Assigning_Students_to_Teachers.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "MFWDdkuY_Z8o"
   },
   "source": [
    "# Inputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "outputs": [],
   "source": [
    "STUDENTS = [\n",
    "    ('Student 1', '3710 Pio Pico St, San Diego, CA, 92106'),\n",
    "    ('Student 2', '1600 PARADISE HILLS RD, SAN DIEGO, CA 92114-7883'),\n",
    "    ('Student 3', '1100 BEYER WAY, SAN DIEGO, CA 92154-4622'),\n",
    "    ('Student 4', '9900 PINEKNOLL LN, SAN DIEGO, CA 92124-1810'),\n",
    "    ('Student 5', '4716 Ladner St, San Diego, CA, 92113'),\n",
    "    ('Student 6', '4482 48TH ST APT 4, SAN DIEGO, CA 92115-4534'),\n",
    "    ('Student 7', '4505 LIMERICK AVE, SAN DIEGO, CA 92117-3219'),\n",
    "    ('Student 8', '12300 RAGWEED ST, SAN DIEGO, CA 92129-4107'),\n",
    "    ('Student 9', '9889 HIBERT ST, SAN DIEGO, CA 92131-1062'),\n",
    "    ('Student 10', '5000 COVE VIEW PL, SAN DIEGO, CA 92154-8447'),\n",
    "    ('Student 11', '3241 ISLAND AVE, SAN DIEGO, CA 92102-4245'),\n",
    "    ('Student 12', '8851 LA CINTURA CT, SAN DIEGO, CA 92129-3313'),\n",
    "    ('Student 13', '4336 W POINT LOMA BLVD, SAN DIEGO, CA 92107-1182'),\n",
    "    ('Student 14', '10378 SCRIPPS POWAY PKWY, SAN DIEGO, CA 92131-5126'),\n",
    "]\n",
    "STUDENT_NAMES = [x[0] for x in STUDENTS]\n",
    "STUDENT_ADDRESSES = [x[1] for x in STUDENTS]\n",
    "\n",
    "# Name, address, max students\n",
    "FACILITIES = [\n",
    "    ('Teacher 1', '2501 HALLER ST, SAN DIEGO, CA 92104-5330', 5),\n",
    "    ('Teacher 2', '701 ALBION ST, SAN DIEGO, CA 92106-3212', 5),\n",
    "    ('Teacher 3', '4480 JUTLAND DR, SAN DIEGO, CA 92117-3647', 5),\n",
    "]\n",
    "FACILITY_NAMES = [x[0] for x in FACILITIES]\n",
    "FACILITY_ADDRESSES = [x[1] for x in FACILITIES]\n",
    "FACILITY_MAX_STUDENTS = {name: max_students for name, _, max_students in FACILITIES}"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Calculations"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: folium in ./venv/lib/python3.10/site-packages (0.14.0)\r\n",
      "Requirement already satisfied: geopy in ./venv/lib/python3.10/site-packages (2.3.0)\r\n",
      "Requirement already satisfied: googlemaps in ./venv/lib/python3.10/site-packages (4.10.0)\r\n",
      "Requirement already satisfied: scipy in ./venv/lib/python3.10/site-packages (1.10.1)\r\n",
      "Requirement already satisfied: pulp in ./venv/lib/python3.10/site-packages (2.7.0)\r\n",
      "Requirement already satisfied: jinja2>=2.9 in ./venv/lib/python3.10/site-packages (from folium) (3.1.2)\r\n",
      "Requirement already satisfied: numpy in ./venv/lib/python3.10/site-packages (from folium) (1.24.2)\r\n",
      "Requirement already satisfied: branca>=0.6.0 in ./venv/lib/python3.10/site-packages (from folium) (0.6.0)\r\n",
      "Requirement already satisfied: requests in /app/lib/python3.10/site-packages (from folium) (2.28.1)\r\n",
      "Requirement already satisfied: geographiclib<3,>=1.52 in ./venv/lib/python3.10/site-packages (from geopy) (2.0)\r\n",
      "Requirement already satisfied: MarkupSafe>=2.0 in ./venv/lib/python3.10/site-packages (from jinja2>=2.9->folium) (2.1.2)\r\n",
      "Requirement already satisfied: idna<4,>=2.5 in /app/lib/python3.10/site-packages (from requests->folium) (3.4)\r\n",
      "Requirement already satisfied: urllib3<1.27,>=1.21.1 in /app/lib/python3.10/site-packages (from requests->folium) (1.26.12)\r\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /app/lib/python3.10/site-packages (from requests->folium) (2022.9.24)\r\n",
      "Requirement already satisfied: charset-normalizer<3,>=2 in /app/lib/python3.10/site-packages (from requests->folium) (2.1.1)\r\n",
      "\r\n",
      "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m A new release of pip available: \u001B[0m\u001B[31;49m22.3.1\u001B[0m\u001B[39;49m -> \u001B[0m\u001B[32;49m23.0.1\u001B[0m\r\n",
      "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m To update, run: \u001B[0m\u001B[32;49mpip install --upgrade pip\u001B[0m\r\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install folium geopy googlemaps scipy pulp"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "outputs": [],
   "source": [
    "import googlemaps\n",
    "\n",
    "gmaps = googlemaps.Client(key=\"AIzaSyAX2VjikCwK4l36Rxiy4_cinERGphhyif4\")\n",
    "def calculate_driving_time(origin, destination):\n",
    "    result = gmaps.distance_matrix(origin, destination, mode=\"driving\")\n",
    "    if result['rows'][0]['elements'][0]['status'] == 'OK':\n",
    "        duration_seconds = result['rows'][0]['elements'][0]['duration']['value']\n",
    "        duration_readable = result['rows'][0]['elements'][0]['duration']['text']\n",
    "        return duration_seconds, duration_readable\n",
    "    else:\n",
    "        return None, None\n",
    "\n",
    "def calculate_driving_time_matrix(student_addresses, teacher_addresses):\n",
    "    driving_time_matrix = np.zeros((len(student_addresses), len(teacher_addresses)))\n",
    "\n",
    "    for i, student in enumerate(student_addresses):\n",
    "        for j, teacher in enumerate(teacher_addresses):\n",
    "            directions = gmaps.directions(student, teacher, mode='driving')\n",
    "            driving_time = directions[0]['legs'][0]['duration']['value']\n",
    "            driving_time_matrix[i][j] = driving_time\n",
    "\n",
    "    return driving_time_matrix\n",
    "\n",
    "driving_time = calculate_driving_time_matrix(STUDENT_ADDRESSES, FACILITY_ADDRESSES)\n"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Driving time matrix\n",
      "{'Teacher 1': {'Student 1': 1275,\n",
      "               'Student 10': 1355,\n",
      "               'Student 11': 628,\n",
      "               'Student 12': 1671,\n",
      "               'Student 13': 994,\n",
      "               'Student 14': 1284,\n",
      "               'Student 2': 1182,\n",
      "               'Student 3': 1355,\n",
      "               'Student 4': 890,\n",
      "               'Student 5': 732,\n",
      "               'Student 6': 912,\n",
      "               'Student 7': 813,\n",
      "               'Student 8': 1461,\n",
      "               'Student 9': 1234},\n",
      " 'Teacher 2': {'Student 1': 121,\n",
      "               'Student 10': 1966,\n",
      "               'Student 11': 1244,\n",
      "               'Student 12': 2138,\n",
      "               'Student 13': 713,\n",
      "               'Student 14': 1751,\n",
      "               'Student 2': 1806,\n",
      "               'Student 3': 1863,\n",
      "               'Student 4': 1444,\n",
      "               'Student 5': 1343,\n",
      "               'Student 6': 1466,\n",
      "               'Student 7': 1288,\n",
      "               'Student 8': 1928,\n",
      "               'Student 9': 1701},\n",
      " 'Teacher 3': {'Student 1': 1282,\n",
      "               'Student 10': 1709,\n",
      "               'Student 11': 1019,\n",
      "               'Student 12': 1367,\n",
      "               'Student 13': 1000,\n",
      "               'Student 14': 1089,\n",
      "               'Student 2': 1536,\n",
      "               'Student 3': 1638,\n",
      "               'Student 4': 783,\n",
      "               'Student 5': 1086,\n",
      "               'Student 6': 1171,\n",
      "               'Student 7': 638,\n",
      "               'Student 8': 1266,\n",
      "               'Student 9': 1039}}\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from pprint import pprint\n",
    "\n",
    "def calculate_driving_time_matrix(students, facilities):\n",
    "    matrix = {facility_name: {} for facility_name, _, _ in facilities}\n",
    "\n",
    "    for student_name, student_address in students:\n",
    "        for facility_name, facility_address, _ in facilities:\n",
    "            directions = gmaps.directions(student_address, facility_address, mode='driving')\n",
    "            driving_time = directions[0]['legs'][0]['duration']['value']\n",
    "            matrix[facility_name][student_name] = driving_time\n",
    "\n",
    "    return matrix\n",
    "\n",
    "driving_time_matrix = calculate_driving_time_matrix(STUDENTS, FACILITIES)\n",
    "\n",
    "print('Driving time matrix')\n",
    "pprint(driving_time_matrix)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "outputs": [],
   "source": [
    "from pulp import *\n",
    "\n",
    "# Setting the problem\n",
    "problem = LpProblem(\"CFLP\", LpMinimize)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "outputs": [],
