{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Facility location example\n",
    "\n",
    "For assignment and data, see https://www.fransderuiter.com/JADS/\n",
    "\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from pyomo.environ import *\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Read data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Amsterdam</th>\n",
       "      <th>Antwerp</th>\n",
       "      <th>Athens</th>\n",
       "      <th>Barcelona</th>\n",
       "      <th>Berlin</th>\n",
       "      <th>Bern</th>\n",
       "      <th>Brussels</th>\n",
       "      <th>Calais</th>\n",
       "      <th>Cologne</th>\n",
       "      <th>...</th>\n",
       "      <th>Prague</th>\n",
       "      <th>Rome</th>\n",
       "      <th>Rotterdam</th>\n",
       "      <th>Strasbourg</th>\n",
       "      <th>Stuttgart</th>\n",
       "      <th>The Hague</th>\n",
       "      <th>Turin</th>\n",
       "      <th>Venice</th>\n",
       "      <th>Vienna</th>\n",
       "      <th>Zurich</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Distance (km)</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Amsterdam</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>160</td>\n",
       "      <td>3082</td>\n",
       "      <td>1639</td>\n",
       "      <td>649</td>\n",
       "      <td>875</td>\n",
       "      <td>209</td>\n",
       "      <td>385</td>\n",
       "      <td>280</td>\n",
       "      <td>...</td>\n",
       "      <td>973</td>\n",
       "      <td>1835</td>\n",
       "      <td>80</td>\n",
       "      <td>683</td>\n",
       "      <td>703</td>\n",
       "      <td>56</td>\n",
       "      <td>1264</td>\n",
       "      <td>1449</td>\n",
       "      <td>1196</td>\n",
       "      <td>861</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Antwerp</th>\n",
       "      <td>NaN</td>\n",
       "      <td>160</td>\n",
       "      <td>0</td>\n",
       "      <td>2766</td>\n",
       "      <td>1465</td>\n",
       "      <td>723</td>\n",
       "      <td>704</td>\n",
       "      <td>46</td>\n",
       "      <td>211</td>\n",
       "      <td>237</td>\n",
       "      <td>...</td>\n",
       "      <td>870</td>\n",
       "      <td>1660</td>\n",
       "      <td>100</td>\n",
       "      <td>544</td>\n",
       "      <td>659</td>\n",
       "      <td>139</td>\n",
       "      <td>1090</td>\n",
       "      <td>1275</td>\n",
       "      <td>1180</td>\n",
       "      <td>687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Athens</th>\n",
       "      <td>NaN</td>\n",
       "      <td>3082</td>\n",
       "      <td>2766</td>\n",
       "      <td>0</td>\n",
       "      <td>3312</td>\n",
       "      <td>2552</td>\n",
       "      <td>2627</td>\n",
       "      <td>3021</td>\n",
       "      <td>2976</td>\n",
       "      <td>2562</td>\n",
       "      <td>...</td>\n",
       "      <td>2198</td>\n",
       "      <td>2551</td>\n",
       "      <td>2826</td>\n",
       "      <td>2581</td>\n",
       "      <td>2428</td>\n",
       "      <td>3061</td>\n",
       "      <td>2250</td>\n",
       "      <td>1995</td>\n",
       "      <td>1886</td>\n",
       "      <td>2449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Barcelona</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1639</td>\n",
       "      <td>1465</td>\n",
       "      <td>3312</td>\n",
       "      <td>0</td>\n",
       "      <td>1899</td>\n",
       "      <td>913</td>\n",
       "      <td>1419</td>\n",
       "      <td>1399</td>\n",
       "      <td>1539</td>\n",
       "      <td>...</td>\n",
       "      <td>1679</td>\n",
       "      <td>1471</td>\n",
       "      <td>1565</td>\n",
       "      <td>1072</td>\n",
       "      <td>1263</td>\n",
       "      <td>1589</td>\n",
       "      <td>892</td>\n",
       "      <td>1327</td>\n",
       "      <td>1989</td>\n",
       "      <td>1036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Berlin</th>\n",
