run_me.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f1da48b6",
   "metadata": {},
   "source": [
    "<img alt=\"logo_lnmb.jpeg\" src=\"logo_lnmb.jpeg\"/>\n",
    "<center> \n",
    "    <h1>STOCHASTIC PROGRAMMING</h1>\n",
    "    <h3>LNMB Ph.D. Course : 2021-2022</h2>\n",
    "    <h2> Project Report</h2><br> <br>\n",
    "\n",
    "    \n",
    "</center>\n",
    "    <em>Submitted by:</em> Nanda Kishor Panda (<a href=\"n.k.panda@tudelft.nl\">n.k.panda@tudelft.nl</a>), Neda Vahabzad (<a href=\"n.vahabzad@tudelft.nl\">n.vahabzad@tudelft.nl</a>)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ed4895c",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Importing necessary libraries\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e68a2b4b-64c7-4f8b-8dc9-8f47b2bdcd24",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[    0.00] Initializing mpi-sppy\n"
     ]
    }
   ],
   "source": [
    "from helper_functions import *\n",
    "from tabulate import tabulate\n",
    "import pandas as pd\n",
    "from mpisppy.opt.lshaped import LShapedMethod\n",
    "from tqdm import tqdm\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import os\n",
    "# https://mpi-sppy.readthedocs.io/en/latest/examples.html"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf737cad",
   "metadata": {},
   "source": [
    "\n",
    "<span style=\"color:blue;font-weight:800;font-size:30px\">\n",
    "Single discrete random parameter: $\\xi_{1,2,3}$</span>\n",
    "\n",
    "## Deterministic model formulation (MOD1)<br>\n",
    "<center>$\n",
    "\\min_{x\\geq0}{\\left\\{\\underbrace{\\sum_{i=1}^nc_ix_i}_{\\text{investment cost}}+\\underbrace{\\sum_{i=1}^n\\sum_{j=1}^kq_iT_jy_{ij}}_{\\text{operating cost}}\\right\\}}$</center><br>\n",
    "<ul><ul><ul><ul><em>subject to:</em><br></ul></ul></ul></ul>\n",
    "<center>\n",
    "$\n",
    "\\begin{align}\n",
    "&\\sum_{i=1}^n x_i\\geq \\sum_{j=1}^k \\xi_j^{max}\\\\\n",
    "&\\sum_{i=1}^nc_ix_i\\leq c_{max}\\\\\n",
    "&\\sum_{j=1}^ky_{ij}\\leq x_i\\quad \\quad i=\\{1,\\cdots,n\\}\\\\\n",
    "&\\sum_{i=1}^ny_{ij}\\geq \\xi_j \\quad \\quad j=\\{1,\\cdots,k\\}\n",
    "\\end{align}\n",
    "$\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74fbc13d",
   "metadata": {},
   "source": [
    "## Expected value (EV) solution (MOD1)\n",
    "For expected value solution, the expectation of each random parameters is used as input to the deterministic model as shown below:<br>\n",
    "\n",
    "Solve MOD1 with:<br>\n",
    "<ul> <ul> <ul> <ul> $\n",
    "\\begin{align}\n",
    "&\\xi_j = \\bar{\\xi_j}&&\\quad\\quad \\forall \\: j={1,2,3}\\\\\n",
    "\\text{where;}\\\\\n",
    "&\\bar{\\xi_j}=\\mathbb{E}[\\xi_j]=\\sum_{l=1}^3\\xi_j^{(l)}\\mathcal{P}(\\xi_j^{(l)}) &&\\quad\\quad\\forall \\: j={1,2,3}\n",
    "\\end{align}\n",
    "$</ul> </ul> </ul> </ul><br><br>\n",
    "Expected Value (EV):\n",
    "<ul> <ul> <ul> <ul>\n",
    "$\n",
    "EV:=\\min_{x\\geq0}\\left(g(E[\\xi], x)\\right)=g(\\bar{\\xi}, \\bar{x})\\\\\n",
    "\\bar{x}\\text{ is the optimal solution of MOD1 by using }\\xi = \\bar{\\xi}\n",
    "$</ul> </ul> </ul> </ul>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cda2a34",
   "metadata": {},
   "source": [
    "## Expected value of using the EV solution (EEV) (MOD1.1)\n",
    "The expected value of using the EV solution can be calculated using the following equation:<br>\n",
    "\n",
    "\\begin{align}\n",
    "EEV:= \\mathbb{E}_{\\xi}\\left[g(\\bar{x}, \\xi)\\right]\n",
    "\\end{align}\n",
    "EEV can be exactly calculated for m random discrete variables at d values each by solving $d^n$ linear programs. The EEV is calculated using sample mean approximation as follows:<br>\n",
    "\n",
    "- For $i = 1,...,L$ where $L=d^m$ and for this particular problem $d=m=3$:\n",
    "    - Sample $\\xi_i$ from the discrete realizations<br>\n",
    "    - Compute the optimal value of $x_i$ for $\\bar{\\xi}$: $\\bar{x}_i$<br>\n",
    "    - $EEV_l = \\sum_{i=1}^n c_i\\bar{x}_i+Q(\\bar{x}, \\xi^{(l)})$ where, $l$ is the $l^{th}$ scenario. Here $l={1,2,...,27}$\n",
    "    - Finally, $EEV = \\frac{1}{L}\\sum_{l=1}^LEEV_l$\n",
    "    - $Q(\\bar{x}, \\xi^{(l)})$ can be written as a linear program as follows:\n",
    "\\begin{align}\n",
    "    \\min_{y\\geq0}\\left\\{\\sum_{i=1}^n \\sum_{j=1}^kq_iT_jy_{ij}\\right\\}\n",
    "\\end{align}\n",
    "\n",
    "\\begin{align}\n",
    "\\text{Subject to:}&\\\\\n",
    "&\\sum_{j=1}^ky_{ij}\\leq \\bar{x}_i\\quad \\quad i=\\{1,\\cdots,n\\}\\\\\n",
    "&\\sum_{i=1}^ny_{ij}\\geq \\xi_j^{(l)} \\quad \\quad j=\\{1,\\cdots,k\\}\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa54bff6",
   "metadata": {},
   "source": [
    "## Wait-and-See problem\n",
    "The wait-and-see problem is formulated by solving MOD1 for all possible realizations of $\\xi_j$. As $\\xi_j$ is discrete and mutually independent there are a total of 27 realizations.<br>\n",
    "The mean value of wait-and-see solution is denoted by WS and can be formulated as:<br><br>\n",
    "<center>\n",
    "$\n",
    "WS:=\\mathbb{E}_{\\xi}\\left[min_{x\\geq0}\\:g(\\xi, x)\\right]=\\mathbb{E}_{\\xi}\\left[g(\\xi,\\hat{x}(\\xi))\\right]\n",
    "$</center>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d82fc864",
   "metadata": {},
   "source": [
    "## Stochastic recourse model\n",
    "The stochastic 2-stage model can be formulated by chainging the objective function of the deterministic model (MOD1) and adding random parameter $\\xi_j$ as follows:\n",
    "<center>$\n",
    "\\min_{x\\geq0}{\\underbrace{\\left\\{\\sum_{i=1}^nc_ix_i+\\underbrace{\\mathbb{E}_{\\xi}\\left[\\min_{y\\geq0}\\left\\{\\sum_{i=1}^n \\sum_{j=1}^kq_iT_jy_{ij}\\right\\}\\right]}_{\\text{second stage}}\\right\\}}_{\\text{first stage}}}$</center><br>\n",
    "<ul><ul><ul><ul><em>subject to:</em><br></ul></ul></ul></ul>\n",
    "<center>\n",
    "    <center>\n",
    "$\n",
    "\\begin{align}\n",
    "\\text{first stage constraints:}&\\\\\n",
    "&\\sum_{i=1}^n x_i\\geq \\sum_{j=1}^k \\xi_j^{max}\\\\\n",
    "&\\sum_{i=1}^nc_ix_i\\leq c_{max}\\\\\n",
    "\\text{second stage constraints:}&\\\\\n",
    "&\\sum_{j=1}^ky_{ij}\\leq x_i\\quad \\quad i=\\{1,\\cdots,n\\}\\\\\n",
    "&\\sum_{i=1}^ny_{ij}\\geq \\xi_j\\quad \\quad j=\\{1,\\cdots,k\\}\n",
    "\\end{align}\n",
    "$\n",
    "</center><br>\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a00f1b95",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:30px\">\n",
    "Answers for Q(a)\n",
    "</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daa6df4c",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EV and $\\bar{x}$\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "614949a3-10af-437d-a224-677c72cd9215",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------+------------------------+--------------------+------------+------------+\n",
      "| Technologies | Installed Capacity (x̄) |     Usage (T1)     | Usage (T2) | Usage (T3) |\n",
      "+--------------+------------------------+--------------------+------------+------------+\n",
      "| Technology-1 |   2.8333333333333335   | 2.8333333333333335 |    0.0     |    0.0     |\n",
      "| Technology-2 |          3.0           |        0.0         |    3.0     |    0.0     |\n",
      "| Technology-3 |   2.1666666666666665   | 2.1666666666666665 |    0.0     |    0.0     |\n",
      "| Technology-4 |          6.0           |        0.0         |    0.0     |    2.0     |\n",
      "+--------------+------------------------+--------------------+------------+------------+\n",
      "Total investment cost     = 120.0\n",
      "Total operation cost = 274.6666666666667\n",
      "Total objective cost (EV) = 394.6666666666667\n"
     ]
    }
   ],
   "source": [
    "mean_values_xi = [5,3,2]\n",
    "demand_max = [7,4,3]  # Based on maximum values of each mode\n",
    "expected_value_model_qa = create_model_qa(capacity_per_mode=mean_values_xi, capacity_max = demand_max ) \n",
    "SolverFactory('gurobi').solve(expected_value_model_qa)\n",
    "print_res(expected_value_model_qa, question='qa')\n",
    "xbar_qa = [expected_value_model_qa.x[n].value for n in expected_value_model_qa.n]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "122c26bc",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Discrete sampling for: $\\xi_{i=\\{1,2,3\\}}$\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e5cf763c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1080x576 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scenario_names_qa, scenarios_qa, scenarios_qa_prob = generate_scenario_qa() \n",
    "# Generate scenario along with their probability"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea984140",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EEV Q(a)\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f921f4d2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-------------+------------+\n",
      "| Scenarios   |   EEV_l_qa |\n",
      "|-------------+------------|\n",
      "| scenario-1  |    275.167 |\n",
      "| scenario-2  |    279.667 |\n",
      "| scenario-3  |    284.167 |\n",
      "| scenario-4  |    302.167 |\n",
      "| scenario-5  |    306.667 |\n",
      "| scenario-6  |    312.167 |\n",
      "| scenario-7  |    329.167 |\n",
      "| scenario-8  |    334.667 |\n",
      "| scenario-9  |    340.167 |\n",
      "| scenario-10 |    361.167 |\n",
      "| scenario-11 |    366.667 |\n",
      "| scenario-12 |    372.167 |\n",
      "| scenario-13 |    389.167 |\n",
      "| scenario-14 |    394.667 |\n",
      "| scenario-15 |    400.167 |\n",
      "| scenario-16 |    422.167 |\n",
      "| scenario-17 |    427.667 |\n",
      "| scenario-18 |    433.167 |\n",
      "| scenario-19 |    458.167 |\n",
      "| scenario-20 |    463.667 |\n",
      "| scenario-21 |    469.167 |\n",
      "| scenario-22 |    491.167 |\n",
      "| scenario-23 |    496.667 |\n",
      "| scenario-24 |    502.167 |\n",
      "| scenario-25 |    524.167 |\n",
      "| scenario-26 |    529.667 |\n",
      "| scenario-27 |    535.167 |\n",
      "+-------------+------------+\n",
      "EEV = 400.04\n"
     ]
    }
   ],
   "source": [
    "EEV_l_qa = []  # Making a empty list\n",
    "\n",
    "for s in scenarios_qa.iterrows():\n",
    "    model_eev_qa = create_eev_model_qa(x_bar=xbar_qa, capacity_per_mode=\n",
    "                                       [s[1][0], s[1][1], s[1][2]], capacity_max =demand_max)\n",
    "    SolverFactory('gurobi').solve(model_eev_qa)\n",
    "    EEV_l_qa.append(sum(np.array([10, 7 , 16, 6])*np.array(xbar_qa))+ value(model_eev_qa.obj))\n",
    "\n",
    "EEV_df_qa = pd.DataFrame(index=scenarios_qa.index, data={'EEV_l_qa':EEV_l_qa})\n",
    "print(tabulate(EEV_df_qa, headers=['Scenarios', 'EEV_l_qa'], tablefmt='psql'))\n",
    "print('EEV = %.2f'%np.mean(EEV_l_qa))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebe0e9a9",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of Wait and See solution\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a37b2499",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      Scenarios  Technology-1  Technology-2  Technology-3  Technology-4  \\\n",
      "0    scenario-1      0.000000      3.000000      3.000000           8.0   \n",
      "1    scenario-2      0.000000      2.000000      3.000000           9.0   \n",
      "2    scenario-3      0.000000      2.000000      3.000000           9.0   \n",
      "3    scenario-4      1.000000      2.000000      3.000000           8.0   \n",
      "4    scenario-5      1.000000      2.000000      3.000000           8.0   \n",
      "5    scenario-6      1.000000      2.000000      3.000000           8.0   \n",
      "6    scenario-7      0.666667      3.333333      3.000000           7.0   \n",
      "7    scenario-8      0.666667      3.333333      3.000000           7.0   \n",
      "8    scenario-9      0.666667      3.333333      3.000000           7.0   \n",
      "9   scenario-10      2.666667      2.000000      2.333333           7.0   \n",
      "10  scenario-11      2.666667      2.000000      2.333333           7.0   \n",
      "11  scenario-12      2.666667      2.000000      2.333333           7.0   \n",
      "12  scenario-13      2.833333      3.000000      2.166667           6.0   \n",
      "13  scenario-14      2.833333      3.000000      2.166667           6.0   \n",
      "14  scenario-15      2.833333      3.000000      2.166667           6.0   \n",
      "15  scenario-16      3.000000      4.000000      2.000000           5.0   \n",
      "16  scenario-17      3.000000      4.000000      2.000000           5.0   \n",
      "17  scenario-18      3.000000      4.000000      2.000000           5.0   \n",
      "18  scenario-19      6.000000      2.000000      1.000000           5.0   \n",
      "19  scenario-20      6.000000      2.000000      1.000000           5.0   \n",
      "20  scenario-21      6.000000      2.000000      1.000000           5.0   \n",
      "21  scenario-22      6.166667      3.000000      0.833333           4.0   \n",
      "22  scenario-23      6.166667      3.000000      0.833333           4.0   \n",
      "23  scenario-24      6.166667      3.000000      0.833333           4.0   \n",
      "24  scenario-25      6.333333      4.000000      0.666667           3.0   \n",
      "25  scenario-26      6.333333      4.000000      0.666667           3.0   \n",
      "26  scenario-27      6.333333      4.000000      0.666667           3.0   \n",
      "\n",
      "    Total Investment  Total Operation Cost  Total objective cost  \n",
      "0              117.0            154.500000            271.500000  \n",
      "1              116.0            161.000000            277.000000  \n",
      "2              116.0            166.500000            282.500000  \n",
      "3              120.0            179.500000            299.500000  \n",
      "4              120.0            185.000000            305.000000  \n",
      "5              120.0            190.500000            310.500000  \n",
      "6              120.0            207.500000            327.500000  \n",
      "7              120.0            213.000000            333.000000  \n",
      "8              120.0            218.500000            338.500000  \n",
      "9              120.0            240.833333            360.833333  \n",
      "10             120.0            246.333333            366.333333  \n",
      "11             120.0            251.833333            371.833333  \n",
      "12             120.0            269.166667            389.166667  \n",
      "13             120.0            274.666667            394.666667  \n",
      "14             120.0            280.166667            400.166667  \n",
      "15             120.0            297.500000            417.500000  \n",
      "16             120.0            303.000000            423.000000  \n",
      "17             120.0            308.500000            428.500000  \n",
      "18             120.0            331.500000            451.500000  \n",
      "19             120.0            337.000000            457.000000  \n",
      "20             120.0            342.500000            462.500000  \n",
      "21             120.0            359.833333            479.833333  \n",
      "22             120.0            365.333333            485.333333  \n",
      "23             120.0            370.833333            490.833333  \n",
      "24             120.0            388.166667            508.166667  \n",
      "25             120.0            393.666667            513.666667  \n",
      "26             120.0            399.166667            519.166667  \n",
      "------------------------- Average value of wait and see -------------------------------\n",
      "Items                        Average Values\n",
      "-------------------------  ----------------\n",
      "Technology-1                        3.18519\n",
      "Technology-2                        2.85185\n",
      "Technology-3                        2\n",
      "Technology-4                        5.96296\n",
      "Total Investment                  119.593\n",
      "Total Operation Cost              275.407\n",
      "Total objective cost (WS)         395\n"
     ]
    }
   ],
   "source": [
    "solve_ws_qa(demandmax=demand_max,all_scenarios=scenarios_qa, create_model=create_model_qa)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1871cfb",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of TS using L-shaped method\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "29344bfc-bcdf-4c52-986e-a708fe7b283f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   10.35] Initializing SPBase\n",
      "Current Iteration: 1 Time Elapsed:    0.00 Current Objective: -Inf\n",
      "Current Iteration: 2 Time Elapsed:    4.49 Time Spent on Last Master:    0.17 Time Spent Generating Last Cut Set:    4.32 Current Objective: -11663940.00\n",
      "Current Iteration: 3 Time Elapsed:    7.81 Time Spent on Last Master:    0.10 Time Spent Generating Last Cut Set:    3.21 Current Objective:  284.00\n",
      "Current Iteration: 4 Time Elapsed:   11.21 Time Spent on Last Master:    0.10 Time Spent Generating Last Cut Set:    3.31 Current Objective:  359.96\n",
      "Current Iteration: 5 Time Elapsed:   15.32 Time Spent on Last Master:    0.10 Time Spent Generating Last Cut Set:    4.01 Current Objective:  384.45\n",
      "Current Iteration: 6 Time Elapsed:   18.33 Time Spent on Last Master:    0.11 Time Spent Generating Last Cut Set:    2.89 Current Objective:  397.16\n",
      "Current Iteration: 7 Time Elapsed:   21.36 Time Spent on Last Master:    0.11 Time Spent Generating Last Cut Set:    2.93 Current Objective:  397.67\n",
      "Converged in 7 iterations.\n",
      "Total Time Elapsed:   24.36 Time Spent on Last Master:    0.10 Time spent verifying second stage:    2.89 Final Objective:  397.75\n",
      "+--------------+------------------------+\n",
      "| Technologies | Installed Capacity (x̄) |\n",
      "+--------------+------------------------+\n",
      "| Technology-1 |   3.1666666666666776   |\n",
      "| Technology-2 |   5.000000000000011    |\n",
      "| Technology-3 |   1.8333333333333282   |\n",
      "| Technology-4 |   3.9999999999999822   |\n",
      "+--------------+------------------------+\n"
     ]
    }
   ],
   "source": [
    "# Input all the option parameters required for solving using Benders decomposition\n",
    "options_qa_LS = {\n",
    "    \"root_solver\": \"gurobi\",\n",
    "    \"sp_solver\": \"gurobi\",\n",
    "    \"sp_solver_options\" : {\"threads\" : 1},\n",
    "    \"valid_eta_lb\":{name: -432000 for name in scenario_names_qa},\n",
    "    \"max_iter\": 10,\n",
    "}\n",
    "\n",
    "ls_qa = LShapedMethod(options_qa_LS, \n",
    "                   scenario_names_qa, \n",
    "                   scenario_creator_qa, \n",
    "                   scenario_creator_kwargs = {'S':scenarios_qa, \n",
    "                                              'prob_df':scenarios_qa_prob}) #Ready the solver\n",
    "ls_qa.lshaped_algorithm() #Solve\n",
    "\n",
    "print_res_ts(ls_qa.root, question='qa') #Print the solution"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "<span style=\"color:blue;font-weight:800;font-size:30px\">\n",
    "Addition of operational uncertainity: $\\alpha_{1,2,3,4}$</span>"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "3bcc5a34",
   "metadata": {},
   "source": [
    "## Formulation of the modified recourse model (MOD2)\n",
    "The stochastic 2-stage model can be formulated by adding the new random parameters to the previouse recourse model as follows:\n",
    "<center>$\n",
    "\\min_{x\\geq0}{\\underbrace{\\left\\{\\sum_{i=1}^nc_ix_i+\\underbrace{\\mathbb{E}_{\\xi}\\left[\\min_{y\\geq0}\\left\\{\\sum_{i=1}^n \\sum_{j=1}^kq_iT_jy_{ij}\\right\\}\\right]}_{\\text{second stage}}\\right\\}}_{\\text{first stage}}}$</center><br>\n",
    "\n",
    "<em>subject to:</em><br>\n",
    "</center>\n",
    "<center>\n",
    "$\n",
    "\\begin{align}\n",
    "\\text{first stage constraints:}& \\\\\n",
    "& \\sum_{i=1}^nc_ix_i\\leq c_{max} \\\\\n",
    "\\text{second stage constraints:}&\\\\\n",
    "&\\sum_{j=1}^ky_{ij}\\leq \\alpha_ix_i&&\\quad \\quad i=\\{1,\\cdots,n\\}\\\\\n",
    "&\\sum_{i=1}^ny_{ij}\\geq \\xi_j&&\\quad \\quad j=\\{1,\\cdots,k\\}\n",
    "\\end{align}\n",
    "$\n",
    "</center><br>\n",
    "\n",
    "It is to be noted that by the addition of a fifth virtual technology with 0 investment cost the constraint: $\\sum_{i=1}^nx_i\\geq \\sum_{j=1}^k \\xi_j^{max}$ becomes redundant as for any values of $y_{i,j}$ this constraint can always be satishfied by any value of $x_5$ as it does not affect the total investment cost."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4a864de",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Sampling and scenario generations from continous and discrete distributions<br>\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2576e125",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 4 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "number_of_samples = 2 #Number of samples to be sampled from each of continous random parameter\n",
    "scenarios_q2, scenarios_q2_prob = generate_scenario_qb(number_of_samples, plot=True, seed=1245)\n",
    "    #Fix seed at 1225 for reproducibility"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d205cb75",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EV and $\\bar{x}$ for Q(b)\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "21f78a3a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------+------------------------+------------+------------+------------+\n",
      "| Technologies | Installed Capacity (x̄) | Usage (T1) | Usage (T2) | Usage (T3) |\n",
      "+--------------+------------------------+------------+------------+------------+\n",
      "| Technology-1 |   9.194074809305528    |    5.0     |    3.0     |    0.0     |\n",
      "| Technology-2 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-3 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-4 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-5 |          2.0           |    0.0     |    0.0     |    2.0     |\n",
      "+--------------+------------------------+------------+------------+------------+\n",
      "Total investment cost     = 91.94074809305528\n",
      "Total operation cost = 292.0\n",
      "Total objective cost (EV) = 383.9407480930553\n"
     ]
    }
   ],
   "source": [
    "mean_values_qb = [scenarios_q2['alpha_1'].mean(),scenarios_q2['alpha_2'].mean(),\n",
    "                  scenarios_q2['alpha_3'].mean(), scenarios_q2['alpha_4'].mean(),\n",
    "                  scenarios_q2['xi_1'].mean(), scenarios_q2['xi_2'].mean(),\n",
    "                  scenarios_q2['xi_3'].mean()]\n",
    "expected_value_model_qb = create_model_qb(random_parameters=mean_values_qb) # By default all random parameters are set to 1\n",
    "SolverFactory('gurobi').solve(expected_value_model_qb)\n",
    "print_res(expected_value_model_qb, question='qb')\n",
    "xbar_qb = [expected_value_model_qb.x[n].value for n in expected_value_model_qb.n]"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "To note that the x are installed extra to compensate for alpha."
