{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dams valley management\n", "\n", "Consider two dams in the same valley. These two dams are connected together, as we suppose that the water turbined by the first dam is an input of the second dam. The goal of this notebook is to show how to use the Stochastic Dual Dynamic Programming (SDDP) algorithm to find how to manage optimally these two dams. \n", "\n", "## Mathematical formulation:\n", "\n", "Assume that we have a water inflow $W_t$ which arrives in the first dam between $t$ and $t+1$. This dam turbines a quantity $U_t^1$ of water, and spill a quantity $S_t^1$. \n", "\n", "Its dynamic is: \n", "\n", "$$X_{t+1}^1 = X_{t}^1 + W^t - U_t^1 - S_t^1$$\n", "\n", "The turbined flow arrives in the second dam, which turbines a quantity $U_t^2$ and spills a quantity $S_t^2$. So its dynamic is:\n", "\n", "$$X_{t+1}^2 = X_{t}^2 + U_t^1 + S_t^1 - U_t^2 - S_t^2$$\n", "\n", "Thus, we could define the state:\n", "$$X_t = (X_t^1, X_t^2)$$\n", "\n", "and the control:\n", "$$U_t = (U_t^1, U_t^2, S_t^1, S_t^2)$$\n", "\n", "The two turbines produce a quantity of electricity proportionnal to the flow turbined, and this electricity is sold into the market at a price $c_t$. So we gain at each timestep:\n", "\n", "$$C_t(X_t, U_t) = c_t (U_t^1 + U_t^2)$$\n", "\n", "Here, we suppose that costs are negative, as we sell electricity onto the network. \n", "\n", "We want to maximize our expected gains, so we minimize the following quantity:\n", "\n", "$$J = \\mathbb{E} \\left[ \\sum_{i=1}^{T_f} C_t(X_t, U_t) \\right]$$ \n", "\n", "## Problem formulation: \n", "\n", "First, we need to import some modules: " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[1m\u001b[34mINFO: Recompiling stale cache file /home/fpacaud/.julia/lib/v0.5/PyPlot.ji for module PyPlot.\n", "\u001b[0m" ] } ], "source": [ "using JuMP, Clp, StochDynamicProgramming, PyPlot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "JuMP is the julia module for Mathematical Programming, \n", " Clp the module calling a linear solver (can be replaced by CPLEX or Gurobi), \n", " StochDynamicProgramming is a SDDP module in Julia, \n", " PyPlot is used here to plot the results \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Constants definition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we define the constants of this problem: " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Number of timesteps (as we manage the dams over a year, it is equal to the number of weeks):\n", "TF = 52\n", "\n", "# Capacity of dams: \n", "VOLUME_MAX = 100\n", "VOLUME_MIN = 0\n", "\n", "# Specify the maximum flow that could be turnined: \n", "CONTROL_MAX = round(Int, .4/7. * VOLUME_MAX) + 1\n", "CONTROL_MIN = 0\n", "\n", "# Some statistics about aleas (water inflow):\n", "W_MAX = round(Int, .5/7. * VOLUME_MAX)\n", "W_MIN = 0\n", "DW = 1\n", "\n", "T0 = 1\n", "\n", "# Define aleas' space:\n", "N_ALEAS = Int(round(Int, (W_MAX - W_MIN) / DW + 1))\n", "ALEAS = linspace(W_MIN, W_MAX, N_ALEAS);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we generate a random process to simulate the evolution of electricity prices over a year: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "COST = -66*2.7*(1 + .5*(rand(TF) - .5));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could plot the evolution of prices with matplotlib: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(COST, color=\"k\", lw=2)\n", "xlim(0, 53)\n", "xlabel(\"Week\")\n", "ylabel(\"Cost\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Dynamic, costs and aleas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "---\n", "\n", "We could now define the dynamic of our system: " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dynamic (generic function with 1 method)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Define dynamic of the dam:\n", "function dynamic(t, x, u, w)\n", " return [x[1] - u[1] - u[3] + w[1], x[2] - u[2] - u[4] + u[1] + u[3]]\n", "end\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the cost at time $t$:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "cost_t (generic function with 1 method)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Define cost corresponding to each timestep:\n", "function cost_t(t, x, u, w)\n", " return COST[t] * (u[1] + u[2])\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we build a function to simulate the evolution of water inflow over one year. We aim to have less water in summer than in winter. \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "build_scenarios" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"Build aleas probabilities for each month.