       "      <td>NaN</td>\n",
       "      <td>649</td>\n",
       "      <td>723</td>\n",
       "      <td>2552</td>\n",
       "      <td>1899</td>\n",
       "      <td>0</td>\n",
       "      <td>986</td>\n",
       "      <td>782</td>\n",
       "      <td>936</td>\n",
       "      <td>575</td>\n",
       "      <td>...</td>\n",
       "      <td>354</td>\n",
       "      <td>1573</td>\n",
       "      <td>697</td>\n",
       "      <td>801</td>\n",
       "      <td>636</td>\n",
       "      <td>712</td>\n",
       "      <td>1172</td>\n",
       "      <td>1108</td>\n",
       "      <td>666</td>\n",
       "      <td>863</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 38 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               Unnamed: 0  Amsterdam  Antwerp  Athens  Barcelona  Berlin  \\\n",
       "Distance (km)                                                              \n",
       "Amsterdam             NaN          0      160    3082       1639     649   \n",
       "Antwerp               NaN        160        0    2766       1465     723   \n",
       "Athens                NaN       3082     2766       0       3312    2552   \n",
       "Barcelona             NaN       1639     1465    3312          0    1899   \n",
       "Berlin                NaN        649      723    2552       1899       0   \n",
       "\n",
       "               Bern  Brussels  Calais  Cologne   ...    Prague  Rome  \\\n",
       "Distance (km)                                    ...                   \n",
       "Amsterdam       875       209     385      280   ...       973  1835   \n",
       "Antwerp         704        46     211      237   ...       870  1660   \n",
       "Athens         2627      3021    2976     2562   ...      2198  2551   \n",
       "Barcelona       913      1419    1399     1539   ...      1679  1471   \n",
       "Berlin          986       782     936      575   ...       354  1573   \n",
       "\n",
       "               Rotterdam  Strasbourg  Stuttgart  The Hague  Turin  Venice  \\\n",
       "Distance (km)                                                               \n",
       "Amsterdam             80         683        703         56   1264    1449   \n",
       "Antwerp              100         544        659        139   1090    1275   \n",
       "Athens              2826        2581       2428       3061   2250    1995   \n",
       "Barcelona           1565        1072       1263       1589    892    1327   \n",
       "Berlin               697         801        636        712   1172    1108   \n",
       "\n",
       "               Vienna  Zurich  \n",
       "Distance (km)                  \n",
       "Amsterdam        1196     861  \n",
       "Antwerp          1180     687  \n",
       "Athens           1886    2449  \n",
       "Barcelona        1989    1036  \n",
       "Berlin            666     863  \n",
       "\n",
       "[5 rows x 38 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_path = \"https://www.fransderuiter.com/JADS/Facilitylocation/FacilityLocation.xlsx\"\n",
    "# Create pandas table\n",
    "distances = pd.read_excel(data_path, sheet_name=0, header=0, skiprows=2, index_col=1)\n",
    "\n",
    "# Show table\n",
    "distances.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "      <th>Amsterdam</th>\n",
       "      <th>Antwerp</th>\n",
       "      <th>Athens</th>\n",
       "      <th>Barcelona</th>\n",
       "      <th>Berlin</th>\n",
       "      <th>Bern</th>\n",
       "      <th>Brussels</th>\n",
       "      <th>Calais</th>\n",
       "      <th>Cologne</th>\n",
       "      <th>Copenhagen</th>\n",
       "      <th>...</th>\n",
       "      <th>Prague</th>\n",
       "      <th>Rome</th>\n",
       "      <th>Rotterdam</th>\n",
       "      <th>Strasbourg</th>\n",
       "      <th>Stuttgart</th>\n",
       "      <th>The Hague</th>\n",
       "      <th>Turin</th>\n",
       "      <th>Venice</th>\n",
       "      <th>Vienna</th>\n",