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "a25b7a66",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Solving two stage (TS) recourse model for Q(b) using L-shaped method\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "41e5ec98",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   37.29] Initializing SPBase\n",
      "Current Iteration: 1 Time Elapsed:    0.00 Current Objective: -Inf\n",
      "Current Iteration: 2 Time Elapsed:   52.23 Time Spent on Last Master:    0.13 Time Spent Generating Last Cut Set:   52.10 Current Objective: -186624000.00\n",
      "Current Iteration: 3 Time Elapsed:   94.53 Time Spent on Last Master:    0.12 Time Spent Generating Last Cut Set:   42.18 Current Objective:  224.00\n",
      "Current Iteration: 4 Time Elapsed:  135.48 Time Spent on Last Master:    0.13 Time Spent Generating Last Cut Set:   40.82 Current Objective:  224.00\n",
      "Current Iteration: 5 Time Elapsed:  174.77 Time Spent on Last Master:    0.15 Time Spent Generating Last Cut Set:   39.14 Current Objective:  314.77\n",
      "Current Iteration: 6 Time Elapsed:  214.02 Time Spent on Last Master:    0.18 Time Spent Generating Last Cut Set:   39.06 Current Objective:  360.63\n",
      "Current Iteration: 7 Time Elapsed:  253.57 Time Spent on Last Master:    0.21 Time Spent Generating Last Cut Set:   39.34 Current Objective:  386.18\n",
      "Current Iteration: 8 Time Elapsed:  292.94 Time Spent on Last Master:    0.23 Time Spent Generating Last Cut Set:   39.14 Current Objective:  394.25\n",
      "Current Iteration: 9 Time Elapsed:  332.46 Time Spent on Last Master:    0.27 Time Spent Generating Last Cut Set:   39.25 Current Objective:  396.50\n",
      "Current Iteration: 10 Time Elapsed:  380.19 Time Spent on Last Master:    0.29 Time Spent Generating Last Cut Set:   47.44 Current Objective:  397.94\n",
      "Converged in 10 iterations.\n",
      "Total Time Elapsed:  426.23 Time Spent on Last Master:    0.56 Time spent verifying second stage:   45.48 Final Objective:  398.13\n",
      "+--------------+------------------------+\n",
      "| Technologies | Installed Capacity (x̄) |\n",
      "+--------------+------------------------+\n",
      "| Technology-1 |   7.821702717726656    |\n",
      "| Technology-2 |   2.5163761885660696   |\n",
      "| Technology-3 |          0.0           |\n",
      "| Technology-4 |   1.0890111386673589   |\n",
      "+--------------+------------------------+\n"
     ]
    }
   ],
   "source": [
    "\n",
    "options_qb_LS = {\"root_solver\": \"gurobi\",\n",
    "                 \"sp_solver\": \"gurobi\",\n",
    "                 \"sp_solver_options\" : {\"threads\" : 1},\n",
    "                 \"valid_eta_lb\": {name: -432000 for name in list(scenarios_q2.index)},\n",
    "                 \"max_iter\": 15}\n",
    "ls_qb = LShapedMethod(options_qb_LS, \n",
    "                   list(scenarios_q2.index), \n",
    "                   scenario_creator_qb, \n",
    "                   scenario_creator_kwargs = {'S':scenarios_q2, 'prob_df':scenarios_q2_prob})\n",
    "result = ls_qb.lshaped_algorithm()\n",
    "print_res_ts(ls_qb.root)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "388631c9",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of Wait and See solution\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6935ba96",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "432it [00:51,  8.34it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        Scenarios  Technology-1  Technology-2  Technology-3  Technology-4  \\\n",
      "0      scenario_0      5.915022      0.000000           0.0           0.0   \n",
      "1      scenario_1      5.915022      0.000000           0.0           0.0   \n",
      "2      scenario_2      5.915022      0.000000           0.0           0.0   \n",
      "3      scenario_3      7.098026      0.000000           0.0           0.0   \n",
      "4      scenario_4      7.098026      0.000000           0.0           0.0   \n",
      "..            ...           ...           ...           ...           ...   \n",
      "427  scenario_427     11.173861      0.000000           0.0           0.0   \n",
      "428  scenario_428     11.173861      0.000000           0.0           0.0   \n",
      "429  scenario_429     10.916097      1.548434           0.0           0.0   \n",
      "430  scenario_430     10.916097      1.548434           0.0           0.0   \n",
      "431  scenario_431     10.916097      1.548434           0.0           0.0   \n",
      "\n",
      "     Technology-5  Total Investment  Total Operation Cost  \\\n",
      "0             1.0         59.150217            178.000000   \n",
      "1             2.0         59.150217            188.000000   \n",
      "2             3.0         59.150217            198.000000   \n",
      "3             1.0         70.980261            202.000000   \n",
      "4             2.0         70.980261            212.000000   \n",
      "..            ...               ...                   ...   \n",
      "427           2.0        111.738610            372.000000   \n",
      "428           3.0        111.738610            382.000000   \n",
      "429           1.0        120.000000            389.692056   \n",
      "430           2.0        120.000000            399.692056   \n",
      "431           3.0        120.000000            409.692056   \n",
      "\n",
      "     Total objective cost  \n",
      "0              237.150217  \n",
      "1              247.150217  \n",
      "2              257.150217  \n",
      "3              272.980261  \n",
      "4              282.980261  \n",
      "..                    ...  \n",
      "427            483.738610  \n",
      "428            493.738610  \n",
      "429            509.692056  \n",
      "430            519.692056  \n",
      "431            529.692056  \n",
      "\n",
      "[432 rows x 9 columns]\n",
      "------------------------- Average value of wait and see -------------------------------\n",
      "Items                        Average Values\n",
      "-------------------------  ----------------\n",
      "Technology-1                        8.11374\n",
      "Technology-2                        1.16685\n",
      "Technology-3                        0\n",
      "Technology-4                        0\n",
      "Technology-5                        2\n",
      "Total Investment                   89.3054\n",
      "Total Operation Cost              294.771\n",
      "Total objective cost (WS)         384.076\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "solve_ws_qb(all_scenarios=scenarios_q2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "865bbbc2",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EEV for Q (b)\n",
    "</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "The EEV calculation for this model is tricky. By the omission of constraint on the maximum demand $\\left(\\sum_{i=1}^nx_i\\geq \\sum_{j=1}^k\\xi_j^{max}\\right)$ the EEV model returns infeasible solution for some of the scenarios where: $\\sum_{j=1}^k\\xi_j>\\sum_{j=1}^k\\bar{\\xi}_j$. Moreover, if we adjust the $\\bar{x_i}$ solution by adding extra units to the fifth virtual technology (as it has 0 investment costs) sertain instances of the EEV model still output infeasible solution due to the randomness of the operational availability, which make the maximum demand constraint again infeasible."
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "babc5839",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "432it [00:44,  9.63it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------+---------+\n",
      "| Scenarios    |   EEV_l |\n",
      "|--------------+---------|\n",
      "| scenario_0   | 263.941 |\n",
      "| scenario_1   | 267.941 |\n",
      "| scenario_2   | 271.941 |\n",
      "| scenario_3   | 287.941 |\n",
      "| scenario_4   | 291.941 |\n",
      "| scenario_5   | 295.941 |\n",
      "| scenario_6   | 311.941 |\n",
      "| scenario_7   | 315.941 |\n",
      "| scenario_8   | 324.776 |\n",
      "| scenario_9   | 343.941 |\n",
      "| scenario_10  | 347.941 |\n",
      "| scenario_11  | 356.776 |\n",
      "| scenario_12  | 367.941 |\n",
      "| scenario_13  | 376.776 |\n",
      "| scenario_14  | 386.776 |\n",
      "| scenario_15  | 396.776 |\n",
      "| scenario_16  | 406.776 |\n",
      "| scenario_17  | 416.776 |\n",
      "| scenario_18  | 428.776 |\n",
      "| scenario_19  | 438.776 |\n",
      "| scenario_20  | 448.776 |\n",
      "| scenario_21  | 482.954 |\n",
      "| scenario_22  | 492.954 |\n",
      "| scenario_23  | 502.954 |\n",
      "| scenario_24  | 542.954 |\n",
      "| scenario_25  | 552.954 |\n",
      "| scenario_26  | 562.954 |\n",
      "| scenario_27  | 263.941 |\n",
      "| scenario_28  | 267.941 |\n",
      "| scenario_29  | 271.941 |\n",
      "| scenario_30  | 287.941 |\n",
      "| scenario_31  | 291.941 |\n",
      "| scenario_32  | 295.941 |\n",
      "| scenario_33  | 311.941 |\n",
      "| scenario_34  | 315.941 |\n",
      "| scenario_35  | 324.776 |\n",
      "| scenario_36  | 343.941 |\n",
      "| scenario_37  | 347.941 |\n",
      "| scenario_38  | 356.776 |\n",
      "| scenario_39  | 367.941 |\n",
      "| scenario_40  | 376.776 |\n",
      "| scenario_41  | 386.776 |\n",
      "| scenario_42  | 396.776 |\n",
      "| scenario_43  | 406.776 |\n",
      "| scenario_44  | 416.776 |\n",
      "| scenario_45  | 428.776 |\n",
      "| scenario_46  | 438.776 |\n",
      "| scenario_47  | 448.776 |\n",
      "| scenario_48  | 482.954 |\n",
      "| scenario_49  | 492.954 |\n",
      "| scenario_50  | 502.954 |\n",
      "| scenario_51  | 542.954 |\n",
      "| scenario_52  | 552.954 |\n",
      "| scenario_53  | 562.954 |\n",
      "| scenario_54  | 263.941 |\n",
      "| scenario_55  | 267.941 |\n",
      "| scenario_56  | 271.941 |\n",
      "| scenario_57  | 287.941 |\n",
      "| scenario_58  | 291.941 |\n",
      "| scenario_59  | 295.941 |\n",
      "| scenario_60  | 311.941 |\n",
      "| scenario_61  | 315.941 |\n",
      "| scenario_62  | 324.776 |\n",
      "| scenario_63  | 343.941 |\n",
      "| scenario_64  | 347.941 |\n",
      "| scenario_65  | 356.776 |\n",
      "| scenario_66  | 367.941 |\n",
      "| scenario_67  | 376.776 |\n",
      "| scenario_68  | 386.776 |\n",
      "| scenario_69  | 396.776 |\n",
      "| scenario_70  | 406.776 |\n",
      "| scenario_71  | 416.776 |\n",
      "| scenario_72  | 428.776 |\n",
      "| scenario_73  | 438.776 |\n",
      "| scenario_74  | 448.776 |\n",
      "| scenario_75  | 482.954 |\n",
      "| scenario_76  | 492.954 |\n",
      "| scenario_77  | 502.954 |\n",
      "| scenario_78  | 542.954 |\n",
      "| scenario_79  | 552.954 |\n",
      "| scenario_80  | 562.954 |\n",
      "| scenario_81  | 263.941 |\n",
      "| scenario_82  | 267.941 |\n",
      "| scenario_83  | 271.941 |\n",
      "| scenario_84  | 287.941 |\n",
      "| scenario_85  | 291.941 |\n",
      "| scenario_86  | 295.941 |\n",
      "| scenario_87  | 311.941 |\n",
      "| scenario_88  | 315.941 |\n",
      "| scenario_89  | 324.776 |\n",
      "| scenario_90  | 343.941 |\n",
      "| scenario_91  | 347.941 |\n",
      "| scenario_92  | 356.776 |\n",
      "| scenario_93  | 367.941 |\n",
      "| scenario_94  | 376.776 |\n",
      "| scenario_95  | 386.776 |\n",
      "| scenario_96  | 396.776 |\n",
      "| scenario_97  | 406.776 |\n",
      "| scenario_98  | 416.776 |\n",
      "| scenario_99  | 428.776 |\n",
      "| scenario_100 | 438.776 |\n",
      "| scenario_101 | 448.776 |\n",
      "| scenario_102 | 482.954 |\n",
      "| scenario_103 | 492.954 |\n",
      "| scenario_104 | 502.954 |\n",
      "| scenario_105 | 542.954 |\n",
      "| scenario_106 | 552.954 |\n",
      "| scenario_107 | 562.954 |\n",
      "| scenario_108 | 263.941 |\n",
      "| scenario_109 | 267.941 |\n",
      "| scenario_110 | 271.941 |\n",
      "| scenario_111 | 287.941 |\n",
      "| scenario_112 | 291.941 |\n",
      "| scenario_113 | 295.941 |\n",
      "| scenario_114 | 311.941 |\n",
      "| scenario_115 | 315.941 |\n",
      "| scenario_116 | 324.776 |\n",
      "| scenario_117 | 343.941 |\n",
      "| scenario_118 | 347.941 |\n",
      "| scenario_119 | 356.776 |\n",
      "| scenario_120 | 367.941 |\n",
      "| scenario_121 | 376.776 |\n",
      "| scenario_122 | 386.776 |\n",
      "| scenario_123 | 396.776 |\n",
      "| scenario_124 | 406.776 |\n",
      "| scenario_125 | 416.776 |\n",
      "| scenario_126 | 428.776 |\n",
      "| scenario_127 | 438.776 |\n",
      "| scenario_128 | 448.776 |\n",
      "| scenario_129 | 482.954 |\n",
      "| scenario_130 | 492.954 |\n",
      "| scenario_131 | 502.954 |\n",
      "| scenario_132 | 542.954 |\n",
      "| scenario_133 | 552.954 |\n",
      "| scenario_134 | 562.954 |\n",
      "| scenario_135 | 263.941 |\n",
      "| scenario_136 | 267.941 |\n",
      "| scenario_137 | 271.941 |\n",
      "| scenario_138 | 287.941 |\n",
      "| scenario_139 | 291.941 |\n",
      "| scenario_140 | 295.941 |\n",
      "| scenario_141 | 311.941 |\n",
      "| scenario_142 | 315.941 |\n",
      "| scenario_143 | 324.776 |\n",
      "| scenario_144 | 343.941 |\n",
      "| scenario_145 | 347.941 |\n",
      "| scenario_146 | 356.776 |\n",
      "| scenario_147 | 367.941 |\n",
      "| scenario_148 | 376.776 |\n",
      "| scenario_149 | 386.776 |\n",
      "| scenario_150 | 396.776 |\n",
      "| scenario_151 | 406.776 |\n",
      "| scenario_152 | 416.776 |\n",
      "| scenario_153 | 428.776 |\n",
      "| scenario_154 | 438.776 |\n",
      "| scenario_155 | 448.776 |\n",
      "| scenario_156 | 482.954 |\n",
      "| scenario_157 | 492.954 |\n",
      "| scenario_158 | 502.954 |\n",
      "| scenario_159 | 542.954 |\n",
      "| scenario_160 | 552.954 |\n",
      "| scenario_161 | 562.954 |\n",
      "| scenario_162 | 263.941 |\n",
      "| scenario_163 | 267.941 |\n",
      "| scenario_164 | 271.941 |\n",
      "| scenario_165 | 287.941 |\n",
      "| scenario_166 | 291.941 |\n",
      "| scenario_167 | 295.941 |\n",
      "| scenario_168 | 311.941 |\n",
      "| scenario_169 | 315.941 |\n",
      "| scenario_170 | 324.776 |\n",
      "| scenario_171 | 343.941 |\n",
      "| scenario_172 | 347.941 |\n",
      "| scenario_173 | 356.776 |\n",
      "| scenario_174 | 367.941 |\n",
      "| scenario_175 | 376.776 |\n",
      "| scenario_176 | 386.776 |\n",
      "| scenario_177 | 396.776 |\n",
      "| scenario_178 | 406.776 |\n",
      "| scenario_179 | 416.776 |\n",
      "| scenario_180 | 428.776 |\n",
      "| scenario_181 | 438.776 |\n",
      "| scenario_182 | 448.776 |\n",
      "| scenario_183 | 482.954 |\n",
      "| scenario_184 | 492.954 |\n",
      "| scenario_185 | 502.954 |\n",
      "| scenario_186 | 542.954 |\n",
      "| scenario_187 | 552.954 |\n",
      "| scenario_188 | 562.954 |\n",
      "| scenario_189 | 263.941 |\n",
      "| scenario_190 | 267.941 |\n",
      "| scenario_191 | 271.941 |\n",
      "| scenario_192 | 287.941 |\n",
      "| scenario_193 | 291.941 |\n",
      "| scenario_194 | 295.941 |\n",
      "| scenario_195 | 311.941 |\n",
      "| scenario_196 | 315.941 |\n",
      "| scenario_197 | 324.776 |\n",
      "| scenario_198 | 343.941 |\n",
      "| scenario_199 | 347.941 |\n",
      "| scenario_200 | 356.776 |\n",
      "| scenario_201 | 367.941 |\n",
      "| scenario_202 | 376.776 |\n",
      "| scenario_203 | 386.776 |\n",
      "| scenario_204 | 396.776 |\n",
      "| scenario_205 | 406.776 |\n",
      "| scenario_206 | 416.776 |\n",
      "| scenario_207 | 428.776 |\n",
      "| scenario_208 | 438.776 |\n",
      "| scenario_209 | 448.776 |\n",
      "| scenario_210 | 482.954 |\n",
      "| scenario_211 | 492.954 |\n",
      "| scenario_212 | 502.954 |\n",
      "| scenario_213 | 542.954 |\n",
      "| scenario_214 | 552.954 |\n",
      "| scenario_215 | 562.954 |\n",
      "| scenario_216 | 263.941 |\n",
      "| scenario_217 | 267.941 |\n",
      "| scenario_218 | 271.941 |\n",
      "| scenario_219 | 287.941 |\n",
      "| scenario_220 | 291.941 |\n",
      "| scenario_221 | 295.941 |\n",
      "| scenario_222 | 311.941 |\n",
      "| scenario_223 | 315.941 |\n",
      "| scenario_224 | 324.776 |\n",
      "| scenario_225 | 343.941 |\n",
      "| scenario_226 | 347.941 |\n",
      "| scenario_227 | 356.776 |\n",
      "| scenario_228 | 367.941 |\n",
      "| scenario_229 | 376.776 |\n",
