
(b) 222.7 409.12 T
3 F
(, such that the scaled \336tness values are greater than zero.) 228.69 409.12 T
1 16 Q
(Algorithm) 117.65 380.45 T
2 12 Q
(scaling) 135.65 363.12 T
3 F
( uses the linear scaling method described by Goldber) 186.02 363.12 T
(g [1].) 439.62 363.12 T
1 F
1.97 (Note:) 135.65 337.12 P
3 F
1.97 ( linear scaling is not suitable for use with objective functions that return) 163.62 337.12 P
(negative \336tness values and is included here only for completeness.) 135.65 323.12 T
1 16 Q
(See Also) 117.65 294.45 T
2 12 Q
(ranking) 135.65 277.12 T
3 F
(,) 186.02 277.12 T
2 F
(reins) 192.02 277.12 T
3 F
(,) 228 277.12 T
2 F
(rws) 233.99 277.12 T
3 F
(,) 255.58 277.12 T
2 F
(select) 261.58 277.12 T
3 F
(,) 304.76 277.12 T
2 F
(sus) 310.75 277.12 T
1 16 Q
(Refer) 117.65 254.45 T
(ence) 155.53 254.45 T
3 12 Q
2.36 ([1] D. E. Goldber) 135.65 237.12 P
2.36 (g,) 226.77 237.12 P
0 F
2.36 (Genetic Algorithms in Sear) 241.12 237.12 P
2.36 (ch, Optimization and Machine) 378.67 237.12 P
(Learning) 135.65 223.12 T
3 F
(, Addison W) 179.63 223.12 T
(esley Publishing Company) 239.63 223.12 T
(, January 1989.) 367.46 223.12 T
281.19 541.12 383.11 556.95 C
0 12 Q
0 X
0 K
(F) 282.19 547.75 T
(x) 297.33 547.75 T
0 9 Q
(i) 303.11 543.97 T
4 12 Q
(\050) 292.23 547.75 T
(\051) 306.22 547.75 T
0 F
(a) 330.8 547.75 T
(f) 337.5 547.75 T
(x) 348.64 547.75 T
0 9 Q
(i) 354.43 543.97 T
4 12 Q
(\050) 343.54 547.75 T
(\051) 357.53 547.75 T
0 F
(b) 376.11 547.75 T
4 F
(+) 366.53 547.75 T
(=) 318.21 547.75 T
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "40" 41
%%Page: "41" 41
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-41) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(select) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Selection of individuals from population \050high-level function\051.) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(SelCh = select\050SEL_F, Chrom, FitnV\051) 135.65 628.95 T
(SelCh = select\050SEL_F, Chrom, FitnV, GGAP\051) 135.65 608.95 T
(SelCh = select\050SEL_F, Chrom, FitnV, GGAP, SUBPOP\051) 135.65 588.95 T
1 16 Q
(Description) 117.65 566.29 T
2 12 Q
0.25 (select) 135.65 548.95 P
3 F
0.11 ( performs selection of individuals from a population,) 178.82 548.95 P
2 F
0.25 (Chrom) 435.84 548.95 P
3 F
0.11 (, and returns) 471.82 548.95 P
1.63 (the selected individuals in a new population,) 135.65 534.95 P
2 F
3.92 (SelCh) 363.6 534.95 P
3 F
1.63 (. Each row of) 399.58 534.95 P
2 F
3.92 (Chrom) 473.72 534.95 P
3 F
1.63 ( and) 509.7 534.95 P
2 F
(SelCh) 135.65 520.95 T
3 F
( corresponds to one individual.) 171.63 520.95 T
2 F
2.39 (SEL_F) 135.65 494.95 P
3 F
1 ( is a string and contains the name of the low-level selection function, for) 171.63 494.95 P
(example) 135.65 480.95 T
2 F
(rws) 179.28 480.95 T
3 F
( or) 200.87 480.95 T
2 F
(sus) 216.85 480.95 T
3 F
(.) 238.44 480.95 T
2 F
6.18 (FitnV) 135.65 454.95 P
3 F
2.57 ( is a column vector containing the \336tness values of the individuals in) 171.63 454.95 P
2 F
2.53 (Chrom) 135.65 440.95 P
3 F
1.06 (. The \336tness value indicates the expected probability of selection of each) 171.63 440.95 P
(individual.) 135.65 426.95 T
2 F
2.5 (GGAP) 135.65 400.95 P
3 F
1.04 ( is an optional parameter specifying the generation gap, the fraction of the) 164.43 400.95 P
-0.3 (population to be reproduced. If) 135.65 386.95 P
2 F
-0.72 (GGAP) 286.04 386.95 P
3 F
-0.3 ( is omitted or) 314.83 386.95 P
2 F
-0.72 (NaN,) 380.27 386.95 P
-0.72 (GGAP = 1.0) 411.75 386.95 P
3 F
-0.3 ( \050100%\051 is) 482.28 386.95 P
3.47 (assumed.) 135.65 372.95 P
2 F
8.33 (GGAP) 186.42 372.95 P
3 F
3.47 ( may also be greater than 1, allowing more of) 215.21 372.95 P
3.47 (fspring to be) 464.08 372.95 P
3.44 (produced then the number of parents. If) 135.65 358.95 P
2 F
8.25 (Chrom) 352.89 358.95 P
3 F
3.44 ( consists of more than one) 388.87 358.95 P
3.58 (subpopulation,) 135.65 344.95 P
2 F
8.58 (GGAP) 213.19 344.95 P
3 F
3.58 ( speci\336es the number of individuals to be selected per) 241.97 344.95 P
(subpopulation relative to the size of the subpopulation.) 135.65 330.95 T
2 F
0.01 (SUBPOP) 135.65 304.95 P
3 F
0.01 ( is an optional parameter and determines the number of subpopulations in) 178.82 304.95 P
2 F
8.57 (Chrom) 135.65 290.95 P
3 F
3.57 (. If) 171.63 290.95 P
2 F
8.57 (SUBPOP) 195.75 290.95 P
3 F
3.57 ( is omitted or) 238.93 290.95 P
2 F
8.57 (NaN,) 319.85 290.95 P
8.57 (SUBPOP = 1) 355.2 290.95 P
3 F
3.57 ( is assumed. All) 444.31 290.95 P
(subpopulations in) 135.65 276.95 T
2 F
(Chrom) 223.61 276.95 T
3 F
( must have the same size.) 259.59 276.95 T
1 16 Q
(Example) 117.65 248.29 T
3 12 Q
0.93 (Consider a population of 8 individuals,) 135.65 230.95 P
2 F
2.23 (Chrom) 331.45 230.95 P
3 F
0.93 (, with the assigned \336tness values,) 367.43 230.95 P
2 F
(FitnV) 135.65 216.95 T
3 F
(:) 170.74 216.95 T
FMENDPAGE
%%EndPage: "41" 42
%%Page: "42" 42
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-42) 513.33 61.29 T
2 12 Q
(Chrom = [) 135.65 736.95 T
(1 11 21;) 153.65 722.95 T
(2 12 22;) 153.65 708.95 T
(3 13 23;) 153.65 694.95 T
(4 14 24;) 153.65 680.95 T
(5 15 25;) 153.65 666.95 T
(6 16 26;) 153.65 652.95 T
(7 17 27;) 153.65 638.95 T
(8 18 28]) 153.65 624.95 T
(FitnV = [1.50; 1.35; 1.21; 1.07; 0.92; 0.78; 0.64; 0.5]) 135.65 604.95 T