\"\"\"\n", "function build_aleas()\n", " aleas = zeros(N_ALEAS, TF)\n", "\n", " # take into account seasonality effects:\n", " unorm_prob = linspace(1, N_ALEAS, N_ALEAS)\n", " proba1 = unorm_prob / sum(unorm_prob)\n", " proba2 = proba1[N_ALEAS:-1:1]\n", "\n", " for t in 1:TF\n", " aleas[:, t] = (1 - sin(pi*t/TF)) * proba1 + sin(pi*t/TF) * proba2\n", " end\n", " return aleas\n", "end\n", "\n", "\n", "\"\"\"Build an admissible scenario for water inflow.\"\"\"\n", "function build_scenarios(n_scenarios::Int64, probabilities)\n", " scenarios = zeros(n_scenarios, TF)\n", "\n", " for scen in 1:n_scenarios\n", " for t in 1:TF\n", " Pcum = cumsum(probabilities[:, t])\n", "\n", " n_random = rand()\n", " prob = findfirst(x -> x > n_random, Pcum)\n", " scenarios[scen, t] = prob\n", " end\n", " end\n", " return scenarios\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could test our generator with one scenario: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0,53)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scenario = build_scenarios(1, build_aleas());\n", "\n", "plot(scenario', lw=2, color=\"blue\")\n", "xlabel(\"Week\")\n", "ylabel(\"Water inflow\")\n", "xlim(0, 53)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "To use these scenarios in SDDP, we must use a discrete distribution for each timestep. The following function generates n_scenarios and returns a vector of NoiseLaw corresponding to the evolution of aleas distribution along the time: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "generate_probability_laws" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"Build probability distribution at each timestep.\n", "\n", "Return a Vector{NoiseLaw}\"\"\"\n", "function generate_probability_laws(n_scenarios)\n", " aleas = build_scenarios(n_scenarios, build_aleas())\n", "\n", " laws = Vector{NoiseLaw}(TF-1)\n", "\n", " # uniform probabilities:\n", " proba = 1/n_scenarios*ones(n_scenarios)\n", "\n", " for t=1:TF-1\n", " laws[t] = NoiseLaw(aleas[:, t], proba)\n", " end\n", "\n", " return laws\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Solving the problem with SDDP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SDDP model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generate 10 scenarios and fit a probability distribution at each timestep: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "N_SCENARIO = 10\n", "aleas = generate_probability_laws(10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "We define the bounds over the state and the control:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "x_bounds = [(VOLUME_MIN, VOLUME_MAX), (VOLUME_MIN, VOLUME_MAX)];\n", "u_bounds = [(CONTROL_MIN, CONTROL_MAX), (CONTROL_MIN, CONTROL_MAX), (0, 100), (0, 100)];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the initial position $X_0$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Array{Int64,1}:\n", " 50\n", " 50" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0 = [50, 50]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We build an instance of LinearDynamicLinearCostSPModel to translate our problem in SDDP: " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "model = LinearSPModel(TF, # number of timestep\n", " u_bounds, # control bounds\n", " x0, # initial state\n", " cost_t, # cost function\n", " dynamic, # dynamic function \n", " aleas);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We add bounds to state:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Array{Tuple{Int64,Int64},1}:\n", " (0,100)\n", " (0,100)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "set_state_bounds(model, x_bounds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### SDDP parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the parameters of the algorithm: " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# LP solver: \n", "solver = ClpSolver()\n", "# Set tolerance at 0.1% for convergence: \n", "EPSILON = 0.001\n", "# Maximum iterations: \n", "MAX_ITER = 20\n", "\n", "\n", "params = SDDPparameters(solver,\n", " passnumber=10,\n", " gap=EPSILON,\n", " compute_ub=5, \n", " montecarlo_in_iter=100, \n", " max_iterations=MAX_ITER);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### SDDP solving\n", "\n", "We launch SDDP to solve the Stochastic Problem: " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SDDP Interface initialized\n", "Initialize cuts\n", "Starting SDDP iterations\n", "Compute upper-bound with 100 scenarios...\n", "Compute upper-bound with 100 scenarios...\n", "Compute upper-bound with 100 scenarios...\n", "Compute upper-bound with 100 scenarios...\n", "Compute final upper-bound with 1000 scenarios...