      "| scenario_230 | 386.776 |\n",
      "| scenario_231 | 396.776 |\n",
      "| scenario_232 | 406.776 |\n",
      "| scenario_233 | 416.776 |\n",
      "| scenario_234 | 428.776 |\n",
      "| scenario_235 | 438.776 |\n",
      "| scenario_236 | 448.776 |\n",
      "| scenario_237 | 482.954 |\n",
      "| scenario_238 | 492.954 |\n",
      "| scenario_239 | 502.954 |\n",
      "| scenario_240 | 542.954 |\n",
      "| scenario_241 | 552.954 |\n",
      "| scenario_242 | 562.954 |\n",
      "| scenario_243 | 263.941 |\n",
      "| scenario_244 | 267.941 |\n",
      "| scenario_245 | 271.941 |\n",
      "| scenario_246 | 287.941 |\n",
      "| scenario_247 | 291.941 |\n",
      "| scenario_248 | 295.941 |\n",
      "| scenario_249 | 311.941 |\n",
      "| scenario_250 | 315.941 |\n",
      "| scenario_251 | 324.776 |\n",
      "| scenario_252 | 343.941 |\n",
      "| scenario_253 | 347.941 |\n",
      "| scenario_254 | 356.776 |\n",
      "| scenario_255 | 367.941 |\n",
      "| scenario_256 | 376.776 |\n",
      "| scenario_257 | 386.776 |\n",
      "| scenario_258 | 396.776 |\n",
      "| scenario_259 | 406.776 |\n",
      "| scenario_260 | 416.776 |\n",
      "| scenario_261 | 428.776 |\n",
      "| scenario_262 | 438.776 |\n",
      "| scenario_263 | 448.776 |\n",
      "| scenario_264 | 482.954 |\n",
      "| scenario_265 | 492.954 |\n",
      "| scenario_266 | 502.954 |\n",
      "| scenario_267 | 542.954 |\n",
      "| scenario_268 | 552.954 |\n",
      "| scenario_269 | 562.954 |\n",
      "| scenario_270 | 263.941 |\n",
      "| scenario_271 | 267.941 |\n",
      "| scenario_272 | 271.941 |\n",
      "| scenario_273 | 287.941 |\n",
      "| scenario_274 | 291.941 |\n",
      "| scenario_275 | 295.941 |\n",
      "| scenario_276 | 311.941 |\n",
      "| scenario_277 | 315.941 |\n",
      "| scenario_278 | 324.776 |\n",
      "| scenario_279 | 343.941 |\n",
      "| scenario_280 | 347.941 |\n",
      "| scenario_281 | 356.776 |\n",
      "| scenario_282 | 367.941 |\n",
      "| scenario_283 | 376.776 |\n",
      "| scenario_284 | 386.776 |\n",
      "| scenario_285 | 396.776 |\n",
      "| scenario_286 | 406.776 |\n",
      "| scenario_287 | 416.776 |\n",
      "| scenario_288 | 428.776 |\n",
      "| scenario_289 | 438.776 |\n",
      "| scenario_290 | 448.776 |\n",
      "| scenario_291 | 482.954 |\n",
      "| scenario_292 | 492.954 |\n",
      "| scenario_293 | 502.954 |\n",
      "| scenario_294 | 542.954 |\n",
      "| scenario_295 | 552.954 |\n",
      "| scenario_296 | 562.954 |\n",
      "| scenario_297 | 263.941 |\n",
      "| scenario_298 | 267.941 |\n",
      "| scenario_299 | 271.941 |\n",
      "| scenario_300 | 287.941 |\n",
      "| scenario_301 | 291.941 |\n",
      "| scenario_302 | 295.941 |\n",
      "| scenario_303 | 311.941 |\n",
      "| scenario_304 | 315.941 |\n",
      "| scenario_305 | 324.776 |\n",
      "| scenario_306 | 343.941 |\n",
      "| scenario_307 | 347.941 |\n",
      "| scenario_308 | 356.776 |\n",
      "| scenario_309 | 367.941 |\n",
      "| scenario_310 | 376.776 |\n",
      "| scenario_311 | 386.776 |\n",
      "| scenario_312 | 396.776 |\n",
      "| scenario_313 | 406.776 |\n",
      "| scenario_314 | 416.776 |\n",
      "| scenario_315 | 428.776 |\n",
      "| scenario_316 | 438.776 |\n",
      "| scenario_317 | 448.776 |\n",
      "| scenario_318 | 482.954 |\n",
      "| scenario_319 | 492.954 |\n",
      "| scenario_320 | 502.954 |\n",
      "| scenario_321 | 542.954 |\n",
      "| scenario_322 | 552.954 |\n",
      "| scenario_323 | 562.954 |\n",
      "| scenario_324 | 263.941 |\n",
      "| scenario_325 | 267.941 |\n",
      "| scenario_326 | 271.941 |\n",
      "| scenario_327 | 287.941 |\n",
      "| scenario_328 | 291.941 |\n",
      "| scenario_329 | 295.941 |\n",
      "| scenario_330 | 311.941 |\n",
      "| scenario_331 | 315.941 |\n",
      "| scenario_332 | 324.776 |\n",
      "| scenario_333 | 343.941 |\n",
      "| scenario_334 | 347.941 |\n",
      "| scenario_335 | 356.776 |\n",
      "| scenario_336 | 367.941 |\n",
      "| scenario_337 | 376.776 |\n",
      "| scenario_338 | 386.776 |\n",
      "| scenario_339 | 396.776 |\n",
      "| scenario_340 | 406.776 |\n",
      "| scenario_341 | 416.776 |\n",
      "| scenario_342 | 428.776 |\n",
      "| scenario_343 | 438.776 |\n",
      "| scenario_344 | 448.776 |\n",
      "| scenario_345 | 482.954 |\n",
      "| scenario_346 | 492.954 |\n",
      "| scenario_347 | 502.954 |\n",
      "| scenario_348 | 542.954 |\n",
      "| scenario_349 | 552.954 |\n",
      "| scenario_350 | 562.954 |\n",
      "| scenario_351 | 263.941 |\n",
      "| scenario_352 | 267.941 |\n",
      "| scenario_353 | 271.941 |\n",
      "| scenario_354 | 287.941 |\n",
      "| scenario_355 | 291.941 |\n",
      "| scenario_356 | 295.941 |\n",
      "| scenario_357 | 311.941 |\n",
      "| scenario_358 | 315.941 |\n",
      "| scenario_359 | 324.776 |\n",
      "| scenario_360 | 343.941 |\n",
      "| scenario_361 | 347.941 |\n",
      "| scenario_362 | 356.776 |\n",
      "| scenario_363 | 367.941 |\n",
      "| scenario_364 | 376.776 |\n",
      "| scenario_365 | 386.776 |\n",
      "| scenario_366 | 396.776 |\n",
      "| scenario_367 | 406.776 |\n",
      "| scenario_368 | 416.776 |\n",
      "| scenario_369 | 428.776 |\n",
      "| scenario_370 | 438.776 |\n",
      "| scenario_371 | 448.776 |\n",
      "| scenario_372 | 482.954 |\n",
      "| scenario_373 | 492.954 |\n",
      "| scenario_374 | 502.954 |\n",
      "| scenario_375 | 542.954 |\n",
      "| scenario_376 | 552.954 |\n",
      "| scenario_377 | 562.954 |\n",
      "| scenario_378 | 263.941 |\n",
      "| scenario_379 | 267.941 |\n",
      "| scenario_380 | 271.941 |\n",
      "| scenario_381 | 287.941 |\n",
      "| scenario_382 | 291.941 |\n",
      "| scenario_383 | 295.941 |\n",
      "| scenario_384 | 311.941 |\n",
      "| scenario_385 | 315.941 |\n",
      "| scenario_386 | 324.776 |\n",
      "| scenario_387 | 343.941 |\n",
      "| scenario_388 | 347.941 |\n",
      "| scenario_389 | 356.776 |\n",
      "| scenario_390 | 367.941 |\n",
      "| scenario_391 | 376.776 |\n",
      "| scenario_392 | 386.776 |\n",
      "| scenario_393 | 396.776 |\n",
      "| scenario_394 | 406.776 |\n",
      "| scenario_395 | 416.776 |\n",
      "| scenario_396 | 428.776 |\n",
      "| scenario_397 | 438.776 |\n",
      "| scenario_398 | 448.776 |\n",
      "| scenario_399 | 482.954 |\n",
      "| scenario_400 | 492.954 |\n",
      "| scenario_401 | 502.954 |\n",
      "| scenario_402 | 542.954 |\n",
      "| scenario_403 | 552.954 |\n",
      "| scenario_404 | 562.954 |\n",
      "| scenario_405 | 263.941 |\n",
      "| scenario_406 | 267.941 |\n",
      "| scenario_407 | 271.941 |\n",
      "| scenario_408 | 287.941 |\n",
      "| scenario_409 | 291.941 |\n",
      "| scenario_410 | 295.941 |\n",
      "| scenario_411 | 311.941 |\n",
      "| scenario_412 | 315.941 |\n",
      "| scenario_413 | 324.776 |\n",
      "| scenario_414 | 343.941 |\n",
      "| scenario_415 | 347.941 |\n",
      "| scenario_416 | 356.776 |\n",
      "| scenario_417 | 367.941 |\n",
      "| scenario_418 | 376.776 |\n",
      "| scenario_419 | 386.776 |\n",
      "| scenario_420 | 396.776 |\n",
      "| scenario_421 | 406.776 |\n",
      "| scenario_422 | 416.776 |\n",
      "| scenario_423 | 428.776 |\n",
      "| scenario_424 | 438.776 |\n",
      "| scenario_425 | 448.776 |\n",
      "| scenario_426 | 482.954 |\n",
      "| scenario_427 | 492.954 |\n",
      "| scenario_428 | 502.954 |\n",
      "| scenario_429 | 542.954 |\n",
      "| scenario_430 | 552.954 |\n",
      "| scenario_431 | 562.954 |\n",
      "+--------------+---------+\n",
      "EEV = 388.40\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "import logging\n",
    "import sys\n",
    "logging.getLogger('pyomo.core').setLevel(logging.ERROR)\n",
    "EEV_l_qb = [] #operation cost minimization\n",
    "ind_qb = []\n",
    "max_demand=14\n",
    "total_xbar_qb = sum(xbar_qb)\n",
    "diff = max(0, max_demand-total_xbar_qb)\n",
    "xbar_qb_adj = np.array(xbar_qb)+[0, 0 , 0, 0, diff]\n",
    "old_stdout = sys.stdout\n",
    "for s in tqdm(scenarios_q2.iterrows()):\n",
    "    model_eev_qb = create_eev_model_qb(x_bar=xbar_qb_adj, random_parameters=[1,1,1,1, s[1][4], s[1][5], s[1][6]])\n",
    "    SolverFactory('gurobi').solve(model_eev_qb)\n",
    "    try:\n",
    "\n",
    "        sys.stdout = open(os.devnull, 'w')\n",
    "\n",
    "        EEV_l_qb.append(sum(np.array([10, 7 , 16, 6, 0])*np.array(xbar_qb))+ value(model_eev_qb.obj))\n",
    "        ind_qb.append(s[0])\n",
    "    except:\n",
    "         pass\n",
    "\n",
    "sys.stdout = old_stdout\n",
    "EEV_df = pd.DataFrame(index=ind_qb, data={'EEV_l':EEV_l_qb})\n",
    "print(tabulate(EEV_df, headers=['Scenarios', 'EEV_l'], tablefmt='psql'))\n",
    "print('EEV = %.2f'%np.mean(EEV_l_qb))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff30dbc1",
   "metadata": {},
   "source": [
    "<span style=\"color:blue;font-weight:800;font-size:30px\">\n",
    "Addition of random parameter in mode duration for $T_{i=\\{2,3\\}}$</span>\n",
    "\n",
    "## Formulation of the modified recourse model (MOD3)\n",
    "The stochastic 2-stage model can be formulated by adding the new random parameters to the previouse recourse model\n",
    "(MOD2) as follows:\n",
    "<center>$\n",
    "\\min_{x\\geq0}{\\underbrace{\\left\\{\\sum_{i=1}^nc_ix_i+\\underbrace{\\mathbb{E}_{\\xi}\\left[\\min_{y\\geq0}\\left\\{\\sum_{i=1}^n \\sum_{j=1}^kq_i\\tau_jy_{ij}\\right\\}\\right]}_{\\text{second stage}}\\right\\}}_{\\text{first stage}}}$</center><br>\n",
    "<ul><ul><ul><ul><em>subject to:</em><br></ul></ul></ul></ul>\n",
    "</center>\n",
    " <center>\n",
    "$\n",
    "\\begin{align}\n",
    "\\text{first stage constraints:}&\\\\\n",
    "&\\sum_{i=1}^nc_ix_i\\leq c_{max}\\\\\n",
    "\\text{second stage constraints:}&\\\\\n",
    "&\\sum_{j=1}^ky_{ij}\\leq \\alpha_ix_i&&\\quad \\quad i=\\{1,\\cdots,n\\}\\\\\n",
    "&\\sum_{i=1}^ny_{ij}\\geq \\xi_j&&\\quad \\quad j=\\{1,\\cdots,k\\}\n",
    "\\end{align}\n",
    "$\n",
    "</center><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1810275",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Sampling and scenario generations from continous and discrete distributions<br>\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9e7f7c09",
   "metadata": {},
   "outputs": [],
   "source": [
    "scenarios_q3, scenarios_q3_prob = generate_scenario_qc(number_of_samples, plot=False, seed=1245) \n",
    "#Fix seed at 1225 for reproducibility"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3df8b7ad",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EV and $\\bar{x}$ for Q(c)\n",
    "</span>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2a7df332",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------+------------------------+------------+------------+------------+\n",
      "| Technologies | Installed Capacity (x̄) | Usage (T1) | Usage (T2) | Usage (T3) |\n",
      "+--------------+------------------------+------------+------------+------------+\n",
      "| Technology-1 |   9.194074809305786    |    5.0     |    3.0     |    0.0     |\n",
      "| Technology-2 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-3 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-4 |          0.0           |    0.0     |    0.0     |    0.0     |\n",
      "| Technology-5 |          2.0           |    0.0     |    0.0     |    2.0     |\n",
      "+--------------+------------------------+------------+------------+------------+\n",
      "Total investment cost     = 91.94074809305786\n",
      "Total operation cost = 292.0\n",
      "Total objective cost (EV) = 383.9407480930579\n"
     ]
    }
   ],
   "source": [
    "mean_values_qc = [6, 1,\n",
    "                  scenarios_q3['alpha_1'].mean(), scenarios_q3['alpha_2'].mean(),\n",
    "                  scenarios_q3['alpha_3'].mean(), scenarios_q3['alpha_4'].mean(),\n",
    "                  scenarios_q3['xi_1'].mean(), scenarios_q3['xi_2'].mean(),\n",
    "                  scenarios_q3['xi_3'].mean()]\n",
    "expected_value_model_qc = create_model_qc(random_parameters=mean_values_qc) # By default all random parameters are set to 1\n",
    "SolverFactory('gurobi').solve(expected_value_model_qc)\n",
    "print_res(expected_value_model_qc, question='qb')\n",
    "xbar_qc = [expected_value_model_qc.x[n].value for n in expected_value_model_qc.n]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "743ff50c",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Solving two stage (TS) recourse model for Q(c) using L-shaped method\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "23828360",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current Iteration: 4 Time Elapsed:  506.37 Time Spent on Last Master:    0.32 Time Spent Generating Last Cut Set:  193.18 Current Objective:  224.00\n",
      "Current Iteration: 5 Time Elapsed:  667.52 Time Spent on Last Master:    0.37 Time Spent Generating Last Cut Set:  160.76 Current Objective:  315.59\n",
      "Current Iteration: 6 Time Elapsed:  854.73 Time Spent on Last Master:    0.85 Time Spent Generating Last Cut Set:  186.35 Current Objective:  361.49\n",
      "[  563.53] Initializing SPBase\n",
      "Current Iteration: 1 Time Elapsed:    0.00 Current Objective: -Inf\n",
      "Current Iteration: 7 Time Elapsed: 1019.00 Time Spent on Last Master:    0.65 Time Spent Generating Last Cut Set:  163.62 Current Objective:  386.68\n",
      "Current Iteration: 2 Time Elapsed:  153.70 Time Spent on Last Master:    0.14 Time Spent Generating Last Cut Set:  153.56 Current Objective: -746496000.00\n",
      "Current Iteration: 8 Time Elapsed: 1179.49 Time Spent on Last Master:    0.72 Time Spent Generating Last Cut Set:  159.76 Current Objective:  395.21\n",
      "Current Iteration: 3 Time Elapsed:  309.04 Time Spent on Last Master:    0.21 Time Spent Generating Last Cut Set:  155.13 Current Objective:  224.00\n",
      "Current Iteration: 9 Time Elapsed: 1340.07 Time Spent on Last Master:    0.78 Time Spent Generating Last Cut Set:  159.79 Current Objective:  397.34\n",
      "Current Iteration: 4 Time Elapsed:  465.53 Time Spent on Last Master:    0.29 Time Spent Generating Last Cut Set:  156.19 Current Objective:  224.00\n",
      "Current Iteration: 10 Time Elapsed: 1502.22 Time Spent on Last Master:    0.81 Time Spent Generating Last Cut Set:  161.34 Current Objective:  398.11\n",
      "Current Iteration: 5 Time Elapsed:  624.96 Time Spent on Last Master:    0.38 Time Spent Generating Last Cut Set:  159.05 Current Objective:  315.59\n",
      "Converged in 10 iterations.\n",
      "Total Time Elapsed: 1664.36 Time Spent on Last Master:    0.81 Time spent verifying second stage:  161.32 Final Objective:  398.13\n",
      "+--------------+------------------------+\n",
      "| Technologies | Installed Capacity (x̄) |\n",
      "+--------------+------------------------+\n",
      "| Technology-1 |   7.821702717726267    |\n",
      "| Technology-2 |   2.516376188566628    |\n",
      "| Technology-3 |          0.0           |\n",
      "| Technology-4 |   1.089011138667235    |\n",
      "+--------------+------------------------+\n",
      "Current Iteration: 6 Time Elapsed:  786.15 Time Spent on Last Master:    0.55 Time Spent Generating Last Cut Set:  160.63 Current Objective:  361.49\n",
      "Current Iteration: 7 Time Elapsed:  960.70 Time Spent on Last Master:    0.64 Time Spent Generating Last Cut Set:  173.91 Current Objective:  386.68\n",
      "Current Iteration: 8 Time Elapsed: 1124.48 Time Spent on Last Master:    0.70 Time Spent Generating Last Cut Set:  163.07 Current Objective:  395.21\n",
      "Current Iteration: 9 Time Elapsed: 1262.64 Time Spent on Last Master:    0.55 Time Spent Generating Last Cut Set:  137.60 Current Objective:  397.34\n",
      "Current Iteration: 10 Time Elapsed: 1400.95 Time Spent on Last Master:    0.62 Time Spent Generating Last Cut Set:  137.69 Current Objective:  398.11\n",
      "Converged in 10 iterations.\n",
      "Total Time Elapsed: 1537.85 Time Spent on Last Master:    0.62 Time spent verifying second stage:  136.27 Final Objective:  398.13\n",
      "+--------------+------------------------+\n",
      "| Technologies | Installed Capacity (x̄) |\n",
      "+--------------+------------------------+\n",
      "| Technology-1 |   7.821702717726267    |\n",
      "| Technology-2 |   2.516376188566628    |\n",
      "| Technology-3 |          0.0           |\n",
      "| Technology-4 |   1.089011138667235    |\n",
      "+--------------+------------------------+\n"
     ]
    }
   ],
   "source": [
    "options_qc_LS = {\"root_solver\": \"gurobi\",\n",
    "                 \"sp_solver\": \"gurobi\",\n",
    "                 \"sp_solver_options\" : {\"threads\" : 1},\n",
    "                 \"valid_eta_lb\": {name: -432000 for name in list(scenarios_q3.index)},\n",
    "                 \"max_iter\": 15}\n",
    "ls_qc = LShapedMethod(options_qc_LS, \n",
    "                   list(scenarios_q3.index), \n",
    "                   scenario_creator_qc, \n",
    "                   scenario_creator_kwargs = {'S':scenarios_q3, 'prob_df':scenarios_q3_prob})\n",
    "result = ls_qc.lshaped_algorithm()\n",
    "print_res_ts(ls_qc.root)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37e1f151",
   "metadata": {},
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of Wait and See solution\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9ef24727",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "1728it [03:06,  9.28it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          Scenarios  Technology-1  Technology-2  Technology-3  Technology-4  \\\n",
      "0        scenario_0      3.549013      2.585993           0.0      0.000000   \n",
      "1        scenario_1      3.549013      2.585993           0.0      0.000000   \n",
      "2        scenario_2      3.549013      2.585993           0.0      0.000000   \n",
      "3        scenario_3      3.549013      3.878990           0.0      0.000000   \n",
      "4        scenario_4      3.549013      3.878990           0.0      0.000000   \n",
      "...             ...           ...           ...           ...           ...   \n",
      "1723  scenario_1723     11.173861      0.000000           0.0      1.376898   \n",
      "1724  scenario_1724     11.173861      0.000000           0.0      1.376898   \n",
      "1725  scenario_1725     10.916097      1.548434           0.0      0.000000   \n",
      "1726  scenario_1726     10.916097      1.548434           0.0      0.000000   \n",
      "1727  scenario_1727     10.916097      1.548434           0.0      0.000000   \n",
      "\n",
      "      Technology-5  Total Investment  Total Operation Cost  \\\n",
      "0         1.000000         53.592082            170.000000   \n",
      "1         2.000000         53.592082            175.000000   \n",
      "2         3.000000         53.592082            180.000000   \n",
      "3         1.000000         62.643058            192.500000   \n",
      "4         2.000000         62.643058            197.500000   \n",
      "...            ...               ...                   ...   \n",
      "1723      0.652328        120.000000            394.387085   \n",
      "1724      1.652328        120.000000            411.887085   \n",
      "1725      1.000000        120.000000            422.115070   \n",
      "1726      2.000000        120.000000            439.615070   \n",
      "1727      3.000000        120.000000            457.115070   \n",
      "\n",
      "      Total objective cost  \n",
      "0               223.592082  \n",
      "1               228.592082  \n",
      "2               233.592082  \n",
      "3               255.143058  \n",
      "4               260.143058  \n",
      "...                    ...  \n",
      "1723            514.387085  \n",
      "1724            531.887085  \n",
      "1725            542.115070  \n",
      "1726            559.615070  \n",
      "1727            577.115070  \n",
      "\n",
      "[1728 rows x 9 columns]\n",
      "------------------------- Average value of wait and see -------------------------------\n",
      "Items                        Average Values\n",
      "-------------------------  ----------------\n",
      "Technology-1                       8.03356\n",
      "Technology-2                       1.2687\n",
      "Technology-3                       0\n",
      "Technology-4                       0.905624\n",
      "Technology-5                       1.14156\n",
      "Total Investment                  94.6502\n",
      "Total Operation Cost             293.411\n",
      "Total objective cost (WS)        388.062\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "1728it [02:40, 10.79it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          Scenarios  Technology-1  Technology-2  Technology-3  Technology-4  \\\n",
      "0        scenario_0      3.549013      2.585993           0.0      0.000000   \n",
      "1        scenario_1      3.549013      2.585993           0.0      0.000000   \n",
      "2        scenario_2      3.549013      2.585993           0.0      0.000000   \n",
      "3        scenario_3      3.549013      3.878990           0.0      0.000000   \n",
      "4        scenario_4      3.549013      3.878990           0.0      0.000000   \n",
      "...             ...           ...           ...           ...           ...   \n",
      "1723  scenario_1723     11.173861      0.000000           0.0      1.376898   \n",
      "1724  scenario_1724     11.173861      0.000000           0.0      1.376898   \n",
      "1725  scenario_1725     10.916097      1.548434           0.0      0.000000   \n",
      "1726  scenario_1726     10.916097      1.548434           0.0      0.000000   \n",
      "1727  scenario_1727     10.916097      1.548434           0.0      0.000000   \n",
      "\n",
      "      Technology-5  Total Investment  Total Operation Cost  \\\n",
      "0         1.000000         53.592082            170.000000   \n",
      "1         2.000000         53.592082            175.000000   \n",
      "2         3.000000         53.592082            180.000000   \n",
      "3         1.000000         62.643058            192.500000   \n",
      "4         2.000000         62.643058            197.500000   \n",
      "...            ...               ...                   ...   \n",
      "1723      0.652328        120.000000            394.387085   \n",
      "1724      1.652328        120.000000            411.887085   \n",
      "1725      1.000000        120.000000            422.115070   \n",
      "1726      2.000000        120.000000            439.615070   \n",
      "1727      3.000000        120.000000            457.115070   \n",
      "\n",
      "      Total objective cost  \n",
      "0               223.592082  \n",
      "1               228.592082  \n",
      "2               233.592082  \n",
      "3               255.143058  \n",
      "4               260.143058  \n",
      "...                    ...  \n",
      "1723            514.387085  \n",
      "1724            531.887085  \n",
      "1725            542.115070  \n",
      "1726            559.615070  \n",
      "1727            577.115070  \n",
      "\n",
      "[1728 rows x 9 columns]\n",
      "------------------------- Average value of wait and see -------------------------------\n",
      "Items                        Average Values\n",
      "-------------------------  ----------------\n",
      "Technology-1                       8.03356\n",
      "Technology-2                       1.2687\n",
      "Technology-3                       0\n",
      "Technology-4                       0.905624\n",
      "Technology-5                       1.14156\n",
      "Total Investment                  94.6502\n",
      "Total Operation Cost             293.411\n",
      "Total objective cost (WS)        388.062\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "solve_ws_qc(all_scenarios=scenarios_q3, create_model=create_model_qc)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "<span style=\"color:red;font-weight:400;font-size:20px\">\n",
    "Calculation of EEV for Q (c)\n",
    "</span>"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "1728it [02:47, 10.32it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------+------------+\n",
      "| Scenarios     |   EEV_l_qc |\n",
      "|---------------+------------|\n",
      "| scenario_0    |    253.941 |\n",
      "| scenario_1    |    255.941 |\n",
      "| scenario_2    |    258.625 |\n",
      "| scenario_3    |    273.941 |\n",
      "| scenario_4    |    276.625 |\n",
      "| scenario_5    |    281.625 |\n",
      "| scenario_6    |    294.625 |\n",
      "| scenario_7    |    299.625 |\n",
      "| scenario_9    |    334.625 |\n",
      "| scenario_10   |    339.625 |\n",
      "| scenario_12   |    363.787 |\n",
      "| scenario_27   |    253.941 |\n",
      "| scenario_28   |    255.941 |\n",
      "| scenario_29   |    258.625 |\n",
      "| scenario_30   |    273.941 |\n",
      "| scenario_31   |    276.625 |\n",
      "| scenario_32   |    281.625 |\n",
      "| scenario_33   |    294.625 |\n",
      "| scenario_34   |    299.625 |\n",
      "| scenario_36   |    334.625 |\n",
      "| scenario_37   |    339.625 |\n",
      "| scenario_39   |    363.787 |\n",
      "| scenario_54   |    253.941 |\n",
      "| scenario_55   |    255.941 |\n",
      "| scenario_56   |    258.625 |\n",
      "| scenario_57   |    273.941 |\n",
      "| scenario_58   |    276.625 |\n",
      "| scenario_59   |    281.625 |\n",
      "| scenario_60   |    294.625 |\n",
      "| scenario_61   |    299.625 |\n",
      "| scenario_63   |    334.625 |\n",
      "| scenario_64   |    339.625 |\n",
      "| scenario_66   |    363.787 |\n",
      "| scenario_81   |    253.941 |\n",
      "| scenario_82   |    255.941 |\n",
      "| scenario_83   |    258.625 |\n",
      "| scenario_84   |    273.941 |\n",
      "| scenario_85   |    276.625 |\n",
      "| scenario_86   |    281.625 |\n",
      "| scenario_87   |    294.625 |\n",
      "| scenario_88   |    299.625 |\n",
      "| scenario_90   |    334.625 |\n",
      "| scenario_91   |    339.625 |\n",
      "| scenario_93   |    363.787 |\n",
      "| scenario_108  |    253.941 |\n",
      "| scenario_109  |    255.941 |\n",
      "| scenario_110  |    258.625 |\n",
      "| scenario_111  |    273.941 |\n",
      "| scenario_112  |    276.625 |\n",
      "| scenario_113  |    281.625 |\n",
      "| scenario_114  |    294.625 |\n",
      "| scenario_115  |    299.625 |\n",
      "| scenario_117  |    334.625 |\n",
      "| scenario_118  |    339.625 |\n",
      "| scenario_120  |    363.787 |\n",
      "| scenario_135  |    253.941 |\n",
      "| scenario_136  |    255.941 |\n",
      "| scenario_137  |    258.625 |\n",
      "| scenario_138  |    273.941 |\n",
      "| scenario_139  |    276.625 |\n",
      "| scenario_140  |    281.625 |\n",
      "| scenario_141  |    294.625 |\n",
      "| scenario_142  |    299.625 |\n",
      "| scenario_144  |    334.625 |\n",
      "| scenario_145  |    339.625 |\n",
      "| scenario_147  |    363.787 |\n",
      "| scenario_162  |    253.941 |\n",
      "| scenario_163  |    255.941 |\n",
      "| scenario_164  |    258.625 |\n",
      "| scenario_165  |    273.941 |\n",
      "| scenario_166  |    276.625 |\n",
      "| scenario_167  |    281.625 |\n",
      "| scenario_168  |    294.625 |\n",
      "| scenario_169  |    299.625 |\n",
      "| scenario_171  |    334.625 |\n",
      "| scenario_172  |    339.625 |\n",
      "| scenario_174  |    363.787 |\n",
      "| scenario_189  |    253.941 |\n",
      "| scenario_190  |    255.941 |\n",
      "| scenario_191  |    258.625 |\n",
      "| scenario_192  |    273.941 |\n",
      "| scenario_193  |    276.625 |\n",
      "| scenario_194  |    281.625 |\n",
      "| scenario_195  |    294.625 |\n",
      "| scenario_196  |    299.625 |\n",
      "| scenario_198  |    334.625 |\n",
      "| scenario_199  |    339.625 |\n",
      "| scenario_201  |    363.787 |\n",
      "| scenario_216  |    253.941 |\n",
      "| scenario_217  |    255.941 |\n",
      "| scenario_218  |    257.941 |\n",
      "| scenario_219  |    273.941 |\n",
      "| scenario_220  |    275.941 |\n",
      "| scenario_221  |    280.256 |\n",
      "| scenario_222  |    293.941 |\n",
      "| scenario_223  |    298.256 |\n",
      "| scenario_224  |    303.256 |\n",
      "| scenario_225  |    333.941 |\n",
      "| scenario_226  |    338.256 |\n",
      "| scenario_227  |    343.256 |\n",
      "| scenario_228  |    356.256 |\n",
      "| scenario_229  |    361.256 |\n",
      "| scenario_231  |    400.095 |\n",
      "| scenario_234  |    440.095 |\n",
      "| scenario_243  |    253.941 |\n",
      "| scenario_244  |    255.941 |\n",
      "| scenario_245  |    257.941 |\n",
      "| scenario_246  |    273.941 |\n",
      "| scenario_247  |    275.941 |\n",
      "| scenario_248  |    280.256 |\n",
      "| scenario_249  |    293.941 |\n",
      "| scenario_250  |    298.256 |\n",
      "| scenario_251  |    303.256 |\n",
      "| scenario_252  |    333.941 |\n",
      "| scenario_253  |    338.256 |\n",
      "| scenario_254  |    343.256 |\n",
      "| scenario_255  |    356.256 |\n",
      "| scenario_256  |    361.256 |\n",
      "| scenario_258  |    400.095 |\n",
      "| scenario_261  |    440.095 |\n",
      "| scenario_270  |    253.941 |\n",
      "| scenario_271  |    255.941 |\n",
      "| scenario_272  |    257.941 |\n",
      "| scenario_273  |    273.941 |\n",
      "| scenario_274  |    275.941 |\n",
      "| scenario_275  |    280.256 |\n",
      "| scenario_276  |    293.941 |\n",
      "| scenario_277  |    298.256 |\n",
      "| scenario_278  |    303.256 |\n",
      "| scenario_279  |    333.941 |\n",
      "| scenario_280  |    338.256 |\n",
      "| scenario_281  |    343.256 |\n",
      "| scenario_282  |    356.256 |\n",
      "| scenario_283  |    361.256 |\n",
      "| scenario_285  |    400.095 |\n",
      "| scenario_288  |    440.095 |\n",
      "| scenario_297  |    253.941 |\n",
      "| scenario_298  |    255.941 |\n",
      "| scenario_299  |    257.941 |\n",
      "| scenario_300  |    273.941 |\n",
      "| scenario_301  |    275.941 |\n",
      "| scenario_302  |    280.256 |\n",
      "| scenario_303  |    293.941 |\n",
      "| scenario_304  |    298.256 |\n",
      "| scenario_305  |    303.256 |\n",
      "| scenario_306  |    333.941 |\n",
      "| scenario_307  |    338.256 |\n",
      "| scenario_308  |    343.256 |\n",
      "| scenario_309  |    356.256 |\n",
      "| scenario_310  |    361.256 |\n",
      "| scenario_312  |    400.095 |\n",
      "| scenario_315  |    440.095 |\n",
      "| scenario_324  |    253.941 |\n",
      "| scenario_325  |    255.941 |\n",
      "| scenario_326  |    257.941 |\n",
      "| scenario_327  |    273.941 |\n",
      "| scenario_328  |    275.941 |\n",
      "| scenario_329  |    280.256 |\n",
      "| scenario_330  |    293.941 |\n",
      "| scenario_331  |    298.256 |\n",
      "| scenario_332  |    303.256 |\n",
      "| scenario_333  |    333.941 |\n",
      "| scenario_334  |    338.256 |\n",
      "| scenario_335  |    343.256 |\n",
      "| scenario_336  |    356.256 |\n",
      "| scenario_337  |    361.256 |\n",
      "| scenario_339  |    400.095 |\n",
      "| scenario_342  |    440.095 |\n",
      "| scenario_351  |    253.941 |\n",
      "| scenario_352  |    255.941 |\n",
      "| scenario_353  |    257.941 |\n",
      "| scenario_354  |    273.941 |\n",
      "| scenario_355  |    275.941 |\n",
      "| scenario_356  |    280.256 |\n",
      "| scenario_357  |    293.941 |\n",
      "| scenario_358  |    298.256 |\n",
      "| scenario_359  |    303.256 |\n",
      "| scenario_360  |    333.941 |\n",
      "| scenario_361  |    338.256 |\n",
      "| scenario_362  |    343.256 |\n",
      "| scenario_363  |    356.256 |\n",
      "| scenario_364  |    361.256 |\n",
      "| scenario_366  |    400.095 |\n",
      "| scenario_369  |    440.095 |\n",
      "| scenario_378  |    253.941 |\n",
      "| scenario_379  |    255.941 |\n",
      "| scenario_380  |    257.941 |\n",
      "| scenario_381  |    273.941 |\n",
      "| scenario_382  |    275.941 |\n",
      "| scenario_383  |    280.256 |\n",
      "| scenario_384  |    293.941 |\n",
      "| scenario_385  |    298.256 |\n",
      "| scenario_386  |    303.256 |\n",
      "| scenario_387  |    333.941 |\n",
      "| scenario_388  |    338.256 |\n",
      "| scenario_389  |    343.256 |\n",