       "      <th>Zurich</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Distance (km)</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
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       "  <tbody>\n",
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       "      <th>Amsterdam</th>\n",
       "      <td>0</td>\n",
       "      <td>160</td>\n",
       "      <td>3082</td>\n",
       "      <td>1639</td>\n",
       "      <td>649</td>\n",
       "      <td>875</td>\n",
       "      <td>209</td>\n",
       "      <td>385</td>\n",
       "      <td>280</td>\n",
       "      <td>904</td>\n",
       "      <td>...</td>\n",
       "      <td>973</td>\n",
       "      <td>1835</td>\n",
       "      <td>80</td>\n",
       "      <td>683</td>\n",
       "      <td>703</td>\n",
       "      <td>56</td>\n",
       "      <td>1264</td>\n",
       "      <td>1449</td>\n",
       "      <td>1196</td>\n",
       "      <td>861</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Antwerp</th>\n",
       "      <td>160</td>\n",
       "      <td>0</td>\n",
       "      <td>2766</td>\n",
       "      <td>1465</td>\n",
       "      <td>723</td>\n",
       "      <td>704</td>\n",
       "      <td>46</td>\n",
       "      <td>211</td>\n",
       "      <td>237</td>\n",
       "      <td>861</td>\n",
       "      <td>...</td>\n",
       "      <td>870</td>\n",
       "      <td>1660</td>\n",
       "      <td>100</td>\n",
       "      <td>544</td>\n",
       "      <td>659</td>\n",
       "      <td>139</td>\n",
       "      <td>1090</td>\n",
       "      <td>1275</td>\n",
       "      <td>1180</td>\n",
       "      <td>687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Athens</th>\n",
       "      <td>3082</td>\n",
       "      <td>2766</td>\n",
       "      <td>0</td>\n",
       "      <td>3312</td>\n",
       "      <td>2552</td>\n",
       "      <td>2627</td>\n",
       "      <td>3021</td>\n",
       "      <td>2976</td>\n",
       "      <td>2562</td>\n",
       "      <td>3414</td>\n",
       "      <td>...</td>\n",
       "      <td>2198</td>\n",
       "      <td>2551</td>\n",
       "      <td>2826</td>\n",
       "      <td>2581</td>\n",
       "      <td>2428</td>\n",
       "      <td>3061</td>\n",
       "      <td>2250</td>\n",
       "      <td>1995</td>\n",
       "      <td>1886</td>\n",
       "      <td>2449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Barcelona</th>\n",
       "      <td>1639</td>\n",
       "      <td>1465</td>\n",
       "      <td>3312</td>\n",
       "      <td>0</td>\n",
       "      <td>1899</td>\n",
       "      <td>913</td>\n",
       "      <td>1419</td>\n",
       "      <td>1399</td>\n",
       "      <td>1539</td>\n",
       "      <td>2230</td>\n",
       "      <td>...</td>\n",
       "      <td>1679</td>\n",
       "      <td>1471</td>\n",
       "      <td>1565</td>\n",
       "      <td>1072</td>\n",
       "      <td>1263</td>\n",
       "      <td>1589</td>\n",
       "      <td>892</td>\n",
       "      <td>1327</td>\n",
       "      <td>1989</td>\n",
       "      <td>1036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Berlin</th>\n",
       "      <td>649</td>\n",
       "      <td>723</td>\n",
       "      <td>2552</td>\n",
       "      <td>1899</td>\n",
       "      <td>0</td>\n",
       "      <td>986</td>\n",
       "      <td>782</td>\n",
       "      <td>936</td>\n",
       "      <td>575</td>\n",
       "      <td>743</td>\n",
       "      <td>...</td>\n",
       "      <td>354</td>\n",
       "      <td>1573</td>\n",
       "      <td>697</td>\n",
       "      <td>801</td>\n",
       "      <td>636</td>\n",
       "      <td>712</td>\n",
       "      <td>1172</td>\n",
       "      <td>1108</td>\n",
       "      <td>666</td>\n",
       "      <td>863</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 37 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               Amsterdam  Antwerp  Athens  Barcelona  Berlin  Bern  Brussels  \\\n",
       "Distance (km)                                                                  \n",
       "Amsterdam              0      160    3082       1639     649   875       209   \n",
       "Antwerp              160        0    2766       1465     723   704        46   \n",
       "Athens              3082     2766       0       3312    2552  2627      3021   \n",
       "Barcelona           1639     1465    3312          0    1899   913      1419   \n",
       "Berlin               649      723    2552       1899       0   986       782   \n",
       "\n",
       "               Calais  Cologne  Copenhagen   ...    Prague  Rome  Rotterdam  \\\n",
       "Distance (km)                                ...                              \n",
       "Amsterdam         385      280         904   ...       973  1835         80   \n",
       "Antwerp           211      237         861   ...       870  1660        100   \n",
       "Athens           2976     2562        3414   ...      2198  2551       2826   \n",
       "Barcelona        1399     1539        2230   ...      1679  1471       1565   \n",
       "Berlin            936      575         743   ...       354  1573        697   \n",
       "\n",
       "               Strasbourg  Stuttgart  The Hague  Turin  Venice  Vienna  Zurich  \n",
       "Distance (km)                                                                   \n",
       "Amsterdam             683        703         56   1264    1449    1196     861  \n",
       "Antwerp               544        659        139   1090    1275    1180     687  \n",
       "Athens               2581       2428       3061   2250    1995    1886    2449  \n",
       "Barcelona            1072       1263       1589    892    1327    1989    1036  \n",
       "Berlin                801        636        712   1172    1108     666     863  \n",
       "\n",
       "[5 rows x 37 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#remove 1st column ('unnamed', because there is a comment in first column it was added)\n",
    "distances = distances.drop(distances.columns[0],1)\n",
    "\n",
    "# Show table with removed column\n",
    "distances.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['Amsterdam', 'Antwerp', 'Athens', 'Barcelona', 'Berlin', 'Bern',\n",
      "       'Brussels', 'Calais', 'Cologne', 'Copenhagen', 'Edinburgh', 'Frankfurt',\n",
      "       'Geneva', 'Genoa', 'Hamburg', 'Le Havre', 'Lisbon', 'London',\n",
      "       'Luxembourg', 'Lyon', 'Madrid', 'Marseille', 'Milan', 'Munich',\n",
      "       'Naples', 'Nice', 'Paris', 'Prague', 'Rome', 'Rotterdam', 'Strasbourg',\n",
      "       'Stuttgart', 'The Hague', 'Turin', 'Venice', 'Vienna', 'Zurich'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "## Show index names\n",
    "cities = distances.columns\n",
    "print(cities)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>supply</th>\n",
       "      <th>demand</th>\n",
       "      <th>fixed cost</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Amsterdam</th>\n",
       "      <td>4000</td>\n",
       "      <td>100</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Antwerp</th>\n",
       "      <td>4000</td>\n",
       "      <td>100</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Athens</th>\n",
       "      <td>4000</td>\n",
       "      <td>100</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Barcelona</th>\n",
       "      <td>4000</td>\n",
       "      <td>100</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Berlin</th>\n",
       "      <td>4000</td>\n",
       "      <td>100</td>\n",
       "      <td>150000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           supply  demand  fixed cost\n",
       "Amsterdam    4000     100      150000\n",
       "Antwerp      4000     100      150000\n",
       "Athens       4000     100      150000\n",
       "Barcelona    4000     100      150000\n",
       "Berlin       4000     100      150000"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fixed cost for opening a DC (same for each city)\n",