\n", "\n", "############################################################\n", "SDDP CONVERGENCE\n", "- Exact lower bound: -1.0147e+05 [Gap < -0.49%]\n", "- Estimation of upper-bound: -1.0126e+05\n", "- Upper-bound's s.t.d: 4.6818e+03\n", "- Confidence interval (95%): [-1.0155e+05 , -1.0097e+05]\n", "############################################################\n", " 70.956267 seconds (16.29 M allocations: 1.676 GB, 0.79% gc time)\n" ] } ], "source": [ "# this function build a SDDPInterface object, and run SDDP onto it. Then, it renders sddp\n", "sddp = @time solve_SDDP(model, params, 1);" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We plot evolution of lower-bound: \n", "\n", "plot(sddp.stats.upper_bounds, lw=2, c=\"darkred\", lw=2)\n", "\n", "plot(sddp.stats.lower_bounds, lw=2, c=\"darkblue\", lw=2)\n", "grid()\n", "xlabel(\"Number of iterations\")\n", "ylabel(\"Lower bound\");" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# and evolution of execution time: \n", "plot(sddp.stats.exectime, lw=2, c=\"k\")\n", "grid()\n", "\n", "xlabel(\"Number of iterations\")\n", "ylabel(\"Time (s)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm returns the bellman functions (V) and a vector of JuMP.Model used to approximate these functions with linear cuts. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Test SDDP with an example " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input scenario" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We suppose given a scenario of inflows: \n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1×52 Array{Float64,2}:\n", " 7.0 7.0 8.0 3.0 1.0 1.0 3.0 4.0 … 7.0 7.0 4.0 3.0 2.0 8.0 7.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alea_year = Array([7.0 7.0 8.0 3.0 1.0 1.0 3.0 4.0 3.0 2.0 6.0 5.0 2.0 6.0 4.0 7.0 3.0 4.0 1.0 1.0 6.0 2.0 2.0 8.0 3.0 7.0 3.0 1.0 4.0 2.0 4.0 1.0 3.0 2.0 8.0 1.0 5.0 5.0 2.0 1.0 6.0 7.0 5.0 1.0 7.0 7.0 7.0 4.0 3.0 2.0 8.0 7.0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We store this scenario as a 3D array, so it could be used to compute a forward-pass:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "aleas = zeros(52, 1, 1)\n", "aleas[:, 1, 1] = alea_year;\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### SDDP simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have only one scenario, so we set the forwardPassNumber equal to 1: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the optimal control with a forward simulation: " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "costs, stocks = StochDynamicProgramming.simulate(sddp, 100);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Results \n", "\n", "The cost is: " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SDDP cost: -99495.47365243685\n" ] } ], "source": [ "SDDP_COST = costs[1]\n", "println(\"SDDP cost: \", SDDP_COST)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the optimal solution is: " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(stocks[:, :, 1])\n", "plot(stocks[:, :, 2])\n", "xlabel(\"Week\")\n", "ylabel(\"Stocks\")\n", "grid()\n", "ylim(0, 100)\n", "xlim(0, 53);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Comparison with the deterministic solution \n", "To check the results given by SDDP, we solve the deterministic problem with JuMP: " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal\n", "LP value: -104297.05688368101\n" ] } ], "source": [ "m = Model(solver=solver)\n", "\n", "\n", "@variable(m, VOLUME_MIN <= x1[1:(TF+1)] <= VOLUME_MAX)\n", "@variable(m, VOLUME_MIN <= x2[1:(TF+1)] <= VOLUME_MAX)\n", "@variable(m, CONTROL_MIN <= u1[1:TF] <= CONTROL_MAX)\n", "@variable(m, CONTROL_MIN <= u2[1:TF] <= CONTROL_MAX)\n", "@variable(m, u3[1:TF] >= 0)\n", "@variable(m, u4[1:TF] >= 0)\n", "\n", "@objective(m, Min, sum(COST[i]*(u1[i] + u2[i]) for i = 1:TF))\n", "\n", "for i in 1:TF\n", " @constraint(m, x1[i+1] - x1[i] + u1[i] + u3[i] - alea_year[i] == 0)\n", " @constraint(m, x2[i+1] - x2[i] + u2[i] + u4[i] - u1[i] - u3[i] == 0)\n", "end\n", "\n", "@constraint(m, x1[1] == x0[1])\n", "@constraint(m, x2[1] == x0[2])\n", "\n", "status = solve(m)\n", "println(status)\n", "\n", "LP_COST = getobjectivevalue(m)\n", "println(\"LP value: \", LP_COST)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we plot the evolution of the stocks:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(getvalue(x1))\n", "plot(getvalue(x2))\n", "xlabel(\"Week\")\n", "ylabel(\"Stocks\")\n", "grid()\n", "ylim(0, 100)\n", "xlim(0, 53);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution given by the solver is more optimistic, as it assumes that the future is known in advance. \n", "\n", "If we consider the costs, we have a discrepancy between the two solutions :\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.046037571669919765" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "abs((LP_COST - SDDP_COST)/LP_COST)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.5.2", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }