Stochastic-GEP-multi-stage-nb.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Packages\n",
    "using JuMP\n",
    "using HiGHS\n",
    "using CSV\n",
    "using DataFrames\n",
    "using Plots\n",
    "using StatsPlots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# include the helper functions\n",
    "include(\"functions-to-import-data.jl\");\n",
    "include(\"functions-to-export-data.jl\");\n",
    "include(\"functions-to-plot-results.jl\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# include the file with the functions for the stochastic GEP model\n",
    "include(\"Stochastic-GEP-multi-stage.jl\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Folders names\n",
    "input_folder  = joinpath(@__DIR__, \"inputs/multi-stage\");\n",
    "output_folder = joinpath(@__DIR__, \"outputs/multi-stage\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# read the data\n",
    "sets, params = read_multi_stage_data(input_folder);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running HiGHS 1.7.0 (git hash: 50670fd4c): Copyright (c) 2024 HiGHS under MIT licence terms\n",
      "Coefficient ranges:\n",
      "  Matrix [1e-01, 4e+02]\n",
      "  Cost   [1e-02, 2e+04]\n",
      "  Bound  [8e+02, 1e+03]\n",
      "  RHS    [8e+02, 1e+03]\n",
      "Presolving model\n",
      "1296 rows, 1312 cols, 4068 nonzeros  0s\n",
      "1296 rows, 1312 cols, 4068 nonzeros  0s\n",
      "\n",
      "Solving MIP model with:\n",
      "   1296 rows\n",
      "   1312 cols (0 binary, 16 integer, 0 implied int., 1296 continuous)\n",
      "   4068 nonzeros\n",
      "\n",
      "        Nodes      |    B&B Tree     |            Objective Bounds              |  Dynamic Constraints |       Work      \n",
      "     Proc. InQueue |  Leaves   Expl. | BestBound       BestSol              Gap |   Cuts   InLp Confl. | LpIters     Time\n",
      "\n",
      "         0       0         0   0.00%   0               inf                  inf        0      0      0         0     0.0s\n",
      " S       0       0         0   0.00%   0               390270.361008    100.00%        0      0      0         0     0.0s\n",
      " R       0       0         0   0.00%   383445.989824   387616.665156      1.08%        0      0      0       670     0.0s\n",
      " S       0       0         0   0.00%   383606.212482   385628.171531      0.52%       35     10      2       684     0.1s\n",
      " S       0       0         0   0.00%   383667.451435   384670.765635      0.26%       49     13      2       689     0.1s\n",
      " L       0       0         0   0.00%   383684.976824   383713.359739      0.01%       72     19      2       701     0.2s\n",
      "\n",
      "56.2% inactive integer columns, restarting\n",
      "Model after restart has 1296 rows, 1303 cols (0 bin., 7 int., 0 impl., 1296 cont.), and 3528 nonzeros\n",
      "\n",
      "         0       0         0   0.00%   383685.057125   383713.359739      0.01%       12      0      0       924     0.2s\n",
      "         0       0         0   0.00%   383685.057125   383713.359739      0.01%       12     12      0       937     0.2s\n",
      "\n",
      "Solving report\n",
      "  Status            Optimal\n",
      "  Primal bound      383713.359739\n",
      "  Dual bound        383713.359739\n",
      "  Gap               0%\n",
      "  Solution status   feasible\n",
      "                    383713.359739 (objective)\n",
      "                    0 (bound viol.)\n",
      "                    2.22044604925e-16 (int. viol.)\n",
      "                    0 (row viol.)\n",
      "  Timing            0.26 (total)\n",
      "                    0.01 (presolve)\n",
      "                    0.00 (postsolve)\n",
      "  Nodes             3\n",
      "  LP iterations     1275 (total)\n",
      "                    78 (strong br.)\n",
      "                    35 (separation)\n",
      "                    449 (heuristics)\n",
      "objective_value(model) = 383713.359739229\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "A JuMP Model\n",
       "Minimization problem with:\n",
       "Variables: 1456\n",
       "Objective function type: AffExpr\n",
       "`AffExpr`-in-`MathOptInterface.EqualTo{Float64}`: 288 constraints\n",
       "`AffExpr`-in-`MathOptInterface.LessThan{Float64}`: 1152 constraints\n",
       "`VariableRef`-in-`MathOptInterface.GreaterThan{Float64}`: 1456 constraints\n",
       "`VariableRef`-in-`MathOptInterface.LessThan{Float64}`: 288 constraints\n",
       "`VariableRef`-in-`MathOptInterface.Integer`: 16 constraints\n",
       "Model mode: AUTOMATIC\n",
       "CachingOptimizer state: ATTACHED_OPTIMIZER\n",
       "Solver name: HiGHS\n",
       "Names registered in the model: c_balance, c_max_prod, e_accumulated_investment, v_ens, v_investment, v_production"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = create_and_solve_model(sets, params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plotly()\n",
    "plot_multi_stage_investment(model, params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "save_multi_stage_results_to_csv(output_folder, model)"
   ]
  }
 ],
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