    "fixed_cost = 150000 #150000\n",
    "\n",
    "# demand equals 100 for each city\n",
    "demand_per_city = 100\n",
    "\n",
    "# Supply capacity of each city is 4000\n",
    "M = 4000\n",
    "\n",
    "# Create pandas dataframe with supply\n",
    "city_params_dict = {'supply': M*np.ones(cities.size, int), \n",
    "                    'demand': demand_per_city*np.ones(cities.size, int), \n",
    "                    'fixed cost': fixed_cost*np.ones(cities.size, int)}\n",
    "city_params = pd.DataFrame(data=city_params_dict, index = cities)\n",
    "city_params.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Advanced side remark for the interested reader:\n",
    "\n",
    "For $M$ we could have chosen any value larger than the sum of the total demand (3700), as we will never send 4000 from one hub. $M$ is used in the so-called \"big-M\" method. Here a binary variable (DC open yes/no) is used to say that another variable is either 0, or can be any continuous value. The trick with larger models is to take $M$ as small as possible without limiting the continuous value. This makes the integer optimization algorithm much more efficient."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create model\n",
    "m = ConcreteModel()\n",
    "\n",
    "# Variables\n",
    "m.locations = Var(cities, within=Binary)\n",
    "m.shipments = Var(cities, cities, within = NonNegativeReals)\n",
    "\n",
    "# Objective\n",
    "m.value = Objective(\n",
    "    expr=sum(m.shipments[i,j]*distances[i][j] for i in cities for j in cities)\n",
    "    + sum(m.locations[i]*city_params.loc[i,'fixed cost'] for i in cities)\n",
    "    , sense=minimize\n",
    "             )\n",
    "\n",
    "# Constraints on demand fulfillment\n",
    "m.demand_fulfillment = ConstraintList()\n",
    "for i in cities:\n",
    "    m.demand_fulfillment.add(sum(m.shipments[i,j] for j in cities) == city_params.loc[i,'demand'])\n",
    "    \n",
    "# Constraints on supply only if DC is open\n",
    "m.supply_restriction = ConstraintList()\n",
    "for j in cities:\n",
    "    m.supply_restriction.add(sum(m.shipments[i,j] for i in cities) <= m.locations[j]*city_params.loc[j,'supply'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solve the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Status = optimal \n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Optimize\n",
    "solver = SolverFactory('cbc') # Take the cbc solver, glpk is very slow\n",
    "status = solver.solve(m,tee=False,) # Set tee to True to see log of the solver\n",
    "\n",
    "# Print the status of the solved mixed integer linear model once it is done\n",
    "print(\"Status = %s \\n\" % status.solver.termination_condition)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Show the solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total optimized cost \t = 2.019 MEuro\n",
      "\t Fixed cost \t = 0.750 MEuro\n",
      "\t Shipment costs  = 1.269 MEuro\n",
      "\n",
      "Total DCs opened = 5\n",
      "\n",
      "DC open:\n",
      "\t-Antwerp\n",
      "\t-Athens\n",
      "\t-Madrid\n",
      "\t-Munich\n",
      "\t-Turin\n"
     ]
    }
   ],
   "source": [
    "print(\"Total optimized cost \\t = %.3f MEuro\" % (value(m.value)/1e6))\n",
    "print(\"\\t Fixed cost \\t = %.3f MEuro\" % (sum([value(m.locations[i]*city_params.loc[i,'fixed cost']) for i in cities])/1e6))\n",
    "print(\"\\t Shipment costs  = %.3f MEuro\\n\" % (sum(value(m.shipments[i,j])*distances[i][j] for i in cities for j in cities)/1e6))\n",
    "\n",
    "print(\"Total DCs opened = %d\\n\" % sum([value(m.locations[i]) for i in cities]))\n",
    "print(\"DC open:\")\n",
    "for i in cities:\n",
    "    if value(m.locations[i] == 1):\n",
    "        print(\"\\t-\"+i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "totalshipments = [sum(value(m.shipments[i,j]) for i in cities) for j in cities]\n",
    "\n",
    "plt.figure(figsize=(3,10))\n",