3 F
(Select 8 individuals by stochastic universal sampling,) 135.65 584.95 T
2 F
(sus) 395.5 584.95 T
3 F
(:) 417.08 584.95 T
2 F
(SelCh = select\050\324sus\325, Chrom, FitnV\051) 135.65 564.95 T
3 F
(Thus,) 135.65 544.95 T
2 F
(SelCh) 165.63 544.95 T
3 F
( can become:) 201.61 544.95 T
2 F
(SelCh =) 135.65 524.95 T
(7 17 27) 153.65 510.95 T
(1 11 21) 153.65 496.95 T
(6 16 26) 153.65 482.95 T
(1 11 21) 153.65 468.95 T
(5 15 25) 153.65 454.95 T
(2 12 22) 153.65 440.95 T
(3 13 23) 153.65 426.95 T
(4 14 24) 153.65 412.95 T
3 F
3.8 (Consider) 135.65 392.95 P
2 F
9.12 (Chrom) 185.76 392.95 P
3 F
3.8 ( consists of 2 subpopulations. Select 150% individuals per) 221.74 392.95 P
(subpopulation by roulette wheel selection,) 135.65 378.95 T
2 F
(rws) 341.52 378.95 T
3 F
(:) 363.1 378.95 T
2 F
(FitnV = [1.50; 1.16; 0.83; 0.50; 1.50; 1.16; 0.83; 0.5]) 135.65 358.95 T
(SelCh = select\050\324sus\325, Chrom, FitnV, 1.5, 2\051) 135.65 338.95 T
3 F
(Thus,) 135.65 318.95 T
2 F
(SelCh) 165.63 318.95 T
3 F
( can become:) 201.61 318.95 T
2 F
(SelCh =) 135.65 298.95 T
(3 13 23) 153.65 284.95 T
(2 12 22) 153.65 270.95 T
(1 11 21) 153.65 256.95 T
(2 12 22) 153.65 242.95 T
(2 12 22) 153.65 228.95 T
(1 11 21) 153.65 214.95 T
(6 16 26) 153.65 200.95 T
(7 17 27) 153.65 186.95 T
(7 17 27) 153.65 172.95 T
(6 16 26) 153.65 158.95 T
(7 17 27) 153.65 144.95 T
(5 15 25) 153.65 130.95 T
FMENDPAGE
%%EndPage: "42" 43
%%Page: "43" 43
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-43) 513.33 61.29 T
1 16 Q
(Algorithm) 117.65 734.29 T
2 12 Q
4.38 (select) 135.65 716.95 P
3 F
1.83 ( checks the consistency of the input parameter and calls the low-level) 178.82 716.95 P
-0.05 (selection function. If) 135.65 702.95 P
2 F
-0.12 (select) 238.09 702.95 P
3 F
-0.05 ( is called with more than one subpopulation then the) 281.26 702.95 P
(low-level selection function is called separately for each subpopulation.) 135.65 688.95 T
1 16 Q
(See Also) 117.65 666.29 T
2 12 Q
(rws) 135.65 648.95 T
3 F
(,) 157.24 648.95 T
2 F
(sus) 163.23 648.95 T
3 F
(,) 184.82 648.95 T
2 F
(ranking) 190.82 648.95 T
3 F
(,) 241.19 648.95 T
2 F
(scaling) 247.19 648.95 T
3 F
(,) 297.56 648.95 T
2 F
(recombin) 303.56 648.95 T
3 F
(,) 361.12 648.95 T
2 F
(mutate) 367.12 648.95 T
FMENDPAGE
%%EndPage: "43" 44
%%Page: "44" 44
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-44) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(sus) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Stochastic universal sampling) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrIx = sus\050FitnV, Nsel\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
0.41 (sus) 135.65 588.95 P
3 F
0.17 ( probabilistically selects) 157.24 588.95 P
2 F
0.41 (Nsel) 276.67 588.95 P
3 F
0.17 ( individuals for reproduction according to their) 305.45 588.95 P
(\336tness,) 135.65 574.95 T
2 F
(FitnV) 172.3 574.95 T
3 F
(, in the current population.) 206.73 574.95 T
2 F
8.66 (NewChrIx = rws\050FitnV, Nsel\051) 135.65 548.95 P
3 F
3.61 ( selects) 355.91 548.95 P
2 F
8.66 (Nsel) 401.1 548.95 P
3 F
3.61 ( individuals from a) 429.88 548.95 P
2.12 (population using stochastic universal sampling [1].) 135.65 534.95 P
2 F
5.09 (FitnV) 395.91 534.95 P
3 F
2.12 ( is a column vector) 431.89 534.95 P
0.51 (containing a performance measure for each individual in the population. This can) 135.65 520.95 P
0.09 (be achieved by using the function) 135.65 506.95 P
2 F
0.21 (ranking) 300.71 506.95 P
3 F
0.09 ( or) 351.08 506.95 P
2 F
0.21 (scaling) 367.24 506.95 P
3 F
0.09 ( to assign a \336tness level) 417.62 506.95 P
1.08 (to each individual. The return value,) 135.65 492.95 P
2 F
2.6 (NewChrIx) 319.34 492.95 P
3 F
1.08 (, is the index of the individuals) 376.91 492.95 P
-0.09 (selected for breeding, in the order that they were selected. The selected individuals) 135.65 478.95 P
(can be recovered by evaluating) 135.65 464.95 T
2 F
(Chrom\050NewChrIx,:\051) 287.84 464.95 T
3 F
(.) 410.18 464.95 T
2 F
(sus) 135.65 438.95 T
3 F
( is a low-level selection function normally called by) 157.24 438.95 T
2 F
(select) 409.4 438.95 T
3 F
(.) 452.57 438.95 T
1 16 Q
(Example) 117.65 410.29 T
3 12 Q
(Consider a population of 8 individuals with the assigned \336tness values,) 135.65 392.95 T
2 F
(FitnV) 479.45 392.95 T
3 F
(:) 514.54 392.95 T
2 F
(FitnV = [1.50; 1.35; 1.21; 1.07; 0.92; 0.78; 0.64; 0.5]) 135.65 372.95 T
3 F
(Select the indices of 6 individuals:) 135.65 352.95 T
2 F
(NewChrIx = sus\050FitnV, 6\051) 135.65 332.95 T
3 F
(Thus,) 135.65 312.95 T
2 F
(NewChrIx) 165.63 312.95 T
3 F
( can become:) 223.2 312.95 T
2 F
(NewChrIx =) 135.65 292.95 T
(5) 153.65 278.95 T
(6) 153.65 264.95 T
(3) 153.65 250.95 T
(1) 153.65 236.95 T
(1) 153.65 222.95 T
(2) 153.65 208.95 T
1 16 Q
(Algorithm) 117.65 186.29 T
3 12 Q
-0.07 (A form of stochastic universal sampling is implemented by obtaining a cumulative) 135.65 168.95 P
1.08 (sum of the \336tness vector) 135.65 154.95 P
1.08 (,) 256.73 154.95 P
2 F
2.58 (FitnV) 263.8 154.95 P
3 F
1.08 (, and generating) 298.23 154.95 P
2 F
2.58 (Nsel) 381.39 154.95 P
3 F
1.08 ( equally spaced numbers) 410.18 154.95 P
-0.22 (between) 135.65 140.95 P
2 F
-0.52 (0) 178.39 140.95 P
3 F
-0.22 ( and) 185.59 140.95 P
2 F
-0.52 (sum\050FitnV\051) 208.47 140.95 P
3 F
-0.22 (. Thus, only one random number is generated, all the) 280.43 140.95 P
1.83 (others used being equally spaced from that point. The index of the individuals) 135.65 126.95 P
FMENDPAGE
%%EndPage: "44" 45
%%Page: "45" 45
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-45) 513.33 61.29 T
3 12 Q
1.03 (selected is determined by comparing the generated numbers with the cumulative) 135.65 736.95 P
(sum vector) 135.65 722.95 T
(. The probability of an individual being selected is then given by) 187.95 722.95 T
(\325) 380.43 685.53 T
2.94 (where) 135.65 624.71 P
0 F
2.94 (f\050x) 170.89 624.71 P
0 10 Q
2.45 (i) 183.54 621.71 P
0 12 Q
2.94 (\051) 186.32 624.71 P
3 F
2.94 ( is the \336tness of individual) 190.32 624.71 P
0 F
2.94 (x) 337.92 624.71 P
0 10 Q
2.45 (i) 343.25 621.71 P
3 12 Q
2.94 ( and) 346.03 624.71 P
0 F
2.94 (F\050x) 375.23 624.71 P
0 10 Q
2.45 (i) 391.88 621.71 P
0 12 Q
2.94 (\051) 394.66 624.71 P
3 F
2.94 ( is the probability of that) 398.65 624.71 P
(individual being selected.) 135.65 610.71 T
1 16 Q
(See Also) 117.65 582.04 T
2 12 Q
(select) 135.65 564.71 T
3 F
(,) 178.82 564.71 T
2 F
(rws) 184.82 564.71 T
3 F
(,) 206.41 564.71 T
2 F
(reins) 212.41 564.71 T
3 F
(,) 248.39 564.71 T
2 F
(ranking) 254.38 564.71 T
3 F
(,) 304.76 564.71 T
2 F
(scaling) 310.75 564.71 T
1 16 Q
(Refer) 117.65 542.04 T
(ence) 155.53 542.04 T
3 12 Q
0.42 ([1] J. E. Baker) 135.65 524.71 P
0.42 (, \322Reducing bias and inef) 206.05 524.71 P
0.42 (\336ciency in the selection algorithm\323,) 329.11 524.71 P
0 F
0.42 (Pr) 505.78 524.71 P
0.42 (oc.) 517.33 524.71 P
(ICGA 2) 135.65 510.71 T
3 F
(, pp. 14-21, Lawrence Erlbaum Associates, Publishers, 1987.) 172.62 510.71 T
282.87 646.71 380.43 704.95 C
0 12 Q
0 X
0 K
(F) 283.87 685.53 T
(x) 299.01 685.53 T
0 9 Q
(i) 304.79 681.74 T
4 12 Q
(\050) 293.91 685.53 T
(\051) 307.9 685.53 T
0 F
(f) 342.94 695.75 T
(x) 354.08 695.75 T
0 9 Q
(i) 359.87 691.97 T
4 12 Q
(\050) 348.98 695.75 T
(\051) 362.97 695.75 T
0 F
(f) 352.4 663.95 T
(x) 363.54 663.95 T
0 9 Q
(i) 369.33 660.17 T
4 12 Q
(\050) 358.44 663.95 T
(\051) 372.44 663.95 T
0 9 Q
(i) 333.48 649.66 T
3 F
(1) 346.91 649.66 T
4 F
(=) 338.98 649.66 T
0 F
(N) 334.98 680.47 T
0 6 Q
(i) 341.32 678.02 T
(n) 343.45 678.02 T
(d) 346.91 678.02 T
4 18 Q
(\345) 336.03 660.75 T
4 12 Q
(=) 319.89 685.53 T
333.48 688.12 378.18 688.12 2 L
0.33 H
0 Z
N
-8.35 24.95 603.65 816.95 C
FMENDPAGE
%%EndPage: "45" 46
%%Page: "46" 46
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-46) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovdp) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Double-point crossover) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovdp\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
0.62 (xov) 135.65 588.95 P
3 F
0.26 (dp performs double-point crossover between pairs of individuals contained in) 157.24 588.95 P
0.18 (the current population,) 135.65 574.95 P
2 F
0.44 (OldChrom) 248.12 574.95 P
3 F
0.18 (, according to the crossover probability) 305.69 574.95 P
0.18 (,) 493.69 574.95 P
2 F
0.44 (XOVR) 499.86 574.95 P
3 F
0.18 (,) 528.65 574.95 P
0.61 (and returns a new population after mating,) 135.65 560.95 P
2 F
1.47 (NewChrom) 346.45 560.95 P
3 F
0.61 (. Each row of) 404.02 560.95 P
2 F
1.47 (OldChrom) 474.08 560.95 P
3 F
4.74 (and) 135.65 546.95 P
2 F
11.37 (NewChrom) 160.7 546.95 P
3 F
4.74 ( corresponds to one individual. For the chromosomes any) 218.27 546.95 P
(representation can be used.) 135.65 532.95 T
2 F
1.74 (XOVR) 135.65 506.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 506.95 P
2 F
1.74 (XOVR) 447.77 506.95 P
3 F
0.72 ( is omitted,) 476.56 506.95 P
(empty or) 135.65 492.95 T
2 F
(NaN,) 181.62 492.95 T
(XOVR = 0.7) 213.4 492.95 T
3 F
( is assumed.) 285.36 492.95 T
1.18 (The pairs are mated in order) 135.65 466.95 P
1.18 (, odd row with the next even row) 276.62 466.95 P
1.18 (. If the number of) 442.66 466.95 P
3.35 (rows in the matrix) 135.65 452.95 P
2 F
8.05 (OldChrom) 239.67 452.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 452.95 P
-0.12 (population should therefore be or) 135.65 438.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 438.95 P
0.8 (This can be achieved by using the function) 135.65 424.95 P
2 F
1.92 (ranking) 350.55 424.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 424.95 P
2.71 (each chromosome and a selection function \050) 135.65 410.95 P
2 F
6.52 (select) 363.11 410.95 P
3 F
2.71 (,) 406.28 410.95 P
2 F
6.52 (sus) 414.99 410.95 P
3 F
2.71 ( or) 436.58 410.95 P
2 F
6.52 (rws) 458 410.95 P
3 F
2.71 (\051 to select) 479.59 410.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 396.95 T
2 F
(xovdp) 135.65 370.95 T
3 F
( is a low-level crossover function normally called by) 171.63 370.95 T
2 F
(recombin) 427.11 370.95 T
3 F
(.) 484.68 370.95 T
1 16 Q
(Algorithm) 117.65 342.29 T
3 12 Q
(Consider the following two binary strings of the same length:) 135.65 324.95 T
2 F
(A1 = [1 1 0 1 0 1]) 135.65 304.95 T
(A2 = [1 0 1 0 1 0]) 135.65 290.95 T
3 F
3.91 (Double point crossover involves selecting uniformly at random two integer) 135.65 270.95 P
0.16 (positions,) 135.65 256.95 P
0 F
0.16 (k1) 185.13 256.95 P
3 F
0.16 (and) 199.61 256.95 P
0 F
0.16 ( k2) 216.93 256.95 P
3 F
0.16 (, between 1 and) 231.41 256.95 P
2 F
0.39 (length\050A1\051) 310.32 256.95 P
3 F
