{
"cells": [
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import IPython.core.display as di\n",
"\n",
"# This line will hide code by default when the notebook is exported as HTML\n",
"di.display_html('', raw=True)\n",
"\n",
"# This line will add a button to toggle visibility of code blocks, for use with the HTML export version\n",
"di.display_html('''''', raw=True)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# -*- coding: utf-8 -*-\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.mlab as pylab\n",
"import numpy as np\n",
"import pandas as pd\n",
"from sklearn import linear_model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Génération des données\n",
"Pour cet exemple, on génère aléatoirement 20 états de circulation caractérisés par la densité et la vitesse moyenne. Les données sont présentées sous forme de tableau ci-dessous. "
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" debit (veh/h) densite (veh/km) vitesse {km/h}\n",
"0 3991.580094 52.503427 76.025135\n",
"1 4615.625484 75.817296 60.878266\n",
"2 2978.160642 89.047431 33.444655\n",
"3 3353.346365 53.670748 62.479963\n",
"4 4005.754661 73.112493 54.788922\n",
"5 3739.091618 98.089442 38.119206\n",
"6 2663.373306 37.965852 70.151812\n",
"7 371.984439 4.388896 84.755814\n",
"8 1758.391393 20.078348 87.576498\n",
"9 1207.490117 133.325915 9.056680\n",
"10 1045.490490 139.748983 7.481203\n",
"11 945.317788 13.442487 70.323130\n",
"12 3798.856495 110.023863 34.527569\n",
"13 353.344129 3.830284 92.250114\n",
"14 3692.637239 100.577515 36.714341\n",
"15 581.236198 5.819225 99.882071\n",
"16 3728.428032 82.246436 45.332396\n",
"17 2287.906376 29.286290 78.122098\n",
"18 3587.110289 100.913341 35.546443\n",
"19 3424.903953 64.926014 52.750873\n"
]
}
],
"source": [
"kj = 150.\n",
"vmax = 100.\n",
"greenshieldV = lambda k: vmax*(1-k/kj)\n",
"densities = np.random.random_sample(20)*kj\n",
"speeds = [greenshieldV(k)*(1+0.15*np.random.randn()) for k in densities]\n",
"volumes = [k*v for k,v in zip(densities, speeds)]\n",
"print(pd.DataFrame({'densite (veh/km)': densities, 'vitesse {km/h}': speeds, 'debit (veh/h)': volumes}))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Régression linéaire\n",
"On estime le modèle linéaire de Greenshields pour la relation de la vitesse moyenne en fonction de la densité par régression linéaire (estimateur des moindres carrés). "
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Modèle: v = -0.593663289038 k + 94.7664457668\n",
"Vitesse libre: 94.7664457668\n",
"Densité de congestion: 159.629957784\n"
]
}
],
"source": [
"regr = linear_model.LinearRegression()\n",
"regr.fit(np.array(densities).reshape(-1,1), np.array(speeds))\n",
"a = regr.coef_[0]\n",
"b = regr.intercept_\n",
"linearModel = lambda k: a*k+b\n",
"print('Modèle: v = {} k + {}'.format(a, b))\n",
"print('Vitesse libre: {}'.format(b))\n",
"print('Densité de congestion: {}'.format(-b/a))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Relations bi-variées\n",
"Pour chacune des trois relations bivariées de la vitesse moyenne en fonction de la densité, le débit en fonction de la densité et la vitesse moyenne en fonction du débit, on représente les données et les prédictions du modèle de Greenshields. "
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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V/CzUrl27yt/ntm3bIiJ8++239O/fv3R/YWEh33//Peeee67H8XXr1mXYsGEMGzaMwsJC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\nwyTtG80SGiTpgsxY24hd6yydaIxKL+BESVdv43m2KZr11AV4uLHP5Vz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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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0VdWkfNurATuAJFVdKCLrco4zKd8+SbhHSdVVtdhpx6Kpt5H5W0YG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\nfS9E8pGaF5E84Zx7AXgT+FHC3Y8B3wD6AkfjV4Cdl/SX/oFsa3y+j29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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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3Q3BUmzZwww2wcCFkZcHq1TB6NGzeDNddZ2cYdekC99xjZyDl5vo/hkjLeTDQ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\nkhURERHJaf8fqGqnAKqbkjUAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# v=f(k)\n",
"plt.figure()\n",
"plt.plot(densities, speeds, 'ok', markersize = 4)\n",
"plt.plot([0, -b/a], [linearModel(0), linearModel(-b/a)], label = u'modèle de Greenshields')\n",
"plt.xlabel(u'Densité (véh/km)')\n",
"plt.ylabel('Vitesse moyenne (km/h)')\n",
"#plt.xlim(0,-b/a+10)\n",
"plt.ylim(0,vmax+10)\n",
"plt.grid()\n",
"plt.legend()\n",
"# q=f(k)\n",
"plt.figure()\n",
"plt.plot(densities, volumes, 'ok', markersize = 4)\n",
"plt.plot(np.arange(-b/a+1), [linearModel(k)*k for k in np.arange(-b/a+1)], label = u'modèle de Greenshields')\n",
"plt.xlabel(u'Densité (véh/km)')\n",
"plt.ylabel(u'Débit (véh/h)')\n",
"#plt.xlim(0,-b/a+10)\n",
"plt.ylim(ymin=0)#,max(volumes)+500)\n",
"plt.grid()\n",
"plt.legend()\n",
"# q=f(k)\n",
"plt.figure()\n",
"plt.plot(volumes, speeds, 'ok', markersize = 4)\n",
"plt.plot([linearModel(k)*k for k in np.arange(-b/a+1)], [linearModel(k) for k in np.arange(-b/a+1)], label = u'modèle de Greenshields')\n",
"plt.ylabel(u'Vitesse moyenne (km/h)')\n",
"plt.xlabel(u'Débit (véh/h)')\n",
"plt.xlim(xmin=0)\n",
"plt.ylim(ymin=0)\n",
"plt.grid()\n",
"plt.legend()\n"
]
}
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