    "plt.barh(range(cities.size),totalshipments, color=\"blue\",align=\"center\")\n",
    "plt.yticks(range(cities.size),cities,rotation=0)\n",
    "plt.title('Total shipments per DC',fontsize=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Some more visualization (not part of assignment)\n",
    "This requires the installation of the packages geopy and basemap, which can be installed via: ``conda install geopy basemap``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>latitude</th>\n",
       "      <th>longitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Amsterdam</th>\n",
       "      <td>52.372518</td>\n",
       "      <td>4.896977</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Antwerp</th>\n",
       "      <td>51.220117</td>\n",
       "      <td>4.396364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Athens</th>\n",
       "      <td>37.975527</td>\n",
       "      <td>23.734855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Barcelona</th>\n",
       "      <td>41.387027</td>\n",
       "      <td>2.170024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Berlin</th>\n",
       "      <td>52.519881</td>\n",
       "      <td>13.407338</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            latitude  longitude\n",
       "Amsterdam  52.372518   4.896977\n",
       "Antwerp    51.220117   4.396364\n",
       "Athens     37.975527  23.734855\n",
       "Barcelona  41.387027   2.170024\n",
       "Berlin     52.519881  13.407338"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get lat and lon of cities via geocoder\n",
    "from geopy.geocoders import Yandex  # Used for geocoding\n",
    "\n",
    "geolocator = Yandex()               # Open source geocoder. This one seems to work well with only the city names.\n",
    "\n",
    "coordinates = []\n",
    "\n",
    "for i in cities:\n",
    "    location = geolocator.geocode(i)\n",
    "    coordinates.append([location.latitude, location.longitude])\n",
    "    \n",
    "df_coordinates = pd.DataFrame(coordinates, index=cities, columns=['latitude', 'longitude'])\n",
    "df_coordinates.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1728 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.basemap import Basemap\n",
    "\n",
    "# create new figure, axes instances.\n",
    "fig=plt.figure(figsize=(16,24))\n",
    "ax=fig.add_axes([0.1,0.1,0.8,0.8])\n",
    "\n",
    "# setup mercator map projection.\n",
    "map_europe = Basemap(llcrnrlon=-20.,llcrnrlat=35.,urcrnrlon=50.,urcrnrlat=60.,\\\n",
    "            rsphere=(6378137.00,6356752.3142),\\\n",
    "            resolution='l',projection='merc',\\\n",
    "            lat_0=40.,lon_0=-20.,lat_ts=20.)\n",
    "\n",
    "map_europe.fillcontinents(color='white')#,lake_color='#85A6D9')\n",
    "map_europe.drawcoastlines(color='#6D5F47', linewidth=.4)\n",
    "map_europe.drawcountries(color='#6D5F47', linewidth=.4)\n",
    "\n",
    "# Drawing lines\n",
    "for i in cities:\n",
    "    for j in cities:\n",
    "        if (value(m.shipments[i,j]) > 0):           \n",
    "            olon = df_coordinates.loc[i,'longitude']\n",
    "            olat = df_coordinates.loc[i,'latitude']\n",
    "            dlon = df_coordinates.loc[j,'longitude']\n",
    "            dlat = df_coordinates.loc[j,'latitude']\n",
    "            \n",
    "            # draw route between origin and destination\n",
    "            map_europe.drawgreatcircle(olon,olat,dlon,dlat,linewidth=1,color='b')\n",
    "\n",
    "# Drawing points\n",
    "for i in cities:\n",
    "    x, y = map_europe.projtran(df_coordinates.loc[i,'longitude'], df_coordinates.loc[i,'latitude'])  # Some transformation of coordinates that is needed\n",
    "    if (value(m.locations[i]) > 0): # DC is open\n",
    "        map_europe.plot(x, y, 'r^', markersize=15)\n",
    "    else:\n",
    "        map_europe.plot(x, y, 'go', markersize=5)\n",
    "            \n",
    "ax.set_title('Facility Location Solution')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}