0.16 (, and swapping the variables in) 382.28 256.95 P
0.88 (positions) 135.65 242.95 P
0 F
0.88 (k1+1) 182.85 242.95 P
3 F
0.88 ( to) 208.26 242.95 P
0 F
0.88 (k2) 225.36 242.95 P
3 F
0.88 ( between) 236.68 242.95 P
2 F
2.12 (A1) 284.4 242.95 P
3 F
0.88 ( and) 298.8 242.95 P
2 F
2.12 (A2) 323.88 242.95 P
3 F
0.88 (. Thus if the crossover positions) 338.27 242.95 P
0 F
0.88 (k1) 499.8 242.95 P
3 F
0.88 ( = 3) 511.12 242.95 P
(and) 135.65 228.95 T
0 F
(k2) 155.96 228.95 T
3 F
( = 5, then) 167.29 228.95 T
2 F
(A1) 215.69 228.95 T
3 F
( and) 230.08 228.95 T
2 F
(A2) 253.4 228.95 T
3 F
( would become:) 267.79 228.95 T
2 F
(A1\325 = [1 1 0 0 1 1]) 135.65 208.95 T
(A2\325 = [1 0 1 1 0 0]) 135.65 194.95 T
(xovdp) 135.65 174.95 T
3 F
( calls) 171.63 174.95 T
2 F
(xovmp) 199.61 174.95 T
3 F
( with the appropriate parameters.) 235.59 174.95 T
1 16 Q
(See Also) 117.65 152.29 T
2 12 Q
(xovdprs) 135.65 134.95 T
3 F
(,) 186.02 134.95 T
2 F
(xovsp) 192.02 134.95 T
3 F
(,) 228 134.95 T
2 F
(xovsh) 233.99 134.95 T
3 F
(,) 269.97 134.95 T
2 F
(xovmp) 275.97 134.95 T
3 F
(,) 311.95 134.95 T
2 F
(recombin) 317.95 134.95 T
3 F
(,) 375.52 134.95 T
2 F
(select) 381.51 134.95 T
FMENDPAGE
%%EndPage: "46" 47
%%Page: "47" 47
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-47) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovdprs) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Double-point reduced surrogate crossover) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovdprs\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
7.01 (xov) 135.65 588.95 P
3 F
2.92 (dprs performs double-point reduced surrogate crossover between pairs of) 157.24 588.95 P
2.78 (individuals contained in the current population,) 135.65 574.95 P
2 F
6.66 (OldChrom) 382.48 574.95 P
3 F
2.78 (, according to the) 440.05 574.95 P
5.65 (crossover probability) 135.65 560.95 P
5.65 (,) 242.12 560.95 P
2 F
13.57 (XOVR) 253.77 560.95 P
3 F
5.65 (, and returns a new population after mating,) 282.55 560.95 P
2 F
10.34 (NewChrom) 135.65 546.95 P
3 F
4.31 (. Each row of) 193.22 546.95 P
2 F
10.34 (OldChrom) 278.06 546.95 P
3 F
4.31 ( and) 335.62 546.95 P
2 F
10.34 (NewChrom) 367.56 546.95 P
3 F
4.31 ( corresponds to one) 425.13 546.95 P
(individual. For the chromosomes any representation can be used.) 135.65 532.95 T
2 F
1.74 (XOVR) 135.65 506.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 506.95 P
2 F
1.74 (XOVR) 447.77 506.95 P
3 F
0.72 ( is omitted,) 476.56 506.95 P
(empty or) 135.65 492.95 T
2 F
(NaN,) 181.62 492.95 T
(XOVR = 0.7) 213.4 492.95 T
3 F
( is assumed.) 285.36 492.95 T
1.18 (The pairs are mated in order) 135.65 466.95 P
1.18 (, odd row with the next even row) 276.62 466.95 P
1.18 (. If the number of) 442.66 466.95 P
3.35 (rows in the matrix) 135.65 452.95 P
2 F
8.05 (OldChrom) 239.67 452.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 452.95 P
-0.12 (population should therefore be or) 135.65 438.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 438.95 P
0.8 (This can be achieved by using the function) 135.65 424.95 P
2 F
1.92 (ranking) 350.55 424.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 424.95 P
2.71 (each chromosome and a selection function \050) 135.65 410.95 P
2 F
6.52 (select) 363.11 410.95 P
3 F
2.71 (,) 406.28 410.95 P
2 F
6.52 (sus) 414.99 410.95 P
3 F
2.71 ( or) 436.58 410.95 P
2 F
6.52 (rws) 458 410.95 P
3 F
2.71 (\051 to select) 479.59 410.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 396.95 T
2 F
(xovdp) 135.65 370.95 T
3 F
(rs is a low-level crossover function normally called by) 171.63 370.95 T
2 F
(recombin) 435.77 370.95 T
3 F
(.) 493.34 370.95 T
1 16 Q
(Algorithm) 117.65 342.29 T
3 12 Q
(For double point crossover see) 135.65 324.95 T
2 F
(xovdp) 285.88 324.95 T
3 F
(.) 321.86 324.95 T
3.35 (The) 135.65 298.95 P
0 F
3.35 (r) 160.65 298.95 P
3.35 (educed surr) 164.87 298.95 P
3.35 (ogate) 224.74 298.95 P
3 F
3.35 ( operator constrains crossover to always produce new) 251.39 298.95 P
0.99 (individuals wherever possible. This is implemented by restricting the location of) 135.65 284.95 P
1.41 (crossover points such that crossover points only occur where gene values dif) 135.65 270.95 P
1.41 (fer) 518.34 270.95 P
([1].) 135.65 256.95 T
2 F
(xovdprs) 135.65 230.95 T
3 F
( calls) 186.02 230.95 T
2 F
(xovmp) 214 230.95 T
3 F
( with the appropriate parameters.) 249.98 230.95 T
1 16 Q
(See Also) 117.65 208.29 T
2 12 Q
(xovdp) 135.65 190.95 T
3 F
(,) 171.63 190.95 T
2 F
(xovsprs) 177.62 190.95 T
3 F
(,) 228 190.95 T
2 F
(xovshrs) 233.99 190.95 T
3 F
(,) 284.37 190.95 T
2 F
(xovmp) 290.36 190.95 T
3 F
(,) 326.34 190.95 T
2 F
(recombin) 332.34 190.95 T
3 F
(,) 389.91 190.95 T
2 F
(select) 395.9 190.95 T
1 16 Q
(Refer) 117.65 168.29 T
(ence) 155.53 168.29 T
3 12 Q
1.31 ([1] L. Booker) 135.65 150.95 P
1.31 (, \322Improving search in genetic algorithms,\323 In) 203.4 150.95 P
0 F
1.31 ( Genetic Algorithms) 432.42 150.95 P
5.64 (and Simulated Annealing) 135.65 136.95 P
3 F
5.64 (, L. Davis \050Ed.\051, pp. 61-73, Mor) 268.2 136.95 P
5.64 (gan Kaufmann) 455.06 136.95 P
(Publishers, 1987) 135.65 122.95 T
2 F
(.) 215.61 122.95 T
FMENDPAGE
%%EndPage: "47" 48
%%Page: "48" 48