      "| scenario_390  |    356.256 |\n",
      "| scenario_391  |    361.256 |\n",
      "| scenario_393  |    400.095 |\n",
      "| scenario_396  |    440.095 |\n",
      "| scenario_405  |    253.941 |\n",
      "| scenario_406  |    255.941 |\n",
      "| scenario_407  |    257.941 |\n",
      "| scenario_408  |    273.941 |\n",
      "| scenario_409  |    275.941 |\n",
      "| scenario_410  |    280.256 |\n",
      "| scenario_411  |    293.941 |\n",
      "| scenario_412  |    298.256 |\n",
      "| scenario_413  |    303.256 |\n",
      "| scenario_414  |    333.941 |\n",
      "| scenario_415  |    338.256 |\n",
      "| scenario_416  |    343.256 |\n",
      "| scenario_417  |    356.256 |\n",
      "| scenario_418  |    361.256 |\n",
      "| scenario_420  |    400.095 |\n",
      "| scenario_423  |    440.095 |\n",
      "| scenario_432  |    258.941 |\n",
      "| scenario_433  |    265.941 |\n",
      "| scenario_434  |    275.337 |\n",
      "| scenario_435  |    278.941 |\n",
      "| scenario_436  |    288.337 |\n",
      "| scenario_437  |    305.837 |\n",
      "| scenario_438  |    301.337 |\n",
      "| scenario_439  |    318.837 |\n",
      "| scenario_441  |    341.337 |\n",
      "| scenario_442  |    358.837 |\n",
      "| scenario_444  |    376.287 |\n",
      "| scenario_459  |    258.941 |\n",
      "| scenario_460  |    265.941 |\n",
      "| scenario_461  |    275.337 |\n",
      "| scenario_462  |    278.941 |\n",
      "| scenario_463  |    288.337 |\n",
      "| scenario_464  |    305.837 |\n",
      "| scenario_465  |    301.337 |\n",
      "| scenario_466  |    318.837 |\n",
      "| scenario_468  |    341.337 |\n",
      "| scenario_469  |    358.837 |\n",
      "| scenario_471  |    376.287 |\n",
      "| scenario_486  |    258.941 |\n",
      "| scenario_487  |    265.941 |\n",
      "| scenario_488  |    275.337 |\n",
      "| scenario_489  |    278.941 |\n",
      "| scenario_490  |    288.337 |\n",
      "| scenario_491  |    305.837 |\n",
      "| scenario_492  |    301.337 |\n",
      "| scenario_493  |    318.837 |\n",
      "| scenario_495  |    341.337 |\n",
      "| scenario_496  |    358.837 |\n",
      "| scenario_498  |    376.287 |\n",
      "| scenario_513  |    258.941 |\n",
      "| scenario_514  |    265.941 |\n",
      "| scenario_515  |    275.337 |\n",
      "| scenario_516  |    278.941 |\n",
      "| scenario_517  |    288.337 |\n",
      "| scenario_518  |    305.837 |\n",
      "| scenario_519  |    301.337 |\n",
      "| scenario_520  |    318.837 |\n",
      "| scenario_522  |    341.337 |\n",
      "| scenario_523  |    358.837 |\n",
      "| scenario_525  |    376.287 |\n",
      "| scenario_540  |    258.941 |\n",
      "| scenario_541  |    265.941 |\n",
      "| scenario_542  |    275.337 |\n",
      "| scenario_543  |    278.941 |\n",
      "| scenario_544  |    288.337 |\n",
      "| scenario_545  |    305.837 |\n",
      "| scenario_546  |    301.337 |\n",
      "| scenario_547  |    318.837 |\n",
      "| scenario_549  |    341.337 |\n",
      "| scenario_550  |    358.837 |\n",
      "| scenario_552  |    376.287 |\n",
      "| scenario_567  |    258.941 |\n",
      "| scenario_568  |    265.941 |\n",
      "| scenario_569  |    275.337 |\n",
      "| scenario_570  |    278.941 |\n",
      "| scenario_571  |    288.337 |\n",
      "| scenario_572  |    305.837 |\n",
      "| scenario_573  |    301.337 |\n",
      "| scenario_574  |    318.837 |\n",
      "| scenario_576  |    341.337 |\n",
      "| scenario_577  |    358.837 |\n",
      "| scenario_579  |    376.287 |\n",
      "| scenario_594  |    258.941 |\n",
      "| scenario_595  |    265.941 |\n",
      "| scenario_596  |    275.337 |\n",
      "| scenario_597  |    278.941 |\n",
      "| scenario_598  |    288.337 |\n",
      "| scenario_599  |    305.837 |\n",
      "| scenario_600  |    301.337 |\n",
      "| scenario_601  |    318.837 |\n",
      "| scenario_603  |    341.337 |\n",
      "| scenario_604  |    358.837 |\n",
      "| scenario_606  |    376.287 |\n",
      "| scenario_621  |    258.941 |\n",
      "| scenario_622  |    265.941 |\n",
      "| scenario_623  |    275.337 |\n",
      "| scenario_624  |    278.941 |\n",
      "| scenario_625  |    288.337 |\n",
      "| scenario_626  |    305.837 |\n",
      "| scenario_627  |    301.337 |\n",
      "| scenario_628  |    318.837 |\n",
      "| scenario_630  |    341.337 |\n",
      "| scenario_631  |    358.837 |\n",
      "| scenario_633  |    376.287 |\n",
      "| scenario_648  |    258.941 |\n",
      "| scenario_649  |    265.941 |\n",
      "| scenario_650  |    272.941 |\n",
      "| scenario_651  |    278.941 |\n",
      "| scenario_652  |    285.941 |\n",
      "| scenario_653  |    301.045 |\n",
      "| scenario_654  |    298.941 |\n",
      "| scenario_655  |    314.045 |\n",
      "| scenario_656  |    331.545 |\n",
      "| scenario_657  |    338.941 |\n",
      "| scenario_658  |    354.045 |\n",
      "| scenario_659  |    371.545 |\n",
      "| scenario_660  |    367.045 |\n",
      "| scenario_661  |    384.545 |\n",
      "| scenario_663  |    412.595 |\n",
      "| scenario_666  |    452.595 |\n",
      "| scenario_675  |    258.941 |\n",
      "| scenario_676  |    265.941 |\n",
      "| scenario_677  |    272.941 |\n",
      "| scenario_678  |    278.941 |\n",
      "| scenario_679  |    285.941 |\n",
      "| scenario_680  |    301.045 |\n",
      "| scenario_681  |    298.941 |\n",
      "| scenario_682  |    314.045 |\n",
      "| scenario_683  |    331.545 |\n",
      "| scenario_684  |    338.941 |\n",
      "| scenario_685  |    354.045 |\n",
      "| scenario_686  |    371.545 |\n",
      "| scenario_687  |    367.045 |\n",
      "| scenario_688  |    384.545 |\n",
      "| scenario_690  |    412.595 |\n",
      "| scenario_693  |    452.595 |\n",
      "| scenario_702  |    258.941 |\n",
      "| scenario_703  |    265.941 |\n",
      "| scenario_704  |    272.941 |\n",
      "| scenario_705  |    278.941 |\n",
      "| scenario_706  |    285.941 |\n",
      "| scenario_707  |    301.045 |\n",
      "| scenario_708  |    298.941 |\n",
      "| scenario_709  |    314.045 |\n",
      "| scenario_710  |    331.545 |\n",
      "| scenario_711  |    338.941 |\n",
      "| scenario_712  |    354.045 |\n",
      "| scenario_713  |    371.545 |\n",
      "| scenario_714  |    367.045 |\n",
      "| scenario_715  |    384.545 |\n",
      "| scenario_717  |    412.595 |\n",
      "| scenario_720  |    452.595 |\n",
      "| scenario_729  |    258.941 |\n",
      "| scenario_730  |    265.941 |\n",
      "| scenario_731  |    272.941 |\n",
      "| scenario_732  |    278.941 |\n",
      "| scenario_733  |    285.941 |\n",
      "| scenario_734  |    301.045 |\n",
      "| scenario_735  |    298.941 |\n",
      "| scenario_736  |    314.045 |\n",
      "| scenario_737  |    331.545 |\n",
      "| scenario_738  |    338.941 |\n",
      "| scenario_739  |    354.045 |\n",
      "| scenario_740  |    371.545 |\n",
      "| scenario_741  |    367.045 |\n",
      "| scenario_742  |    384.545 |\n",
      "| scenario_744  |    412.595 |\n",
      "| scenario_747  |    452.595 |\n",
      "| scenario_756  |    258.941 |\n",
      "| scenario_757  |    265.941 |\n",
      "| scenario_758  |    272.941 |\n",
      "| scenario_759  |    278.941 |\n",
      "| scenario_760  |    285.941 |\n",
      "| scenario_761  |    301.045 |\n",
      "| scenario_762  |    298.941 |\n",
      "| scenario_763  |    314.045 |\n",
      "| scenario_764  |    331.545 |\n",
      "| scenario_765  |    338.941 |\n",
      "| scenario_766  |    354.045 |\n",
      "| scenario_767  |    371.545 |\n",
      "| scenario_768  |    367.045 |\n",
      "| scenario_769  |    384.545 |\n",
      "| scenario_771  |    412.595 |\n",
      "| scenario_774  |    452.595 |\n",
      "| scenario_783  |    258.941 |\n",
      "| scenario_784  |    265.941 |\n",
      "| scenario_785  |    272.941 |\n",
      "| scenario_786  |    278.941 |\n",
      "| scenario_787  |    285.941 |\n",
      "| scenario_788  |    301.045 |\n",
      "| scenario_789  |    298.941 |\n",
      "| scenario_790  |    314.045 |\n",
      "| scenario_791  |    331.545 |\n",
      "| scenario_792  |    338.941 |\n",
      "| scenario_793  |    354.045 |\n",
      "| scenario_794  |    371.545 |\n",
      "| scenario_795  |    367.045 |\n",
      "| scenario_796  |    384.545 |\n",
      "| scenario_798  |    412.595 |\n",
      "| scenario_801  |    452.595 |\n",
      "| scenario_810  |    258.941 |\n",
      "| scenario_811  |    265.941 |\n",
      "| scenario_812  |    272.941 |\n",
      "| scenario_813  |    278.941 |\n",
      "| scenario_814  |    285.941 |\n",
      "| scenario_815  |    301.045 |\n",
      "| scenario_816  |    298.941 |\n",
      "| scenario_817  |    314.045 |\n",
      "| scenario_818  |    331.545 |\n",
      "| scenario_819  |    338.941 |\n",
      "| scenario_820  |    354.045 |\n",
      "| scenario_821  |    371.545 |\n",
      "| scenario_822  |    367.045 |\n",
      "| scenario_823  |    384.545 |\n",
      "| scenario_825  |    412.595 |\n",
      "| scenario_828  |    452.595 |\n",
      "| scenario_837  |    258.941 |\n",
      "| scenario_838  |    265.941 |\n",
      "| scenario_839  |    272.941 |\n",
      "| scenario_840  |    278.941 |\n",
      "| scenario_841  |    285.941 |\n",
      "| scenario_842  |    301.045 |\n",
      "| scenario_843  |    298.941 |\n",
      "| scenario_844  |    314.045 |\n",
      "| scenario_845  |    331.545 |\n",
      "| scenario_846  |    338.941 |\n",
      "| scenario_847  |    354.045 |\n",
      "| scenario_848  |    371.545 |\n",
      "| scenario_849  |    367.045 |\n",
      "| scenario_850  |    384.545 |\n",
      "| scenario_852  |    412.595 |\n",
      "| scenario_855  |    452.595 |\n",
      "| scenario_864  |    273.941 |\n",
      "| scenario_865  |    275.941 |\n",
      "| scenario_866  |    278.625 |\n",
      "| scenario_867  |    303.941 |\n",
      "| scenario_868  |    306.625 |\n",
      "| scenario_869  |    311.625 |\n",
      "| scenario_870  |    334.625 |\n",
      "| scenario_871  |    339.625 |\n",
      "| scenario_873  |    354.625 |\n",
      "| scenario_874  |    359.625 |\n",
      "| scenario_876  |    397.21  |\n",
      "| scenario_891  |    273.941 |\n",
      "| scenario_892  |    275.941 |\n",
      "| scenario_893  |    278.625 |\n",
      "| scenario_894  |    303.941 |\n",
      "| scenario_895  |    306.625 |\n",
      "| scenario_896  |    311.625 |\n",
      "| scenario_897  |    334.625 |\n",
      "| scenario_898  |    339.625 |\n",
      "| scenario_900  |    354.625 |\n",
      "| scenario_901  |    359.625 |\n",
      "| scenario_903  |    397.21  |\n",
      "| scenario_918  |    273.941 |\n",
      "| scenario_919  |    275.941 |\n",
      "| scenario_920  |    278.625 |\n",
      "| scenario_921  |    303.941 |\n",
      "| scenario_922  |    306.625 |\n",
      "| scenario_923  |    311.625 |\n",
      "| scenario_924  |    334.625 |\n",
      "| scenario_925  |    339.625 |\n",
      "| scenario_927  |    354.625 |\n",
      "| scenario_928  |    359.625 |\n",
      "| scenario_930  |    397.21  |\n",
      "| scenario_945  |    273.941 |\n",
      "| scenario_946  |    275.941 |\n",
      "| scenario_947  |    278.625 |\n",
      "| scenario_948  |    303.941 |\n",
      "| scenario_949  |    306.625 |\n",
      "| scenario_950  |    311.625 |\n",
      "| scenario_951  |    334.625 |\n",
      "| scenario_952  |    339.625 |\n",
      "| scenario_954  |    354.625 |\n",
      "| scenario_955  |    359.625 |\n",
      "| scenario_957  |    397.21  |\n",
      "| scenario_972  |    273.941 |\n",
      "| scenario_973  |    275.941 |\n",
      "| scenario_974  |    278.625 |\n",
      "| scenario_975  |    303.941 |\n",
      "| scenario_976  |    306.625 |\n",
      "| scenario_977  |    311.625 |\n",
      "| scenario_978  |    334.625 |\n",
      "| scenario_979  |    339.625 |\n",
      "| scenario_981  |    354.625 |\n",
      "| scenario_982  |    359.625 |\n",
      "| scenario_984  |    397.21  |\n",
      "| scenario_999  |    273.941 |\n",
      "| scenario_1000 |    275.941 |\n",
      "| scenario_1001 |    278.625 |\n",
      "| scenario_1002 |    303.941 |\n",
      "| scenario_1003 |    306.625 |\n",
      "| scenario_1004 |    311.625 |\n",
      "| scenario_1005 |    334.625 |\n",
      "| scenario_1006 |    339.625 |\n",
      "| scenario_1008 |    354.625 |\n",
      "| scenario_1009 |    359.625 |\n",
      "| scenario_1011 |    397.21  |\n",
      "| scenario_1026 |    273.941 |\n",
      "| scenario_1027 |    275.941 |\n",
      "| scenario_1028 |    278.625 |\n",
      "| scenario_1029 |    303.941 |\n",
      "| scenario_1030 |    306.625 |\n",
      "| scenario_1031 |    311.625 |\n",
      "| scenario_1032 |    334.625 |\n",
      "| scenario_1033 |    339.625 |\n",
      "| scenario_1035 |    354.625 |\n",
      "| scenario_1036 |    359.625 |\n",
      "| scenario_1038 |    397.21  |\n",
      "| scenario_1053 |    273.941 |\n",
      "| scenario_1054 |    275.941 |\n",
      "| scenario_1055 |    278.625 |\n",
      "| scenario_1056 |    303.941 |\n",
      "| scenario_1057 |    306.625 |\n",
      "| scenario_1058 |    311.625 |\n",
      "| scenario_1059 |    334.625 |\n",
      "| scenario_1060 |    339.625 |\n",
      "| scenario_1062 |    354.625 |\n",
      "| scenario_1063 |    359.625 |\n",
      "| scenario_1065 |    397.21  |\n",
      "| scenario_1080 |    273.941 |\n",
      "| scenario_1081 |    275.941 |\n",
      "| scenario_1082 |    277.941 |\n",
      "| scenario_1083 |    303.941 |\n",
      "| scenario_1084 |    305.941 |\n",
      "| scenario_1085 |    310.256 |\n",
      "| scenario_1086 |    333.941 |\n",
      "| scenario_1087 |    338.256 |\n",
      "| scenario_1088 |    343.256 |\n",
      "| scenario_1089 |    353.941 |\n",
      "| scenario_1090 |    358.256 |\n",
      "| scenario_1091 |    363.256 |\n",
      "| scenario_1092 |    386.256 |\n",
      "| scenario_1093 |    391.256 |\n",
      "| scenario_1095 |    451.672 |\n",
      "| scenario_1098 |    471.672 |\n",
      "| scenario_1107 |    273.941 |\n",
      "| scenario_1108 |    275.941 |\n",
      "| scenario_1109 |    277.941 |\n",
      "| scenario_1110 |    303.941 |\n",
      "| scenario_1111 |    305.941 |\n",
      "| scenario_1112 |    310.256 |\n",
      "| scenario_1113 |    333.941 |\n",
      "| scenario_1114 |    338.256 |\n",
      "| scenario_1115 |    343.256 |\n",
      "| scenario_1116 |    353.941 |\n",
      "| scenario_1117 |    358.256 |\n",
      "| scenario_1118 |    363.256 |\n",
      "| scenario_1119 |    386.256 |\n",
      "| scenario_1120 |    391.256 |\n",
      "| scenario_1122 |    451.672 |\n",
      "| scenario_1125 |    471.672 |\n",
      "| scenario_1134 |    273.941 |\n",
      "| scenario_1135 |    275.941 |\n",
      "| scenario_1136 |    277.941 |\n",
      "| scenario_1137 |    303.941 |\n",
      "| scenario_1138 |    305.941 |\n",
      "| scenario_1139 |    310.256 |\n",
      "| scenario_1140 |    333.941 |\n",
      "| scenario_1141 |    338.256 |\n",
      "| scenario_1142 |    343.256 |\n",
      "| scenario_1143 |    353.941 |\n",
      "| scenario_1144 |    358.256 |\n",
      "| scenario_1145 |    363.256 |\n",
      "| scenario_1146 |    386.256 |\n",
      "| scenario_1147 |    391.256 |\n",
      "| scenario_1149 |    451.672 |\n",
      "| scenario_1152 |    471.672 |\n",
      "| scenario_1161 |    273.941 |\n",
      "| scenario_1162 |    275.941 |\n",
      "| scenario_1163 |    277.941 |\n",
      "| scenario_1164 |    303.941 |\n",
      "| scenario_1165 |    305.941 |\n",
      "| scenario_1166 |    310.256 |\n",
      "| scenario_1167 |    333.941 |\n",
      "| scenario_1168 |    338.256 |\n",
      "| scenario_1169 |    343.256 |\n",
      "| scenario_1170 |    353.941 |\n",
      "| scenario_1171 |    358.256 |\n",
      "| scenario_1172 |    363.256 |\n",
      "| scenario_1173 |    386.256 |\n",
      "| scenario_1174 |    391.256 |\n",
      "| scenario_1176 |    451.672 |\n",
      "| scenario_1179 |    471.672 |\n",
      "| scenario_1188 |    273.941 |\n",
      "| scenario_1189 |    275.941 |\n",
      "| scenario_1190 |    277.941 |\n",
      "| scenario_1191 |    303.941 |\n",
      "| scenario_1192 |    305.941 |\n",