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-48) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovmp) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Multi-point crossover) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovmp\050OldChrom, XOVR, Npt, Rs\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
1.93 (xovmp) 135.65 588.95 P
3 F
0.81 ( performs multi-point crossover between pairs of individuals contained in) 171.63 588.95 P
1.7 (the current population,) 135.65 574.95 P
2 F
4.08 (OldChrom) 252.67 574.95 P
3 F
1.7 (, and returns a new population after mating,) 310.24 574.95 P
2 F
10.34 (NewChrom) 135.65 560.95 P
3 F
4.31 (. Each row of) 193.22 560.95 P
2 F
10.34 (OldChrom) 278.06 560.95 P
3 F
4.31 ( and) 335.62 560.95 P
2 F
10.34 (NewChrom) 367.56 560.95 P
3 F
4.31 ( corresponds to one) 425.13 560.95 P
(individual. For the chromosomes any representation can be used.) 135.65 546.95 T
2 F
1.74 (XOVR) 135.65 526.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 526.95 P
2 F
1.74 (XOVR) 447.77 526.95 P
3 F
0.72 ( is omitted,) 476.56 526.95 P
(empty or) 135.65 512.95 T
2 F
(NaN,) 181.62 512.95 T
(XOVR = 0.7) 213.4 512.95 T
3 F
( is assumed.) 285.36 512.95 T
2 F
(Npt) 135.65 492.95 T
3 F
( is an optional parameter specifying the number of crosspoints:) 157.24 492.95 T
(0 - shuf) 171.65 478.95 T
(\337e crossover) 208.07 478.95 T
(.) 268.36 478.95 T
(1 - single point crossover) 171.65 464.95 T
(.) 292.24 464.95 T
(2 - double point crossover) 171.65 450.95 T
(.) 296.24 450.95 T
(If) 171.65 436.95 T
2 F
(Npt) 182.63 436.95 T
3 F
( is omitted, empty or) 204.22 436.95 T
2 F
(NaN,) 306.84 436.95 T
(Npt = 0) 338.62 436.95 T
3 F
( is assumed.) 388.99 436.95 T
2 F
(Rs) 135.65 416.95 T
3 F
( is an optional parameter specifying the use of reduced surrogate:) 150.04 416.95 T
(0 - no reduced surrogate.) 171.65 402.95 T
(1 - use reduced surrogate.) 171.65 388.95 T
(If) 171.65 374.95 T
2 F
(Rs) 182.63 374.95 T
3 F
( is omitted, empty or) 197.03 374.95 T
2 F
(NaN,) 299.64 374.95 T
(Rs = 0) 331.42 374.95 T
3 F
( is assumed.) 374.6 374.95 T
1.18 (The pairs are mated in order) 135.65 354.95 P
1.18 (, odd row with the next even row) 276.62 354.95 P
1.18 (. If the number of) 442.66 354.95 P
3.35 (rows in the matrix) 135.65 340.95 P
2 F
8.05 (OldChrom) 239.67 340.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 340.95 P
-0.12 (population should therefore be or) 135.65 326.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 326.95 P
0.8 (This can be achieved by using the function) 135.65 312.95 P
2 F
1.92 (ranking) 350.55 312.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 312.95 P
2.71 (each chromosome and a selection function \050) 135.65 298.95 P
2 F
6.52 (select) 363.11 298.95 P
3 F
2.71 (,) 406.28 298.95 P
2 F
6.52 (sus) 414.99 298.95 P
3 F
2.71 ( or) 436.58 298.95 P
2 F
6.52 (rws) 458 298.95 P
3 F
2.71 (\051 to select) 479.59 298.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 284.95 T
2 F
-0.06 (xov) 135.65 264.95 P
3 F
-0.03 (mp is a low-level crossover function called by all other crossover functions. If) 157.24 264.95 P
4.29 (called by) 135.65 250.95 P
2 F
10.3 (recombine) 190.86 250.95 P
10.3 (xovmp) 262.92 250.95 P
3 F
4.29 ( performs shuf) 298.9 250.95 P
4.29 (\337e crossover without reduced) 377.21 250.95 P
(surrogate identical to) 135.65 236.95 T
2 F
(xovsh) 239.91 236.95 T
3 F
(.) 275.89 236.95 T
1 16 Q
(Algorithm) 117.65 214.29 T
3 12 Q
3.98 (The algorithms used in single-point, double-point and shuf) 135.65 196.95 P
3.98 (\337e crossover are) 445.1 196.95 P
0.69 (described in the) 135.65 182.95 P
2 F
1.66 (xovsp) 216.66 182.95 P
3 F
0.69 (,) 252.64 182.95 P
2 F
1.66 (xovdp) 259.33 182.95 P
1.66 (and xovsh) 299 182.95 P
0 F
0.69 (Refer) 374.28 182.95 P
0.69 (ence) 399.82 182.95 P
3 F
0.69 (entries) 430.65 182.95 P
0.69 (respectively) 471.48 182.95 P
0.69 (.) 528.65 182.95 P
3.23 (The algorithms used in single-point, double-point and shuf) 135.65 168.95 P
3.23 (\337e crossover with) 439.91 168.95 P
1.66 (reduced surrogates are described in the) 135.65 154.95 P
2 F
3.99 (xovsprs) 335.44 154.95 P
3 F
1.66 (,) 385.82 154.95 P
2 F
3.99 (xovdprs) 393.47 154.95 P
3.99 (and xovshrs) 448.51 154.95 P
0 F
(Refer) 135.65 140.95 T
(ence) 161.18 140.95 T
3 F
( entries respectively) 183.15 140.95 T
(.) 278.3 140.95 T
1 16 Q
(See Also) 117.65 118.29 T
2 12 Q
(xovsp) 135.65 100.95 T
3 F
(,) 171.63 100.95 T
2 F
(xovdp) 177.62 100.95 T
3 F
(,) 213.6 100.95 T
2 F
(xovsh) 219.6 100.95 T
3 F
(,) 255.58 100.95 T
2 F
(xovsprs) 261.58 100.95 T
3 F
(,) 311.95 100.95 T
2 F
(xovdprs) 317.95 100.95 T
3 F
(,) 368.32 100.95 T
2 F
(xovshrs) 374.32 100.95 T
3 F
(,) 424.69 100.95 T
2 F
(recombin) 430.69 100.95 T
FMENDPAGE
%%EndPage: "48" 49
%%Page: "49" 49
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-49) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovsh) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Shuf) 135.65 674.95 T
(\337e crossover) 158.09 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovsh\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
2.68 (xovsh) 135.65 588.95 P
3 F
1.12 ( performs shuf) 171.63 588.95 P
1.12 (\337e crossover between pairs of individuals contained in the) 243.59 588.95 P
-0.11 (current population,) 135.65 574.95 P
2 F
-0.27 (OldChrom) 229.69 574.95 P
3 F
-0.11 (, according to the crossover probability) 287.26 574.95 P
-0.11 (,) 473.78 574.95 P
2 F
-0.27 (XOVR) 479.66 574.95 P
3 F
-0.11 (, and) 508.45 574.95 P
0.61 (returns a new population after mating,) 135.65 560.95 P
2 F
1.47 (NewChrom) 325.52 560.95 P
3 F
0.61 (. Each row of) 383.09 560.95 P
2 F
1.47 (OldChrom) 453.15 560.95 P
3 F
0.61 ( and) 510.72 560.95 P
2 F
18.88 (NewChrom) 135.65 546.95 P
3 F
7.87 ( corresponds to one individual. For the chromosomes any) 193.22 546.95 P
(representation can be used.) 135.65 532.95 T
2 F
1.74 (XOVR) 135.65 506.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 506.95 P
2 F
1.74 (XOVR) 447.77 506.95 P
3 F
0.72 ( is omitted,) 476.56 506.95 P
(empty or) 135.65 492.95 T
2 F
(NaN,) 181.62 492.95 T
(XOVR = 0.7) 213.4 492.95 T
3 F
( is assumed.) 285.36 492.95 T
1.18 (The pairs are mated in order) 135.65 466.95 P
1.18 (, odd row with the next even row) 276.62 466.95 P
1.18 (. If the number of) 442.66 466.95 P
3.35 (rows in the matrix) 135.65 452.95 P
2 F
8.05 (OldChrom) 239.67 452.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 452.95 P
-0.12 (population should therefore be or) 135.65 438.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 438.95 P
0.8 (This can be achieved by using the function) 135.65 424.95 P
2 F
1.92 (ranking) 350.55 424.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 424.95 P
2.71 (each chromosome and a selection function \050) 135.65 410.95 P
2 F
6.52 (select) 363.11 410.95 P
3 F
2.71 (,) 406.28 410.95 P
2 F
6.52 (sus) 414.99 410.95 P
3 F
2.71 ( or) 436.58 410.95 P
2 F
6.52 (rws) 458 410.95 P
3 F
2.71 (\051 to select) 479.59 410.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 396.95 T
2 F
(xov) 135.65 370.95 T
3 F
(sh is a low-level crossover function normally called by) 157.24 370.95 T
2 F
(recombin) 423.38 370.95 T
3 F
(.) 480.95 370.95 T
1 16 Q
(Algorithm) 117.65 342.29 T
3 12 Q
1.5 (Shuf) 135.65 324.95 P
1.5 (\337e crossover is single-point crossover \050see) 158.09 324.95 P
2 F
3.6 (xovsp) 373.6 324.95 P
3 F
1.5 (\051, but before the bits are) 409.58 324.95 P
1.15 (exchanged, they are randomly shuf) 135.65 310.95 P
1.15 (\337ed in both parents. After recombination, the) 308.23 310.95 P
1.44 (bits in the of) 135.65 296.95 P
1.44 (fspring are unshuf) 200.04 296.95 P
1.44 (\337ed. This removes positional bias as the bits are) 289.97 296.95 P
(randomly reassigned each time crossover is performed [1].) 135.65 282.95 T
2 F
(xov) 135.65 256.95 T
3 F
(sh calls) 157.24 256.95 T
2 F
(xovmp) 195.88 256.95 T
3 F
( with the appropriate parameters.) 231.86 256.95 T
1 16 Q
(See Also) 117.65 234.29 T
2 12 Q
(xovshrs) 135.65 216.95 T
3 F
(,) 186.02 216.95 T
2 F
(xovsp) 192.02 216.95 T
3 F
(,) 228 216.95 T
2 F
(xovdp) 233.99 216.95 T
3 F
(,) 269.97 216.95 T
2 F
(xovmp) 275.97 216.95 T
3 F
(,) 311.95 216.95 T
2 F
(recombin) 317.95 216.95 T
3 F
(,) 375.52 216.95 T
2 F
(select) 381.51 216.95 T
1 16 Q
(Refer) 117.65 194.29 T
(ence) 155.53 194.29 T
3 12 Q
-0.28 ([1] R. A. Caruana, L. A. Eshelman, J. D. Schaf) 135.65 176.95 P
-0.28 (fer) 358.39 176.95 P
-0.28 (, \322Representation and hidden bias) 371.23 176.95 P
1.86 (II: Eliminating de\336ning length bias in genetic search via shuf) 135.65 162.95 P
1.86 (\337e crossover\323, In) 445.66 162.95 P
0 F
0.3 (Eleventh International Joint Confer) 135.65 148.95 P
0.3 (ence on Arti\336cial Intelligence) 307.67 148.95 P
3 F
0.3 (, N. S. Sridharan) 450.8 148.95 P
(\050Ed.\051, V) 135.65 134.95 T
(ol. 1, pp. 750-755, Mor) 173.07 134.95 T
(gan Kaufmann Publishers, 1989.) 284.79 134.95 T
FMENDPAGE
%%EndPage: "49" 50
%%Page: "50" 50
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-50) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovshrs) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Shuf) 135.65 674.95 T
(\337e crossover with reduced surrogate) 158.09 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovshrs\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
6.55 (xov) 135.65 588.95 P
3 F
2.73 (shrs performs shuf) 157.24 588.95 P
2.73 (\337e crossover with reduced surrogates between pairs of) 251.75 588.95 P
2.78 (individuals contained in the current population,) 135.65 574.95 P
2 F
6.66 (OldChrom) 382.48 574.95 P
3 F
2.78 (, according to the) 440.05 574.95 P
5.65 (crossover probability) 135.65 560.95 P
5.65 (,) 242.12 560.95 P
2 F
13.57 (XOVR) 253.77 560.95 P
3 F
5.65 (, and returns a new population after mating,) 282.55 560.95 P
2 F
10.34 (NewChrom) 135.65 546.95 P
3 F
4.31 (. Each row of) 193.22 546.95 P
2 F
10.34 (OldChrom) 278.06 546.95 P
3 F
4.31 ( and) 335.62 546.95 P
2 F
10.34 (NewChrom) 367.56 546.95 P
3 F
4.31 ( corresponds to one) 425.13 546.95 P
(individual. For the chromosomes any representation can be used.) 135.65 532.95 T
2 F
1.74 (XOVR) 135.65 506.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 506.95 P
2 F
1.74 (XOVR) 447.77 506.95 P
3 F
0.72 ( is omitted,) 476.56 506.95 P
(empty or) 135.65 492.95 T
2 F
(NaN,) 181.62 492.95 T
(XOVR = 0.7) 213.4 492.95 T
3 F
( is assumed.) 285.36 492.95 T
1.18 (The pairs are mated in order) 135.65 466.95 P
1.18 (, odd row with the next even row) 276.62 466.95 P
1.18 (. If the number of) 442.66 466.95 P
3.35 (rows in the matrix) 135.65 452.95 P
2 F
8.05 (OldChrom) 239.67 452.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 452.95 P