      "| scenario_1193 |    310.256 |\n",
      "| scenario_1194 |    333.941 |\n",
      "| scenario_1195 |    338.256 |\n",
      "| scenario_1196 |    343.256 |\n",
      "| scenario_1197 |    353.941 |\n",
      "| scenario_1198 |    358.256 |\n",
      "| scenario_1199 |    363.256 |\n",
      "| scenario_1200 |    386.256 |\n",
      "| scenario_1201 |    391.256 |\n",
      "| scenario_1203 |    451.672 |\n",
      "| scenario_1206 |    471.672 |\n",
      "| scenario_1215 |    273.941 |\n",
      "| scenario_1216 |    275.941 |\n",
      "| scenario_1217 |    277.941 |\n",
      "| scenario_1218 |    303.941 |\n",
      "| scenario_1219 |    305.941 |\n",
      "| scenario_1220 |    310.256 |\n",
      "| scenario_1221 |    333.941 |\n",
      "| scenario_1222 |    338.256 |\n",
      "| scenario_1223 |    343.256 |\n",
      "| scenario_1224 |    353.941 |\n",
      "| scenario_1225 |    358.256 |\n",
      "| scenario_1226 |    363.256 |\n",
      "| scenario_1227 |    386.256 |\n",
      "| scenario_1228 |    391.256 |\n",
      "| scenario_1230 |    451.672 |\n",
      "| scenario_1233 |    471.672 |\n",
      "| scenario_1242 |    273.941 |\n",
      "| scenario_1243 |    275.941 |\n",
      "| scenario_1244 |    277.941 |\n",
      "| scenario_1245 |    303.941 |\n",
      "| scenario_1246 |    305.941 |\n",
      "| scenario_1247 |    310.256 |\n",
      "| scenario_1248 |    333.941 |\n",
      "| scenario_1249 |    338.256 |\n",
      "| scenario_1250 |    343.256 |\n",
      "| scenario_1251 |    353.941 |\n",
      "| scenario_1252 |    358.256 |\n",
      "| scenario_1253 |    363.256 |\n",
      "| scenario_1254 |    386.256 |\n",
      "| scenario_1255 |    391.256 |\n",
      "| scenario_1257 |    451.672 |\n",
      "| scenario_1260 |    471.672 |\n",
      "| scenario_1269 |    273.941 |\n",
      "| scenario_1270 |    275.941 |\n",
      "| scenario_1271 |    277.941 |\n",
      "| scenario_1272 |    303.941 |\n",
      "| scenario_1273 |    305.941 |\n",
      "| scenario_1274 |    310.256 |\n",
      "| scenario_1275 |    333.941 |\n",
      "| scenario_1276 |    338.256 |\n",
      "| scenario_1277 |    343.256 |\n",
      "| scenario_1278 |    353.941 |\n",
      "| scenario_1279 |    358.256 |\n",
      "| scenario_1280 |    363.256 |\n",
      "| scenario_1281 |    386.256 |\n",
      "| scenario_1282 |    391.256 |\n",
      "| scenario_1284 |    451.672 |\n",
      "| scenario_1287 |    471.672 |\n",
      "| scenario_1296 |    278.941 |\n",
      "| scenario_1297 |    285.941 |\n",
      "| scenario_1298 |    295.337 |\n",
      "| scenario_1299 |    308.941 |\n",
      "| scenario_1300 |    318.337 |\n",
      "| scenario_1301 |    335.837 |\n",
      "| scenario_1302 |    341.337 |\n",
      "| scenario_1303 |    358.837 |\n",
      "| scenario_1305 |    361.337 |\n",
      "| scenario_1306 |    378.837 |\n",
      "| scenario_1308 |    409.71  |\n",
      "| scenario_1323 |    278.941 |\n",
      "| scenario_1324 |    285.941 |\n",
      "| scenario_1325 |    295.337 |\n",
      "| scenario_1326 |    308.941 |\n",
      "| scenario_1327 |    318.337 |\n",
      "| scenario_1328 |    335.837 |\n",
      "| scenario_1329 |    341.337 |\n",
      "| scenario_1330 |    358.837 |\n",
      "| scenario_1332 |    361.337 |\n",
      "| scenario_1333 |    378.837 |\n",
      "| scenario_1335 |    409.71  |\n",
      "| scenario_1350 |    278.941 |\n",
      "| scenario_1351 |    285.941 |\n",
      "| scenario_1352 |    295.337 |\n",
      "| scenario_1353 |    308.941 |\n",
      "| scenario_1354 |    318.337 |\n",
      "| scenario_1355 |    335.837 |\n",
      "| scenario_1356 |    341.337 |\n",
      "| scenario_1357 |    358.837 |\n",
      "| scenario_1359 |    361.337 |\n",
      "| scenario_1360 |    378.837 |\n",
      "| scenario_1362 |    409.71  |\n",
      "| scenario_1377 |    278.941 |\n",
      "| scenario_1378 |    285.941 |\n",
      "| scenario_1379 |    295.337 |\n",
      "| scenario_1380 |    308.941 |\n",
      "| scenario_1381 |    318.337 |\n",
      "| scenario_1382 |    335.837 |\n",
      "| scenario_1383 |    341.337 |\n",
      "| scenario_1384 |    358.837 |\n",
      "| scenario_1386 |    361.337 |\n",
      "| scenario_1387 |    378.837 |\n",
      "| scenario_1389 |    409.71  |\n",
      "| scenario_1404 |    278.941 |\n",
      "| scenario_1405 |    285.941 |\n",
      "| scenario_1406 |    295.337 |\n",
      "| scenario_1407 |    308.941 |\n",
      "| scenario_1408 |    318.337 |\n",
      "| scenario_1409 |    335.837 |\n",
      "| scenario_1410 |    341.337 |\n",
      "| scenario_1411 |    358.837 |\n",
      "| scenario_1413 |    361.337 |\n",
      "| scenario_1414 |    378.837 |\n",
      "| scenario_1416 |    409.71  |\n",
      "| scenario_1431 |    278.941 |\n",
      "| scenario_1432 |    285.941 |\n",
      "| scenario_1433 |    295.337 |\n",
      "| scenario_1434 |    308.941 |\n",
      "| scenario_1435 |    318.337 |\n",
      "| scenario_1436 |    335.837 |\n",
      "| scenario_1437 |    341.337 |\n",
      "| scenario_1438 |    358.837 |\n",
      "| scenario_1440 |    361.337 |\n",
      "| scenario_1441 |    378.837 |\n",
      "| scenario_1443 |    409.71  |\n",
      "| scenario_1458 |    278.941 |\n",
      "| scenario_1459 |    285.941 |\n",
      "| scenario_1460 |    295.337 |\n",
      "| scenario_1461 |    308.941 |\n",
      "| scenario_1462 |    318.337 |\n",
      "| scenario_1463 |    335.837 |\n",
      "| scenario_1464 |    341.337 |\n",
      "| scenario_1465 |    358.837 |\n",
      "| scenario_1467 |    361.337 |\n",
      "| scenario_1468 |    378.837 |\n",
      "| scenario_1470 |    409.71  |\n",
      "| scenario_1485 |    278.941 |\n",
      "| scenario_1486 |    285.941 |\n",
      "| scenario_1487 |    295.337 |\n",
      "| scenario_1488 |    308.941 |\n",
      "| scenario_1489 |    318.337 |\n",
      "| scenario_1490 |    335.837 |\n",
      "| scenario_1491 |    341.337 |\n",
      "| scenario_1492 |    358.837 |\n",
      "| scenario_1494 |    361.337 |\n",
      "| scenario_1495 |    378.837 |\n",
      "| scenario_1497 |    409.71  |\n",
      "| scenario_1512 |    278.941 |\n",
      "| scenario_1513 |    285.941 |\n",
      "| scenario_1514 |    292.941 |\n",
      "| scenario_1515 |    308.941 |\n",
      "| scenario_1516 |    315.941 |\n",
      "| scenario_1517 |    331.045 |\n",
      "| scenario_1518 |    338.941 |\n",
      "| scenario_1519 |    354.045 |\n",
      "| scenario_1520 |    371.545 |\n",
      "| scenario_1521 |    358.941 |\n",
      "| scenario_1522 |    374.045 |\n",
      "| scenario_1523 |    391.545 |\n",
      "| scenario_1524 |    397.045 |\n",
      "| scenario_1525 |    414.545 |\n",
      "| scenario_1527 |    464.172 |\n",
      "| scenario_1530 |    484.172 |\n",
      "| scenario_1539 |    278.941 |\n",
      "| scenario_1540 |    285.941 |\n",
      "| scenario_1541 |    292.941 |\n",
      "| scenario_1542 |    308.941 |\n",
      "| scenario_1543 |    315.941 |\n",
      "| scenario_1544 |    331.045 |\n",
      "| scenario_1545 |    338.941 |\n",
      "| scenario_1546 |    354.045 |\n",
      "| scenario_1547 |    371.545 |\n",
      "| scenario_1548 |    358.941 |\n",
      "| scenario_1549 |    374.045 |\n",
      "| scenario_1550 |    391.545 |\n",
      "| scenario_1551 |    397.045 |\n",
      "| scenario_1552 |    414.545 |\n",
      "| scenario_1554 |    464.172 |\n",
      "| scenario_1557 |    484.172 |\n",
      "| scenario_1566 |    278.941 |\n",
      "| scenario_1567 |    285.941 |\n",
      "| scenario_1568 |    292.941 |\n",
      "| scenario_1569 |    308.941 |\n",
      "| scenario_1570 |    315.941 |\n",
      "| scenario_1571 |    331.045 |\n",
      "| scenario_1572 |    338.941 |\n",
      "| scenario_1573 |    354.045 |\n",
      "| scenario_1574 |    371.545 |\n",
      "| scenario_1575 |    358.941 |\n",
      "| scenario_1576 |    374.045 |\n",
      "| scenario_1577 |    391.545 |\n",
      "| scenario_1578 |    397.045 |\n",
      "| scenario_1579 |    414.545 |\n",
      "| scenario_1581 |    464.172 |\n",
      "| scenario_1584 |    484.172 |\n",
      "| scenario_1593 |    278.941 |\n",
      "| scenario_1594 |    285.941 |\n",
      "| scenario_1595 |    292.941 |\n",
      "| scenario_1596 |    308.941 |\n",
      "| scenario_1597 |    315.941 |\n",
      "| scenario_1598 |    331.045 |\n",
      "| scenario_1599 |    338.941 |\n",
      "| scenario_1600 |    354.045 |\n",
      "| scenario_1601 |    371.545 |\n",
      "| scenario_1602 |    358.941 |\n",
      "| scenario_1603 |    374.045 |\n",
      "| scenario_1604 |    391.545 |\n",
      "| scenario_1605 |    397.045 |\n",
      "| scenario_1606 |    414.545 |\n",
      "| scenario_1608 |    464.172 |\n",
      "| scenario_1611 |    484.172 |\n",
      "| scenario_1620 |    278.941 |\n",
      "| scenario_1621 |    285.941 |\n",
      "| scenario_1622 |    292.941 |\n",
      "| scenario_1623 |    308.941 |\n",
      "| scenario_1624 |    315.941 |\n",
      "| scenario_1625 |    331.045 |\n",
      "| scenario_1626 |    338.941 |\n",
      "| scenario_1627 |    354.045 |\n",
      "| scenario_1628 |    371.545 |\n",
      "| scenario_1629 |    358.941 |\n",
      "| scenario_1630 |    374.045 |\n",
      "| scenario_1631 |    391.545 |\n",
      "| scenario_1632 |    397.045 |\n",
      "| scenario_1633 |    414.545 |\n",
      "| scenario_1635 |    464.172 |\n",
      "| scenario_1638 |    484.172 |\n",
      "| scenario_1647 |    278.941 |\n",
      "| scenario_1648 |    285.941 |\n",
      "| scenario_1649 |    292.941 |\n",
      "| scenario_1650 |    308.941 |\n",
      "| scenario_1651 |    315.941 |\n",
      "| scenario_1652 |    331.045 |\n",
      "| scenario_1653 |    338.941 |\n",
      "| scenario_1654 |    354.045 |\n",
      "| scenario_1655 |    371.545 |\n",
      "| scenario_1656 |    358.941 |\n",
      "| scenario_1657 |    374.045 |\n",
      "| scenario_1658 |    391.545 |\n",
      "| scenario_1659 |    397.045 |\n",
      "| scenario_1660 |    414.545 |\n",
      "| scenario_1662 |    464.172 |\n",
      "| scenario_1665 |    484.172 |\n",
      "| scenario_1674 |    278.941 |\n",
      "| scenario_1675 |    285.941 |\n",
      "| scenario_1676 |    292.941 |\n",
      "| scenario_1677 |    308.941 |\n",
      "| scenario_1678 |    315.941 |\n",
      "| scenario_1679 |    331.045 |\n",
      "| scenario_1680 |    338.941 |\n",
      "| scenario_1681 |    354.045 |\n",
      "| scenario_1682 |    371.545 |\n",
      "| scenario_1683 |    358.941 |\n",
      "| scenario_1684 |    374.045 |\n",
      "| scenario_1685 |    391.545 |\n",
      "| scenario_1686 |    397.045 |\n",
      "| scenario_1687 |    414.545 |\n",
      "| scenario_1689 |    464.172 |\n",
      "| scenario_1692 |    484.172 |\n",
      "| scenario_1701 |    278.941 |\n",
      "| scenario_1702 |    285.941 |\n",
      "| scenario_1703 |    292.941 |\n",
      "| scenario_1704 |    308.941 |\n",
      "| scenario_1705 |    315.941 |\n",
      "| scenario_1706 |    331.045 |\n",
      "| scenario_1707 |    338.941 |\n",
      "| scenario_1708 |    354.045 |\n",
      "| scenario_1709 |    371.545 |\n",
      "| scenario_1710 |    358.941 |\n",
      "| scenario_1711 |    374.045 |\n",
      "| scenario_1712 |    391.545 |\n",
      "| scenario_1713 |    397.045 |\n",
      "| scenario_1714 |    414.545 |\n",
      "| scenario_1716 |    464.172 |\n",
      "| scenario_1719 |    484.172 |\n",
      "+---------------+------------+\n",
      "EEV = 328.44\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "1728it [02:35, 11.10it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------------+------------+\n",
      "| Scenarios     |   EEV_l_qc |\n",
      "|---------------+------------|\n",
      "| scenario_0    |    253.941 |\n",
      "| scenario_1    |    255.941 |\n",
      "| scenario_2    |    258.625 |\n",
      "| scenario_3    |    273.941 |\n",
      "| scenario_4    |    276.625 |\n",
      "| scenario_5    |    281.625 |\n",
      "| scenario_6    |    294.625 |\n",
      "| scenario_7    |    299.625 |\n",
      "| scenario_9    |    334.625 |\n",
      "| scenario_10   |    339.625 |\n",
      "| scenario_12   |    363.787 |\n",
      "| scenario_27   |    253.941 |\n",
      "| scenario_28   |    255.941 |\n",
      "| scenario_29   |    258.625 |\n",
      "| scenario_30   |    273.941 |\n",
      "| scenario_31   |    276.625 |\n",
      "| scenario_32   |    281.625 |\n",
      "| scenario_33   |    294.625 |\n",
      "| scenario_34   |    299.625 |\n",
      "| scenario_36   |    334.625 |\n",
      "| scenario_37   |    339.625 |\n",
      "| scenario_39   |    363.787 |\n",
      "| scenario_54   |    253.941 |\n",
      "| scenario_55   |    255.941 |\n",
      "| scenario_56   |    258.625 |\n",
      "| scenario_57   |    273.941 |\n",
      "| scenario_58   |    276.625 |\n",
      "| scenario_59   |    281.625 |\n",
      "| scenario_60   |    294.625 |\n",
      "| scenario_61   |    299.625 |\n",
      "| scenario_63   |    334.625 |\n",
      "| scenario_64   |    339.625 |\n",
      "| scenario_66   |    363.787 |\n",
      "| scenario_81   |    253.941 |\n",
      "| scenario_82   |    255.941 |\n",
      "| scenario_83   |    258.625 |\n",
      "| scenario_84   |    273.941 |\n",
      "| scenario_85   |    276.625 |\n",
      "| scenario_86   |    281.625 |\n",
      "| scenario_87   |    294.625 |\n",
      "| scenario_88   |    299.625 |\n",
      "| scenario_90   |    334.625 |\n",
      "| scenario_91   |    339.625 |\n",
      "| scenario_93   |    363.787 |\n",
      "| scenario_108  |    253.941 |\n",
      "| scenario_109  |    255.941 |\n",
      "| scenario_110  |    258.625 |\n",
      "| scenario_111  |    273.941 |\n",
      "| scenario_112  |    276.625 |\n",
      "| scenario_113  |    281.625 |\n",
      "| scenario_114  |    294.625 |\n",
      "| scenario_115  |    299.625 |\n",
      "| scenario_117  |    334.625 |\n",
      "| scenario_118  |    339.625 |\n",
      "| scenario_120  |    363.787 |\n",
      "| scenario_135  |    253.941 |\n",
      "| scenario_136  |    255.941 |\n",
      "| scenario_137  |    258.625 |\n",
      "| scenario_138  |    273.941 |\n",
      "| scenario_139  |    276.625 |\n",
      "| scenario_140  |    281.625 |\n",
      "| scenario_141  |    294.625 |\n",
      "| scenario_142  |    299.625 |\n",
      "| scenario_144  |    334.625 |\n",
      "| scenario_145  |    339.625 |\n",
      "| scenario_147  |    363.787 |\n",
      "| scenario_162  |    253.941 |\n",
      "| scenario_163  |    255.941 |\n",
      "| scenario_164  |    258.625 |\n",
      "| scenario_165  |    273.941 |\n",
      "| scenario_166  |    276.625 |\n",
      "| scenario_167  |    281.625 |\n",
      "| scenario_168  |    294.625 |\n",
      "| scenario_169  |    299.625 |\n",
      "| scenario_171  |    334.625 |\n",
      "| scenario_172  |    339.625 |\n",
      "| scenario_174  |    363.787 |\n",
      "| scenario_189  |    253.941 |\n",
      "| scenario_190  |    255.941 |\n",
      "| scenario_191  |    258.625 |\n",
      "| scenario_192  |    273.941 |\n",
      "| scenario_193  |    276.625 |\n",
      "| scenario_194  |    281.625 |\n",
      "| scenario_195  |    294.625 |\n",
      "| scenario_196  |    299.625 |\n",
      "| scenario_198  |    334.625 |\n",
      "| scenario_199  |    339.625 |\n",
      "| scenario_201  |    363.787 |\n",
      "| scenario_216  |    253.941 |\n",
      "| scenario_217  |    255.941 |\n",
      "| scenario_218  |    257.941 |\n",
      "| scenario_219  |    273.941 |\n",
      "| scenario_220  |    275.941 |\n",
      "| scenario_221  |    280.256 |\n",
      "| scenario_222  |    293.941 |\n",
      "| scenario_223  |    298.256 |\n",
      "| scenario_224  |    303.256 |\n",
      "| scenario_225  |    333.941 |\n",
      "| scenario_226  |    338.256 |\n",
      "| scenario_227  |    343.256 |\n",
      "| scenario_228  |    356.256 |\n",
      "| scenario_229  |    361.256 |\n",
      "| scenario_231  |    400.095 |\n",
      "| scenario_234  |    440.095 |\n",
      "| scenario_243  |    253.941 |\n",
      "| scenario_244  |    255.941 |\n",
      "| scenario_245  |    257.941 |\n",
      "| scenario_246  |    273.941 |\n",
      "| scenario_247  |    275.941 |\n",
      "| scenario_248  |    280.256 |\n",
      "| scenario_249  |    293.941 |\n",
      "| scenario_250  |    298.256 |\n",
      "| scenario_251  |    303.256 |\n",
      "| scenario_252  |    333.941 |\n",
      "| scenario_253  |    338.256 |\n",
      "| scenario_254  |    343.256 |\n",
      "| scenario_255  |    356.256 |\n",
      "| scenario_256  |    361.256 |\n",
      "| scenario_258  |    400.095 |\n",
      "| scenario_261  |    440.095 |\n",
      "| scenario_270  |    253.941 |\n",
      "| scenario_271  |    255.941 |\n",
      "| scenario_272  |    257.941 |\n",
      "| scenario_273  |    273.941 |\n",
      "| scenario_274  |    275.941 |\n",
      "| scenario_275  |    280.256 |\n",
      "| scenario_276  |    293.941 |\n",
      "| scenario_277  |    298.256 |\n",
      "| scenario_278  |    303.256 |\n",
      "| scenario_279  |    333.941 |\n",
      "| scenario_280  |    338.256 |\n",
      "| scenario_281  |    343.256 |\n",
      "| scenario_282  |    356.256 |\n",
      "| scenario_283  |    361.256 |\n",
      "| scenario_285  |    400.095 |\n",
      "| scenario_288  |    440.095 |\n",
      "| scenario_297  |    253.941 |\n",
      "| scenario_298  |    255.941 |\n",
      "| scenario_299  |    257.941 |\n",
      "| scenario_300  |    273.941 |\n",
      "| scenario_301  |    275.941 |\n",
      "| scenario_302  |    280.256 |\n",
      "| scenario_303  |    293.941 |\n",
      "| scenario_304  |    298.256 |\n",
      "| scenario_305  |    303.256 |\n",
      "| scenario_306  |    333.941 |\n",
      "| scenario_307  |    338.256 |\n",
      "| scenario_308  |    343.256 |\n",
      "| scenario_309  |    356.256 |\n",
      "| scenario_310  |    361.256 |\n",
      "| scenario_312  |    400.095 |\n",
      "| scenario_315  |    440.095 |\n",
      "| scenario_324  |    253.941 |\n",
      "| scenario_325  |    255.941 |\n",
      "| scenario_326  |    257.941 |\n",
      "| scenario_327  |    273.941 |\n",
      "| scenario_328  |    275.941 |\n",
      "| scenario_329  |    280.256 |\n",
      "| scenario_330  |    293.941 |\n",
      "| scenario_331  |    298.256 |\n",
      "| scenario_332  |    303.256 |\n",
      "| scenario_333  |    333.941 |\n",
      "| scenario_334  |    338.256 |\n",
      "| scenario_335  |    343.256 |\n",
      "| scenario_336  |    356.256 |\n",
      "| scenario_337  |    361.256 |\n",
      "| scenario_339  |    400.095 |\n",
      "| scenario_342  |    440.095 |\n",
      "| scenario_351  |    253.941 |\n",
      "| scenario_352  |    255.941 |\n",
      "| scenario_353  |    257.941 |\n",
      "| scenario_354  |    273.941 |\n",
      "| scenario_355  |    275.941 |\n",
      "| scenario_356  |    280.256 |\n",
      "| scenario_357  |    293.941 |\n",
      "| scenario_358  |    298.256 |\n",
      "| scenario_359  |    303.256 |\n",
      "| scenario_360  |    333.941 |\n",
      "| scenario_361  |    338.256 |\n",
      "| scenario_362  |    343.256 |\n",
      "| scenario_363  |    356.256 |\n",
      "| scenario_364  |    361.256 |\n",
      "| scenario_366  |    400.095 |\n",
      "| scenario_369  |    440.095 |\n",
      "| scenario_378  |    253.941 |\n",
      "| scenario_379  |    255.941 |\n",
      "| scenario_380  |    257.941 |\n",
      "| scenario_381  |    273.941 |\n",
      "| scenario_382  |    275.941 |\n",
      "| scenario_383  |    280.256 |\n",
      "| scenario_384  |    293.941 |\n",
      "| scenario_385  |    298.256 |\n",
      "| scenario_386  |    303.256 |\n",
      "| scenario_387  |    333.941 |\n",
      "| scenario_388  |    338.256 |\n",
      "| scenario_389  |    343.256 |\n",
      "| scenario_390  |    356.256 |\n",
      "| scenario_391  |    361.256 |\n",
      "| scenario_393  |    400.095 |\n",
      "| scenario_396  |    440.095 |\n",
      "| scenario_405  |    253.941 |\n",
      "| scenario_406  |    255.941 |\n",
      "| scenario_407  |    257.941 |\n",
      "| scenario_408  |    273.941 |\n",
      "| scenario_409  |    275.941 |\n",
      "| scenario_410  |    280.256 |\n",
      "| scenario_411  |    293.941 |\n",
      "| scenario_412  |    298.256 |\n",
      "| scenario_413  |    303.256 |\n",
      "| scenario_414  |    333.941 |\n",
      "| scenario_415  |    338.256 |\n",
      "| scenario_416  |    343.256 |\n",
      "| scenario_417  |    356.256 |\n",
      "| scenario_418  |    361.256 |\n",
      "| scenario_420  |    400.095 |\n",
      "| scenario_423  |    440.095 |\n",
      "| scenario_432  |    258.941 |\n",
      "| scenario_433  |    265.941 |\n",
      "| scenario_434  |    275.337 |\n",
      "| scenario_435  |    278.941 |\n",
      "| scenario_436  |    288.337 |\n",
      "| scenario_437  |    305.837 |\n",
      "| scenario_438  |    301.337 |\n",
      "| scenario_439  |    318.837 |\n",
      "| scenario_441  |    341.337 |\n",
      "| scenario_442  |    358.837 |\n",
      "| scenario_444  |    376.287 |\n",
      "| scenario_459  |    258.941 |\n",
      "| scenario_460  |    265.941 |\n",
      "| scenario_461  |    275.337 |\n",
      "| scenario_462  |    278.941 |\n",
      "| scenario_463  |    288.337 |\n",
      "| scenario_464  |    305.837 |\n",
      "| scenario_465  |    301.337 |\n",
      "| scenario_466  |    318.837 |\n",
      "| scenario_468  |    341.337 |\n",
      "| scenario_469  |    358.837 |\n",
      "| scenario_471  |    376.287 |\n",
      "| scenario_486  |    258.941 |\n",
      "| scenario_487  |    265.941 |\n",
      "| scenario_488  |    275.337 |\n",
      "| scenario_489  |    278.941 |\n",
      "| scenario_490  |    288.337 |\n",
      "| scenario_491  |    305.837 |\n",
      "| scenario_492  |    301.337 |\n",
      "| scenario_493  |    318.837 |\n",
      "| scenario_495  |    341.337 |\n",
      "| scenario_496  |    358.837 |\n",
      "| scenario_498  |    376.287 |\n",
      "| scenario_513  |    258.941 |\n",
      "| scenario_514  |    265.941 |\n",
      "| scenario_515  |    275.337 |\n",
      "| scenario_516  |    278.941 |\n",
      "| scenario_517  |    288.337 |\n",
      "| scenario_518  |    305.837 |\n",
      "| scenario_519  |    301.337 |\n",
      "| scenario_520  |    318.837 |\n",
      "| scenario_522  |    341.337 |\n",
      "| scenario_523  |    358.837 |\n",
      "| scenario_525  |    376.287 |\n",
      "| scenario_540  |    258.941 |\n",
      "| scenario_541  |    265.941 |\n",
      "| scenario_542  |    275.337 |\n",
      "| scenario_543  |    278.941 |\n",
      "| scenario_544  |    288.337 |\n",
      "| scenario_545  |    305.837 |\n",
      "| scenario_546  |    301.337 |\n",
      "| scenario_547  |    318.837 |\n",
      "| scenario_549  |    341.337 |\n",
      "| scenario_550  |    358.837 |\n",
      "| scenario_552  |    376.287 |\n",
      "| scenario_567  |    258.941 |\n",
      "| scenario_568  |    265.941 |\n",
      "| scenario_569  |    275.337 |\n",
      "| scenario_570  |    278.941 |\n",
      "| scenario_571  |    288.337 |\n",
      "| scenario_572  |    305.837 |\n",
      "| scenario_573  |    301.337 |\n",
      "| scenario_574  |    318.837 |\n",
      "| scenario_576  |    341.337 |\n",
      "| scenario_577  |    358.837 |\n",
      "| scenario_579  |    376.287 |\n",
      "| scenario_594  |    258.941 |\n",
      "| scenario_595  |    265.941 |\n",
      "| scenario_596  |    275.337 |\n",
      "| scenario_597  |    278.941 |\n",
      "| scenario_598  |    288.337 |\n",
      "| scenario_599  |    305.837 |\n",
      "| scenario_600  |    301.337 |\n",
      "| scenario_601  |    318.837 |\n",
      "| scenario_603  |    341.337 |\n",
      "| scenario_604  |    358.837 |\n",
      "| scenario_606  |    376.287 |\n",
      "| scenario_621  |    258.941 |\n",
      "| scenario_622  |    265.941 |\n",
      "| scenario_623  |    275.337 |\n",
      "| scenario_624  |    278.941 |\n",
      "| scenario_625  |    288.337 |\n",
      "| scenario_626  |    305.837 |\n",
      "| scenario_627  |    301.337 |\n",
      "| scenario_628  |    318.837 |\n",
      "| scenario_630  |    341.337 |\n",
      "| scenario_631  |    358.837 |\n",
      "| scenario_633  |    376.287 |\n",
      "| scenario_648  |    258.941 |\n",
      "| scenario_649  |    265.941 |\n",
      "| scenario_650  |    272.941 |\n",
      "| scenario_651  |    278.941 |\n",
      "| scenario_652  |    285.941 |\n",
      "| scenario_653  |    301.045 |\n",
      "| scenario_654  |    298.941 |\n",
      "| scenario_655  |    314.045 |\n",
      "| scenario_656  |    331.545 |\n",
      "| scenario_657  |    338.941 |\n",
      "| scenario_658  |    354.045 |\n",
      "| scenario_659  |    371.545 |\n",
      "| scenario_660  |    367.045 |\n",
      "| scenario_661  |    384.545 |\n",
      "| scenario_663  |    412.595 |\n",
      "| scenario_666  |    452.595 |\n",
      "| scenario_675  |    258.941 |\n",
      "| scenario_676  |    265.941 |\n",
      "| scenario_677  |    272.941 |\n",
      "| scenario_678  |    278.941 |\n",
      "| scenario_679  |    285.941 |\n",
      "| scenario_680  |    301.045 |\n",
      "| scenario_681  |    298.941 |\n",
      "| scenario_682  |    314.045 |\n",
      "| scenario_683  |    331.545 |\n",
      "| scenario_684  |    338.941 |\n",
      "| scenario_685  |    354.045 |\n",
      "| scenario_686  |    371.545 |\n",
      "| scenario_687  |    367.045 |\n",
      "| scenario_688  |    384.545 |\n",
      "| scenario_690  |    412.595 |\n",
      "| scenario_693  |    452.595 |\n",
      "| scenario_702  |    258.941 |\n",
      "| scenario_703  |    265.941 |\n",
      "| scenario_704  |    272.941 |\n",
      "| scenario_705  |    278.941 |\n",
      "| scenario_706  |    285.941 |\n",
      "| scenario_707  |    301.045 |\n",
      "| scenario_708  |    298.941 |\n",
      "| scenario_709  |    314.045 |\n",
      "| scenario_710  |    331.545 |\n",
      "| scenario_711  |    338.941 |\n",
      "| scenario_712  |    354.045 |\n",
      "| scenario_713  |    371.545 |\n",
      "| scenario_714  |    367.045 |\n",
      "| scenario_715  |    384.545 |\n",
      "| scenario_717  |    412.595 |\n",
      "| scenario_720  |    452.595 |\n",
      "| scenario_729  |    258.941 |\n",
      "| scenario_730  |    265.941 |\n",
      "| scenario_731  |    272.941 |\n",
      "| scenario_732  |    278.941 |\n",
      "| scenario_733  |    285.941 |\n",
      "| scenario_734  |    301.045 |\n",
      "| scenario_735  |    298.941 |\n",
      "| scenario_736  |    314.045 |\n",
      "| scenario_737  |    331.545 |\n",
      "| scenario_738  |    338.941 |\n",
      "| scenario_739  |    354.045 |\n",
      "| scenario_740  |    371.545 |\n",
      "| scenario_741  |    367.045 |\n",
      "| scenario_742  |    384.545 |\n",
      "| scenario_744  |    412.595 |\n",
      "| scenario_747  |    452.595 |\n",
      "| scenario_756  |    258.941 |\n",
      "| scenario_757  |    265.941 |\n",
      "| scenario_758  |    272.941 |\n",
      "| scenario_759  |    278.941 |\n",
      "| scenario_760  |    285.941 |\n",
      "| scenario_761  |    301.045 |\n",
      "| scenario_762  |    298.941 |\n",
      "| scenario_763  |    314.045 |\n",
      "| scenario_764  |    331.545 |\n",
      "| scenario_765  |    338.941 |\n",
      "| scenario_766  |    354.045 |\n",
      "| scenario_767  |    371.545 |\n",
      "| scenario_768  |    367.045 |\n",
      "| scenario_769  |    384.545 |\n",
      "| scenario_771  |    412.595 |\n",
      "| scenario_774  |    452.595 |\n",
      "| scenario_783  |    258.941 |\n",
      "| scenario_784  |    265.941 |\n",
      "| scenario_785  |    272.941 |\n",
      "| scenario_786  |    278.941 |\n",
      "| scenario_787  |    285.941 |\n",
      "| scenario_788  |    301.045 |\n",
      "| scenario_789  |    298.941 |\n",
      "| scenario_790  |    314.045 |\n",
      "| scenario_791  |    331.545 |\n",
      "| scenario_792  |    338.941 |\n",
      "| scenario_793  |    354.045 |\n",
      "| scenario_794  |    371.545 |\n",
      "| scenario_795  |    367.045 |\n",
      "| scenario_796  |    384.545 |\n",
      "| scenario_798  |    412.595 |\n",
      "| scenario_801  |    452.595 |\n",
      "| scenario_810  |    258.941 |\n",
      "| scenario_811  |    265.941 |\n",
      "| scenario_812  |    272.941 |\n",
      "| scenario_813  |    278.941 |\n",
      "| scenario_814  |    285.941 |\n",
      "| scenario_815  |    301.045 |\n",
      "| scenario_816  |    298.941 |\n",
      "| scenario_817  |    314.045 |\n",
      "| scenario_818  |    331.545 |\n",
      "| scenario_819  |    338.941 |\n",
      "| scenario_820  |    354.045 |\n",
      "| scenario_821  |    371.545 |\n",
      "| scenario_822  |    367.045 |\n",
      "| scenario_823  |    384.545 |\n",
      "| scenario_825  |    412.595 |\n",
      "| scenario_828  |    452.595 |\n",
      "| scenario_837  |    258.941 |\n",
      "| scenario_838  |    265.941 |\n",
      "| scenario_839  |    272.941 |\n",
      "| scenario_840  |    278.941 |\n",
      "| scenario_841  |    285.941 |\n",
      "| scenario_842  |    301.045 |\n",
      "| scenario_843  |    298.941 |\n",
      "| scenario_844  |    314.045 |\n",
      "| scenario_845  |    331.545 |\n",
      "| scenario_846  |    338.941 |\n",
      "| scenario_847  |    354.045 |\n",
      "| scenario_848  |    371.545 |\n",
      "| scenario_849  |    367.045 |\n",
      "| scenario_850  |    384.545 |\n",
      "| scenario_852  |    412.595 |\n",
      "| scenario_855  |    452.595 |\n",
      "| scenario_864  |    273.941 |\n",
      "| scenario_865  |    275.941 |\n",
      "| scenario_866  |    278.625 |\n",
      "| scenario_867  |    303.941 |\n",
      "| scenario_868  |    306.625 |\n",
      "| scenario_869  |    311.625 |\n",
      "| scenario_870  |    334.625 |\n",
      "| scenario_871  |    339.625 |\n",
      "| scenario_873  |    354.625 |\n",
      "| scenario_874  |    359.625 |\n",
      "| scenario_876  |    397.21  |\n",
      "| scenario_891  |    273.941 |\n",
      "| scenario_892  |    275.941 |\n",
      "| scenario_893  |    278.625 |\n",
      "| scenario_894  |    303.941 |\n",
      "| scenario_895  |    306.625 |\n",
      "| scenario_896  |    311.625 |\n",
      "| scenario_897  |    334.625 |\n",
      "| scenario_898  |    339.625 |\n",
      "| scenario_900  |    354.625 |\n",
      "| scenario_901  |    359.625 |\n",
      "| scenario_903  |    397.21  |\n",
      "| scenario_918  |    273.941 |\n",
      "| scenario_919  |    275.941 |\n",
      "| scenario_920  |    278.625 |\n",
      "| scenario_921  |    303.941 |\n",
      "| scenario_922  |    306.625 |\n",
      "| scenario_923  |    311.625 |\n",
      "| scenario_924  |    334.625 |\n",
      "| scenario_925  |    339.625 |\n",
      "| scenario_927  |    354.625 |\n",
      "| scenario_928  |    359.625 |\n",
      "| scenario_930  |    397.21  |\n",
      "| scenario_945  |    273.941 |\n",
      "| scenario_946  |    275.941 |\n",
      "| scenario_947  |    278.625 |\n",
      "| scenario_948  |    303.941 |\n",
      "| scenario_949  |    306.625 |\n",
      "| scenario_950  |    311.625 |\n",
      "| scenario_951  |    334.625 |\n",
      "| scenario_952  |    339.625 |\n",
      "| scenario_954  |    354.625 |\n",
      "| scenario_955  |    359.625 |\n",
      "| scenario_957  |    397.21  |\n",
      "| scenario_972  |    273.941 |\n",
      "| scenario_973  |    275.941 |\n",
      "| scenario_974  |    278.625 |\n",
      "| scenario_975  |    303.941 |\n",
      "| scenario_976  |    306.625 |\n",
      "| scenario_977  |    311.625 |\n",
      "| scenario_978  |    334.625 |\n",
      "| scenario_979  |    339.625 |\n",
      "| scenario_981  |    354.625 |\n",
      "| scenario_982  |    359.625 |\n",
      "| scenario_984  |    397.21  |\n",
      "| scenario_999  |    273.941 |\n",
      "| scenario_1000 |    275.941 |\n",
      "| scenario_1001 |    278.625 |\n",
      "| scenario_1002 |    303.941 |\n",
      "| scenario_1003 |    306.625 |\n",
      "| scenario_1004 |    311.625 |\n",
      "| scenario_1005 |    334.625 |\n",
      "| scenario_1006 |    339.625 |\n",
      "| scenario_1008 |    354.625 |\n",
      "| scenario_1009 |    359.625 |\n",
      "| scenario_1011 |    397.21  |\n",
      "| scenario_1026 |    273.941 |\n",
      "| scenario_1027 |    275.941 |\n",
      "| scenario_1028 |    278.625 |\n",
      "| scenario_1029 |    303.941 |\n",