-0.12 (population should therefore be or) 135.65 438.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 438.95 P
0.8 (This can be achieved by using the function) 135.65 424.95 P
2 F
1.92 (ranking) 350.55 424.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 424.95 P
2.71 (each chromosome and a selection function \050) 135.65 410.95 P
2 F
6.52 (select) 363.11 410.95 P
3 F
2.71 (,) 406.28 410.95 P
2 F
6.52 (sus) 414.99 410.95 P
3 F
2.71 ( or) 436.58 410.95 P
2 F
6.52 (rws) 458 410.95 P
3 F
2.71 (\051 to select) 479.59 410.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 396.95 T
2 F
(xov) 135.65 370.95 T
3 F
(shrs is a low-level crossover function normally called by) 157.24 370.95 T
2 F
(recombin) 432.04 370.95 T
3 F
(.) 489.61 370.95 T
1 16 Q
(Algorithm) 117.65 342.29 T
3 12 Q
(For shuf) 135.65 324.95 T
(\337e crossover algorithm see) 175.74 324.95 T
2 F
(xovsh) 307.64 324.95 T
3 F
(.) 343.63 324.95 T
3.35 (The) 135.65 298.95 P
0 F
3.35 (r) 160.65 298.95 P
3.35 (educed surr) 164.87 298.95 P
3.35 (ogate) 224.74 298.95 P
3 F
3.35 ( operator constrains crossover to always produce new) 251.39 298.95 P
0.99 (individuals wherever possible. This is implemented by restricting the location of) 135.65 284.95 P
1.41 (crossover points such that crossover points only occur where gene values dif) 135.65 270.95 P
1.41 (fer) 518.34 270.95 P
([1].) 135.65 256.95 T
2 F
(xovshrs) 135.65 230.95 T
3 F
( calls) 186.02 230.95 T
2 F
(xovmp) 214 230.95 T
3 F
( with the appropriate parameters.) 249.98 230.95 T
1 16 Q
(See Also) 117.65 208.29 T
2 12 Q
(xovsh) 135.65 190.95 T
3 F
(,) 171.63 190.95 T
2 F
(xovsprs) 177.62 190.95 T
3 F
(,) 228 190.95 T
2 F
(xovdprs) 233.99 190.95 T
3 F
(,) 284.37 190.95 T
2 F
(xovmp) 290.36 190.95 T
3 F
(,) 326.34 190.95 T
2 F
(recombin) 332.34 190.95 T
3 F
(,) 389.91 190.95 T
2 F
(select) 395.9 190.95 T
1 16 Q
(Refer) 117.65 168.29 T
(ence) 155.53 168.29 T
3 12 Q
1.31 ([1] L. Booker) 135.65 150.95 P
1.31 (, \322Improving search in genetic algorithms,\323 In) 203.4 150.95 P
0 F
1.31 ( Genetic Algorithms) 432.42 150.95 P
5.64 (and Simulated Annealing) 135.65 136.95 P
3 F
5.64 (, L. Davis \050Ed.\051, pp. 61-73, Mor) 268.2 136.95 P
5.64 (gan Kaufmann) 455.06 136.95 P
(Publishers, 1987.) 135.65 122.95 T
FMENDPAGE
%%EndPage: "50" 51
%%Page: "51" 51
595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-51) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovsp) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Single-point crossover) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovsp\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
2.04 (xov) 135.65 588.95 P
3 F
0.85 (sp performs single-point crossover between pairs of individuals contained in) 157.24 588.95 P
0.18 (the current population,) 135.65 574.95 P
2 F
0.44 (OldChrom) 248.12 574.95 P
3 F
0.18 (, according to the crossover probability) 305.69 574.95 P
0.18 (,) 493.69 574.95 P
2 F
0.44 (XOVR) 499.86 574.95 P
3 F
0.18 (,) 528.65 574.95 P
0.77 (and returns a new population after mating,) 135.65 560.95 P
2 F
1.85 (NewChrom) 347.57 560.95 P
3 F
0.77 (.) 405.14 560.95 P
2 F
1.85 (OldChrom) 411.91 560.95 P
3 F
0.77 ( contains the) 469.48 560.95 P
0.96 (chromosomes of the current population, each row corresponds to one individual.) 135.65 546.95 P
(For the chromosomes any representation can be used.) 135.65 532.95 T
2 F
1.74 (XOVR) 135.65 506.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 506.95 P
2 F
1.74 (XOVR) 447.77 506.95 P
3 F
0.72 ( is omitted,) 476.56 506.95 P
(empty or) 135.65 492.95 T
2 F
(NaN,) 181.62 492.95 T
(XOVR = 0.7) 213.4 492.95 T
3 F
( is assumed.) 285.36 492.95 T
1.18 (The pairs are mated in order) 135.65 466.95 P
1.18 (, odd row with the next even row) 276.62 466.95 P
1.18 (. If the number of) 442.66 466.95 P
3.35 (rows in the matrix) 135.65 452.95 P
2 F
8.05 (OldChrom) 239.67 452.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 452.95 P
-0.12 (population should therefore be or) 135.65 438.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 438.95 P
0.8 (This can be achieved by using the function) 135.65 424.95 P
2 F
1.92 (ranking) 350.55 424.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 424.95 P
2.71 (each chromosome and a selection function \050) 135.65 410.95 P
2 F
6.52 (select) 363.11 410.95 P
3 F
2.71 (,) 406.28 410.95 P
2 F
6.52 (sus) 414.99 410.95 P
3 F
2.71 ( or) 436.58 410.95 P
2 F
6.52 (rws) 458 410.95 P
3 F
2.71 (\051 to select) 479.59 410.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 396.95 T
2 F
(xovsp) 135.65 370.95 T
3 F
( is a low-level crossover function normally called by) 171.63 370.95 T
2 F
(recombin) 427.11 370.95 T
3 F
(.) 484.68 370.95 T
1 16 Q
(Algorithm) 117.65 342.29 T
3 12 Q
(Consider the following two binary strings of the same length:) 135.65 324.95 T
2 F
(A1 = [1 1 0 1 0 1]) 135.65 304.95 T
(A2 = [1 0 1 0 1 0]) 135.65 290.95 T
3 F
0.1 (Single-point crossover involves selecting uniformly at random an integer position,) 135.65 270.95 P
0 F
1.68 (k) 135.65 256.95 P
3 F
1.68 (, between 1 and) 140.97 256.95 P
2 F
4.03 (\050length\050A1\051-1\051) 225.95 256.95 P
3 F
1.68 (, and swapping the variables in positions) 326.7 256.95 P
0 F
0.9 (k+1) 135.65 242.95 P
3 F
0.9 ( to) 155.07 242.95 P
2 F
2.16 (length\050A1\051) 172.19 242.95 P
3 F
0.9 ( between) 244.15 242.95 P
2 F
2.16 (A1) 291.91 242.95 P