      "| scenario_1030 |    306.625 |\n",
      "| scenario_1031 |    311.625 |\n",
      "| scenario_1032 |    334.625 |\n",
      "| scenario_1033 |    339.625 |\n",
      "| scenario_1035 |    354.625 |\n",
      "| scenario_1036 |    359.625 |\n",
      "| scenario_1038 |    397.21  |\n",
      "| scenario_1053 |    273.941 |\n",
      "| scenario_1054 |    275.941 |\n",
      "| scenario_1055 |    278.625 |\n",
      "| scenario_1056 |    303.941 |\n",
      "| scenario_1057 |    306.625 |\n",
      "| scenario_1058 |    311.625 |\n",
      "| scenario_1059 |    334.625 |\n",
      "| scenario_1060 |    339.625 |\n",
      "| scenario_1062 |    354.625 |\n",
      "| scenario_1063 |    359.625 |\n",
      "| scenario_1065 |    397.21  |\n",
      "| scenario_1080 |    273.941 |\n",
      "| scenario_1081 |    275.941 |\n",
      "| scenario_1082 |    277.941 |\n",
      "| scenario_1083 |    303.941 |\n",
      "| scenario_1084 |    305.941 |\n",
      "| scenario_1085 |    310.256 |\n",
      "| scenario_1086 |    333.941 |\n",
      "| scenario_1087 |    338.256 |\n",
      "| scenario_1088 |    343.256 |\n",
      "| scenario_1089 |    353.941 |\n",
      "| scenario_1090 |    358.256 |\n",
      "| scenario_1091 |    363.256 |\n",
      "| scenario_1092 |    386.256 |\n",
      "| scenario_1093 |    391.256 |\n",
      "| scenario_1095 |    451.672 |\n",
      "| scenario_1098 |    471.672 |\n",
      "| scenario_1107 |    273.941 |\n",
      "| scenario_1108 |    275.941 |\n",
      "| scenario_1109 |    277.941 |\n",
      "| scenario_1110 |    303.941 |\n",
      "| scenario_1111 |    305.941 |\n",
      "| scenario_1112 |    310.256 |\n",
      "| scenario_1113 |    333.941 |\n",
      "| scenario_1114 |    338.256 |\n",
      "| scenario_1115 |    343.256 |\n",
      "| scenario_1116 |    353.941 |\n",
      "| scenario_1117 |    358.256 |\n",
      "| scenario_1118 |    363.256 |\n",
      "| scenario_1119 |    386.256 |\n",
      "| scenario_1120 |    391.256 |\n",
      "| scenario_1122 |    451.672 |\n",
      "| scenario_1125 |    471.672 |\n",
      "| scenario_1134 |    273.941 |\n",
      "| scenario_1135 |    275.941 |\n",
      "| scenario_1136 |    277.941 |\n",
      "| scenario_1137 |    303.941 |\n",
      "| scenario_1138 |    305.941 |\n",
      "| scenario_1139 |    310.256 |\n",
      "| scenario_1140 |    333.941 |\n",
      "| scenario_1141 |    338.256 |\n",
      "| scenario_1142 |    343.256 |\n",
      "| scenario_1143 |    353.941 |\n",
      "| scenario_1144 |    358.256 |\n",
      "| scenario_1145 |    363.256 |\n",
      "| scenario_1146 |    386.256 |\n",
      "| scenario_1147 |    391.256 |\n",
      "| scenario_1149 |    451.672 |\n",
      "| scenario_1152 |    471.672 |\n",
      "| scenario_1161 |    273.941 |\n",
      "| scenario_1162 |    275.941 |\n",
      "| scenario_1163 |    277.941 |\n",
      "| scenario_1164 |    303.941 |\n",
      "| scenario_1165 |    305.941 |\n",
      "| scenario_1166 |    310.256 |\n",
      "| scenario_1167 |    333.941 |\n",
      "| scenario_1168 |    338.256 |\n",
      "| scenario_1169 |    343.256 |\n",
      "| scenario_1170 |    353.941 |\n",
      "| scenario_1171 |    358.256 |\n",
      "| scenario_1172 |    363.256 |\n",
      "| scenario_1173 |    386.256 |\n",
      "| scenario_1174 |    391.256 |\n",
      "| scenario_1176 |    451.672 |\n",
      "| scenario_1179 |    471.672 |\n",
      "| scenario_1188 |    273.941 |\n",
      "| scenario_1189 |    275.941 |\n",
      "| scenario_1190 |    277.941 |\n",
      "| scenario_1191 |    303.941 |\n",
      "| scenario_1192 |    305.941 |\n",
      "| scenario_1193 |    310.256 |\n",
      "| scenario_1194 |    333.941 |\n",
      "| scenario_1195 |    338.256 |\n",
      "| scenario_1196 |    343.256 |\n",
      "| scenario_1197 |    353.941 |\n",
      "| scenario_1198 |    358.256 |\n",
      "| scenario_1199 |    363.256 |\n",
      "| scenario_1200 |    386.256 |\n",
      "| scenario_1201 |    391.256 |\n",
      "| scenario_1203 |    451.672 |\n",
      "| scenario_1206 |    471.672 |\n",
      "| scenario_1215 |    273.941 |\n",
      "| scenario_1216 |    275.941 |\n",
      "| scenario_1217 |    277.941 |\n",
      "| scenario_1218 |    303.941 |\n",
      "| scenario_1219 |    305.941 |\n",
      "| scenario_1220 |    310.256 |\n",
      "| scenario_1221 |    333.941 |\n",
      "| scenario_1222 |    338.256 |\n",
      "| scenario_1223 |    343.256 |\n",
      "| scenario_1224 |    353.941 |\n",
      "| scenario_1225 |    358.256 |\n",
      "| scenario_1226 |    363.256 |\n",
      "| scenario_1227 |    386.256 |\n",
      "| scenario_1228 |    391.256 |\n",
      "| scenario_1230 |    451.672 |\n",
      "| scenario_1233 |    471.672 |\n",
      "| scenario_1242 |    273.941 |\n",
      "| scenario_1243 |    275.941 |\n",
      "| scenario_1244 |    277.941 |\n",
      "| scenario_1245 |    303.941 |\n",
      "| scenario_1246 |    305.941 |\n",
      "| scenario_1247 |    310.256 |\n",
      "| scenario_1248 |    333.941 |\n",
      "| scenario_1249 |    338.256 |\n",
      "| scenario_1250 |    343.256 |\n",
      "| scenario_1251 |    353.941 |\n",
      "| scenario_1252 |    358.256 |\n",
      "| scenario_1253 |    363.256 |\n",
      "| scenario_1254 |    386.256 |\n",
      "| scenario_1255 |    391.256 |\n",
      "| scenario_1257 |    451.672 |\n",
      "| scenario_1260 |    471.672 |\n",
      "| scenario_1269 |    273.941 |\n",
      "| scenario_1270 |    275.941 |\n",
      "| scenario_1271 |    277.941 |\n",
      "| scenario_1272 |    303.941 |\n",
      "| scenario_1273 |    305.941 |\n",
      "| scenario_1274 |    310.256 |\n",
      "| scenario_1275 |    333.941 |\n",
      "| scenario_1276 |    338.256 |\n",
      "| scenario_1277 |    343.256 |\n",
      "| scenario_1278 |    353.941 |\n",
      "| scenario_1279 |    358.256 |\n",
      "| scenario_1280 |    363.256 |\n",
      "| scenario_1281 |    386.256 |\n",
      "| scenario_1282 |    391.256 |\n",
      "| scenario_1284 |    451.672 |\n",
      "| scenario_1287 |    471.672 |\n",
      "| scenario_1296 |    278.941 |\n",
      "| scenario_1297 |    285.941 |\n",
      "| scenario_1298 |    295.337 |\n",
      "| scenario_1299 |    308.941 |\n",
      "| scenario_1300 |    318.337 |\n",
      "| scenario_1301 |    335.837 |\n",
      "| scenario_1302 |    341.337 |\n",
      "| scenario_1303 |    358.837 |\n",
      "| scenario_1305 |    361.337 |\n",
      "| scenario_1306 |    378.837 |\n",
      "| scenario_1308 |    409.71  |\n",
      "| scenario_1323 |    278.941 |\n",
      "| scenario_1324 |    285.941 |\n",
      "| scenario_1325 |    295.337 |\n",
      "| scenario_1326 |    308.941 |\n",
      "| scenario_1327 |    318.337 |\n",
      "| scenario_1328 |    335.837 |\n",
      "| scenario_1329 |    341.337 |\n",
      "| scenario_1330 |    358.837 |\n",
      "| scenario_1332 |    361.337 |\n",
      "| scenario_1333 |    378.837 |\n",
      "| scenario_1335 |    409.71  |\n",
      "| scenario_1350 |    278.941 |\n",
      "| scenario_1351 |    285.941 |\n",
      "| scenario_1352 |    295.337 |\n",
      "| scenario_1353 |    308.941 |\n",
      "| scenario_1354 |    318.337 |\n",
      "| scenario_1355 |    335.837 |\n",
      "| scenario_1356 |    341.337 |\n",
      "| scenario_1357 |    358.837 |\n",
      "| scenario_1359 |    361.337 |\n",
      "| scenario_1360 |    378.837 |\n",
      "| scenario_1362 |    409.71  |\n",
      "| scenario_1377 |    278.941 |\n",
      "| scenario_1378 |    285.941 |\n",
      "| scenario_1379 |    295.337 |\n",
      "| scenario_1380 |    308.941 |\n",
      "| scenario_1381 |    318.337 |\n",
      "| scenario_1382 |    335.837 |\n",
      "| scenario_1383 |    341.337 |\n",
      "| scenario_1384 |    358.837 |\n",
      "| scenario_1386 |    361.337 |\n",
      "| scenario_1387 |    378.837 |\n",
      "| scenario_1389 |    409.71  |\n",
      "| scenario_1404 |    278.941 |\n",
      "| scenario_1405 |    285.941 |\n",
      "| scenario_1406 |    295.337 |\n",
      "| scenario_1407 |    308.941 |\n",
      "| scenario_1408 |    318.337 |\n",
      "| scenario_1409 |    335.837 |\n",
      "| scenario_1410 |    341.337 |\n",
      "| scenario_1411 |    358.837 |\n",
      "| scenario_1413 |    361.337 |\n",
      "| scenario_1414 |    378.837 |\n",
      "| scenario_1416 |    409.71  |\n",
      "| scenario_1431 |    278.941 |\n",
      "| scenario_1432 |    285.941 |\n",
      "| scenario_1433 |    295.337 |\n",
      "| scenario_1434 |    308.941 |\n",
      "| scenario_1435 |    318.337 |\n",
      "| scenario_1436 |    335.837 |\n",
      "| scenario_1437 |    341.337 |\n",
      "| scenario_1438 |    358.837 |\n",
      "| scenario_1440 |    361.337 |\n",
      "| scenario_1441 |    378.837 |\n",
      "| scenario_1443 |    409.71  |\n",
      "| scenario_1458 |    278.941 |\n",
      "| scenario_1459 |    285.941 |\n",
      "| scenario_1460 |    295.337 |\n",
      "| scenario_1461 |    308.941 |\n",
      "| scenario_1462 |    318.337 |\n",
      "| scenario_1463 |    335.837 |\n",
      "| scenario_1464 |    341.337 |\n",
      "| scenario_1465 |    358.837 |\n",
      "| scenario_1467 |    361.337 |\n",
      "| scenario_1468 |    378.837 |\n",
      "| scenario_1470 |    409.71  |\n",
      "| scenario_1485 |    278.941 |\n",
      "| scenario_1486 |    285.941 |\n",
      "| scenario_1487 |    295.337 |\n",
      "| scenario_1488 |    308.941 |\n",
      "| scenario_1489 |    318.337 |\n",
      "| scenario_1490 |    335.837 |\n",
      "| scenario_1491 |    341.337 |\n",
      "| scenario_1492 |    358.837 |\n",
      "| scenario_1494 |    361.337 |\n",
      "| scenario_1495 |    378.837 |\n",
      "| scenario_1497 |    409.71  |\n",
      "| scenario_1512 |    278.941 |\n",
      "| scenario_1513 |    285.941 |\n",
      "| scenario_1514 |    292.941 |\n",
      "| scenario_1515 |    308.941 |\n",
      "| scenario_1516 |    315.941 |\n",
      "| scenario_1517 |    331.045 |\n",
      "| scenario_1518 |    338.941 |\n",
      "| scenario_1519 |    354.045 |\n",
      "| scenario_1520 |    371.545 |\n",
      "| scenario_1521 |    358.941 |\n",
      "| scenario_1522 |    374.045 |\n",
      "| scenario_1523 |    391.545 |\n",
      "| scenario_1524 |    397.045 |\n",
      "| scenario_1525 |    414.545 |\n",
      "| scenario_1527 |    464.172 |\n",
      "| scenario_1530 |    484.172 |\n",
      "| scenario_1539 |    278.941 |\n",
      "| scenario_1540 |    285.941 |\n",
      "| scenario_1541 |    292.941 |\n",
      "| scenario_1542 |    308.941 |\n",
      "| scenario_1543 |    315.941 |\n",
      "| scenario_1544 |    331.045 |\n",
      "| scenario_1545 |    338.941 |\n",
      "| scenario_1546 |    354.045 |\n",
      "| scenario_1547 |    371.545 |\n",
      "| scenario_1548 |    358.941 |\n",
      "| scenario_1549 |    374.045 |\n",
      "| scenario_1550 |    391.545 |\n",
      "| scenario_1551 |    397.045 |\n",
      "| scenario_1552 |    414.545 |\n",
      "| scenario_1554 |    464.172 |\n",
      "| scenario_1557 |    484.172 |\n",
      "| scenario_1566 |    278.941 |\n",
      "| scenario_1567 |    285.941 |\n",
      "| scenario_1568 |    292.941 |\n",
      "| scenario_1569 |    308.941 |\n",
      "| scenario_1570 |    315.941 |\n",
      "| scenario_1571 |    331.045 |\n",
      "| scenario_1572 |    338.941 |\n",
      "| scenario_1573 |    354.045 |\n",
      "| scenario_1574 |    371.545 |\n",
      "| scenario_1575 |    358.941 |\n",
      "| scenario_1576 |    374.045 |\n",
      "| scenario_1577 |    391.545 |\n",
      "| scenario_1578 |    397.045 |\n",
      "| scenario_1579 |    414.545 |\n",
      "| scenario_1581 |    464.172 |\n",
      "| scenario_1584 |    484.172 |\n",
      "| scenario_1593 |    278.941 |\n",
      "| scenario_1594 |    285.941 |\n",
      "| scenario_1595 |    292.941 |\n",
      "| scenario_1596 |    308.941 |\n",
      "| scenario_1597 |    315.941 |\n",
      "| scenario_1598 |    331.045 |\n",
      "| scenario_1599 |    338.941 |\n",
      "| scenario_1600 |    354.045 |\n",
      "| scenario_1601 |    371.545 |\n",
      "| scenario_1602 |    358.941 |\n",
      "| scenario_1603 |    374.045 |\n",
      "| scenario_1604 |    391.545 |\n",
      "| scenario_1605 |    397.045 |\n",
      "| scenario_1606 |    414.545 |\n",
      "| scenario_1608 |    464.172 |\n",
      "| scenario_1611 |    484.172 |\n",
      "| scenario_1620 |    278.941 |\n",
      "| scenario_1621 |    285.941 |\n",
      "| scenario_1622 |    292.941 |\n",
      "| scenario_1623 |    308.941 |\n",
      "| scenario_1624 |    315.941 |\n",
      "| scenario_1625 |    331.045 |\n",
      "| scenario_1626 |    338.941 |\n",
      "| scenario_1627 |    354.045 |\n",
      "| scenario_1628 |    371.545 |\n",
      "| scenario_1629 |    358.941 |\n",
      "| scenario_1630 |    374.045 |\n",
      "| scenario_1631 |    391.545 |\n",
      "| scenario_1632 |    397.045 |\n",
      "| scenario_1633 |    414.545 |\n",
      "| scenario_1635 |    464.172 |\n",
      "| scenario_1638 |    484.172 |\n",
      "| scenario_1647 |    278.941 |\n",
      "| scenario_1648 |    285.941 |\n",
      "| scenario_1649 |    292.941 |\n",
      "| scenario_1650 |    308.941 |\n",
      "| scenario_1651 |    315.941 |\n",
      "| scenario_1652 |    331.045 |\n",
      "| scenario_1653 |    338.941 |\n",
      "| scenario_1654 |    354.045 |\n",
      "| scenario_1655 |    371.545 |\n",
      "| scenario_1656 |    358.941 |\n",
      "| scenario_1657 |    374.045 |\n",
      "| scenario_1658 |    391.545 |\n",
      "| scenario_1659 |    397.045 |\n",
      "| scenario_1660 |    414.545 |\n",
      "| scenario_1662 |    464.172 |\n",
      "| scenario_1665 |    484.172 |\n",
      "| scenario_1674 |    278.941 |\n",
      "| scenario_1675 |    285.941 |\n",
      "| scenario_1676 |    292.941 |\n",
      "| scenario_1677 |    308.941 |\n",
      "| scenario_1678 |    315.941 |\n",
      "| scenario_1679 |    331.045 |\n",
      "| scenario_1680 |    338.941 |\n",
      "| scenario_1681 |    354.045 |\n",
      "| scenario_1682 |    371.545 |\n",
      "| scenario_1683 |    358.941 |\n",
      "| scenario_1684 |    374.045 |\n",
      "| scenario_1685 |    391.545 |\n",
      "| scenario_1686 |    397.045 |\n",
      "| scenario_1687 |    414.545 |\n",
      "| scenario_1689 |    464.172 |\n",
      "| scenario_1692 |    484.172 |\n",
      "| scenario_1701 |    278.941 |\n",
      "| scenario_1702 |    285.941 |\n",
      "| scenario_1703 |    292.941 |\n",
      "| scenario_1704 |    308.941 |\n",
      "| scenario_1705 |    315.941 |\n",
      "| scenario_1706 |    331.045 |\n",
      "| scenario_1707 |    338.941 |\n",
      "| scenario_1708 |    354.045 |\n",
      "| scenario_1709 |    371.545 |\n",
      "| scenario_1710 |    358.941 |\n",
      "| scenario_1711 |    374.045 |\n",
      "| scenario_1712 |    391.545 |\n",
      "| scenario_1713 |    397.045 |\n",
      "| scenario_1714 |    414.545 |\n",
      "| scenario_1716 |    464.172 |\n",
      "| scenario_1719 |    484.172 |\n",
      "+---------------+------------+\n",
      "EEV = 328.44\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "EEV_l_qc = []  # Making a empty list\n",
    "ind_qc = []\n",
    "for s in tqdm(scenarios_q3.iterrows()):\n",
    "    model_eev_qc = create_eev_model_qc(x_bar=xbar_qc,\n",
    "                                       random_parameters=\n",
    "                                       [s[1][0], s[1][1], s[1][2], s[1][3], s[1][4], s[1][5], s[1][6], s[1][7], s[1][8]])\n",
    "    SolverFactory('gurobi').solve(model_eev_qc)\n",
    "    try:\n",
    "        sys.stdout = open(os.devnull, 'w')\n",
    "        EEV_l_qc.append(sum(np.array([10, 7 , 16, 6, 0])*np.array(xbar_qc))+ value(model_eev_qc.obj))\n",
    "        ind_qc.append(s[0])\n",
    "    except:\n",
    "        pass\n",
    "sys.stdout = old_stdout\n",
    "EEV_df_qc = pd.DataFrame(index=ind_qc\n",
    "                         , data={'EEV_l_qa':EEV_l_qc})\n",
    "print(tabulate(EEV_df_qc, headers=['Scenarios', 'EEV_l_qc'], tablefmt='psql'))\n",
    "print('EEV = %.2f'%np.mean(EEV_l_qc))"
   ],
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    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
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