3 F
0.9 ( and) 306.3 242.95 P
2 F
2.16 (A2) 331.41 242.95 P
3 F
0.9 (. Thus if the crossover position) 345.8 242.95 P
0 F
0.9 (k) 502.77 242.95 P
3 F
0.9 ( = 3,) 508.09 242.95 P
(then) 135.65 228.95 T
2 F
(A1) 159.3 228.95 T
3 F
( and) 173.69 228.95 T
2 F
(A2) 197.01 228.95 T
3 F
( would become:) 211.4 228.95 T
2 F
(A1\325 = [1 1 0 0 1 0]) 135.65 208.95 T
(A2\325 = [1 0 1 1 0 1]) 135.65 194.95 T
(xovsp) 135.65 174.95 T
3 F
( calls) 171.63 174.95 T
2 F
(xovmp) 199.61 174.95 T
3 F
( with the appropriate parameters.) 235.59 174.95 T
1 16 Q
(See Also) 117.65 152.29 T
2 12 Q
(xovsprs) 135.65 134.95 T
3 F
(,) 186.02 134.95 T
2 F
(xovdp) 192.02 134.95 T
3 F
(,) 228 134.95 T
2 F
(xovsh) 233.99 134.95 T
3 F
(,) 269.97 134.95 T
2 F
(xovmp) 275.97 134.95 T
3 F
(,) 311.95 134.95 T
2 F
(recombin) 317.95 134.95 T
3 F
(,) 375.52 134.95 T
2 F
(select) 381.51 134.95 T
FMENDPAGE
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595.3 841.9 0 FMBEGINPAGE
0 10 Q
0 X
0 K
(Genetic Algorithm Toolbox User\325s Guide) 63.65 61.61 T
(2-52) 513.33 61.29 T
63.65 716.95 531.65 726.95 C
63.65 725.95 531.65 725.95 2 L
1 H
2 Z
0 X
0 K
N
-8.35 24.95 603.65 816.95 C
1 18 Q
0 X
0 K
(xovsprs) 63.65 732.95 T
1 16 Q
(Purpose) 117.65 692.29 T
3 12 Q
(Single-point reduced surrogate crossover) 135.65 674.95 T
1 16 Q
(Synopsis) 117.65 646.29 T
2 12 Q
(NewChrom = xovsprs\050OldChrom, XOVR\051) 135.65 628.95 T
1 16 Q
(Description) 117.65 606.29 T
2 12 Q
8.61 (xov) 135.65 588.95 P
3 F
3.59 (sprs performs single-point reduced surrogate crossover between pairs of) 157.24 588.95 P
2.78 (individuals contained in the current population,) 135.65 574.95 P
2 F
6.66 (OldChrom) 382.48 574.95 P
3 F
2.78 (, according to the) 440.05 574.95 P
5.65 (crossover probability) 135.65 560.95 P
5.65 (,) 242.12 560.95 P
2 F
13.57 (XOVR) 253.77 560.95 P
3 F
5.65 (, and returns a new population after mating,) 282.55 560.95 P
2 F
5.91 (NewChrom) 135.65 546.95 P
3 F
2.46 (.) 193.22 546.95 P
2 F
5.91 (OldChrom) 201.68 546.95 P
3 F
2.46 ( contains the chromosomes of the current population,) 259.24 546.95 P
0.6 (each row corresponds to one individual. For the chromosomes any representation) 135.65 532.95 P
(can be used.) 135.65 518.95 T
2 F
1.74 (XOVR) 135.65 492.95 P
3 F
0.72 ( is an optional parameter specifying the crossover rate. If) 164.43 492.95 P
2 F
1.74 (XOVR) 447.77 492.95 P
3 F
0.72 ( is omitted,) 476.56 492.95 P
(empty or) 135.65 478.95 T
2 F
(NaN,) 181.62 478.95 T
(XOVR = 0.7) 213.4 478.95 T
3 F
( is assumed.) 285.36 478.95 T
1.18 (The pairs are mated in order) 135.65 452.95 P
1.18 (, odd row with the next even row) 276.62 452.95 P
1.18 (. If the number of) 442.66 452.95 P
3.35 (rows in the matrix) 135.65 438.95 P
2 F
8.05 (OldChrom) 239.67 438.95 P
3 F
3.35 ( is odd then the last row is not mated. The) 297.24 438.95 P
-0.12 (population should therefore be or) 135.65 424.95 P
-0.12 (ganised into contiguous pairs that require mating.) 294.84 424.95 P
0.8 (This can be achieved by using the function) 135.65 410.95 P
2 F
1.92 (ranking) 350.55 410.95 P
3 F
0.8 ( to assign a \336tness level to) 400.93 410.95 P
2.71 (each chromosome and a selection function \050) 135.65 396.95 P
2 F
6.52 (select) 363.11 396.95 P
3 F
2.71 (,) 406.28 396.95 P
2 F
6.52 (sus) 414.99 396.95 P
3 F
2.71 ( or) 436.58 396.95 P
2 F
6.52 (rws) 458 396.95 P
3 F
2.71 (\051 to select) 479.59 396.95 P
(individuals with a probability related to their \336tness in the current population.) 135.65 382.95 T
2 F
(xovsp) 135.65 356.95 T
3 F
(rs is a low-level crossover function normally called by) 171.63 356.95 T
2 F
(recombin) 435.77 356.95 T
3 F
(.) 493.34 356.95 T
1 16 Q
(Algorithm) 117.65 328.29 T
3 12 Q
(For single-point crossover see) 135.65 310.95 T
2 F
(xovsp) 282.88 310.95 T
3 F
(.) 318.86 310.95 T
3.35 (The) 135.65 290.95 P
0 F
3.35 (r) 160.65 290.95 P
3.35 (educed surr) 164.87 290.95 P
3.35 (ogate) 224.74 290.95 P
3 F
3.35 ( operator constrains crossover to always produce new) 251.39 290.95 P
0.99 (individuals wherever possible. This is implemented by restricting the location of) 135.65 276.95 P
1.41 (crossover points such that crossover points only occur where gene values dif) 135.65 262.95 P
1.41 (fer) 518.34 262.95 P
([1].) 135.65 248.95 T
2 F
(xovsprs) 135.65 228.95 T
3 F
( calls) 186.02 228.95 T
2 F
(xovmp) 214 228.95 T
3 F
( with the appropriate parameters.) 249.98 228.95 T
1 16 Q
(See Also) 117.65 206.29 T
2 12 Q
(xovsp) 135.65 188.95 T
3 F
(,) 171.63 188.95 T
2 F
(xovdp) 177.62 188.95 T
3 F
(,) 213.6 188.95 T
2 F
(xovdprs) 219.6 188.95 T
3 F
(,) 269.97 188.95 T
2 F
(xovsh) 275.97 188.95 T
3 F
(,) 311.95 188.95 T
2 F
(xovshrs) 317.95 188.95 T
3 F
(,) 368.32 188.95 T
2 F
(xovmp) 374.32 188.95 T
3 F
(,) 410.3 188.95 T
2 F
(recombin) 416.29 188.95 T
3 F
(,) 473.86 188.95 T
2 F
(select) 479.86 188.95 T
1 16 Q
(Refer) 117.65 166.29 T
(ence) 155.53 166.29 T
3 12 Q
1.31 ([1] L. Booker) 135.65 148.95 P
1.31 (, \322Improving search in genetic algorithms,\323 In) 203.4 148.95 P
0 F
1.31 (Genetic Algorithms) 436.73 148.95 P
5.64 (and Simulated Annealing) 135.65 134.95 P
3 F
5.64 (, L. Davis \050Ed.\051, pp. 61-73, Mor) 268.2 134.95 P
5.64 (gan Kaufmann) 455.06 134.95 P
(Publishers, 198) 135.65 120.95 T
2 F
(7.) 209.61 120.95 T
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