   "source": [
    "# Defining our decision variables\n",
    "# use_facility = LpVariable.dicts(\"Use Facility\", FACILITY_NAMES, 0, 1, LpBinary)\n",
    "served_students = LpVariable.dicts(\"Service\", [(i, j) for i in STUDENT_NAMES for j in FACILITY_NAMES], 0)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "outputs": [],
   "source": [
    "# Setting the objective function\n",
    "problem += lpSum(driving_time_matrix[j][i] * served_students[(i, j)] for j in FACILITY_NAMES for i in STUDENT_NAMES)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "outputs": [],
   "source": [
    "# Define constraints\n",
    "\n",
    "# Constraint: Each student must be served by one facility\n",
    "for i in STUDENT_NAMES:\n",
    "    problem += lpSum(served_students[(i,j)] for j in FACILITY_NAMES) == 1\n",
    "\n",
    "\n",
    "# Constraint: A facility cannot deliver more than its capacity limit\n",
    "for j in FACILITY_NAMES:\n",
    "    problem += lpSum(served_students[(i, j)] for i in STUDENT_NAMES) <= FACILITY_MAX_STUDENTS[j]"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to the CBC MILP Solver \n",
      "Version: 2.10.3 \n",
      "Build Date: Dec 15 2019 \n",
      "\n",
      "command line - /home/clay/Projects/notebooks/venv/lib/python3.10/site-packages/pulp/solverdir/cbc/linux/64/cbc /tmp/ef8fc76672734b9ead6e993447b85bfe-pulp.mps timeMode elapsed branch printingOptions all solution /tmp/ef8fc76672734b9ead6e993447b85bfe-pulp.sol (default strategy 1)\n",
      "At line 2 NAME          MODEL\n",
      "At line 3 ROWS\n",
      "At line 22 COLUMNS\n",
      "At line 149 RHS\n",
      "At line 167 BOUNDS\n",
      "At line 168 ENDATA\n",
      "Problem MODEL has 17 rows, 42 columns and 84 elements\n",
      "Coin0008I MODEL read with 0 errors\n",
      "Option for timeMode changed from cpu to elapsed\n",
      "Presolve 17 (0) rows, 42 (0) columns and 84 (0) elements\n",
      "0  Obj 0 Primal inf 13.999999 (14)\n",
      "17  Obj 14338\n",
      "Optimal - objective value 14338\n",
      "Optimal objective 14338 - 17 iterations time 0.002\n",
      "Option for printingOptions changed from normal to all\n",
      "Total time (CPU seconds):       0.00   (Wallclock seconds):       0.00\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": "1"
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "problem.solve()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solution Status =  Optimal\n",
      "CFLP:\n",
      "MINIMIZE\n",
      "1275*Service_('Student_1',_'Teacher_1') + 121*Service_('Student_1',_'Teacher_2') + 1282*Service_('Student_1',_'Teacher_3') + 1355*Service_('Student_10',_'Teacher_1') + 1966*Service_('Student_10',_'Teacher_2') + 1709*Service_('Student_10',_'Teacher_3') + 628*Service_('Student_11',_'Teacher_1') + 1244*Service_('Student_11',_'Teacher_2') + 1019*Service_('Student_11',_'Teacher_3') + 1671*Service_('Student_12',_'Teacher_1') + 2138*Service_('Student_12',_'Teacher_2') + 1367*Service_('Student_12',_'Teacher_3') + 994*Service_('Student_13',_'Teacher_1') + 713*Service_('Student_13',_'Teacher_2') + 1000*Service_('Student_13',_'Teacher_3') + 1284*Service_('Student_14',_'Teacher_1') + 1751*Service_('Student_14',_'Teacher_2') + 1089*Service_('Student_14',_'Teacher_3') + 1182*Service_('Student_2',_'Teacher_1') + 1806*Service_('Student_2',_'Teacher_2') + 1536*Service_('Student_2',_'Teacher_3') + 1355*Service_('Student_3',_'Teacher_1') + 1863*Service_('Student_3',_'Teacher_2') + 1638*Service_('Student_3',_'Teacher_3') + 890*Service_('Student_4',_'Teacher_1') + 1444*Service_('Student_4',_'Teacher_2') + 783*Service_('Student_4',_'Teacher_3') + 732*Service_('Student_5',_'Teacher_1') + 1343*Service_('Student_5',_'Teacher_2') + 1086*Service_('Student_5',_'Teacher_3') + 912*Service_('Student_6',_'Teacher_1') + 1466*Service_('Student_6',_'Teacher_2') + 1171*Service_('Student_6',_'Teacher_3') + 813*Service_('Student_7',_'Teacher_1') + 1288*Service_('Student_7',_'Teacher_2') + 638*Service_('Student_7',_'Teacher_3') + 1461*Service_('Student_8',_'Teacher_1') + 1928*Service_('Student_8',_'Teacher_2') + 1266*Service_('Student_8',_'Teacher_3') + 1234*Service_('Student_9',_'Teacher_1') + 1701*Service_('Student_9',_'Teacher_2') + 1039*Service_('Student_9',_'Teacher_3') + 0\n",
      "SUBJECT TO\n",
      "_C1: Service_('Student_1',_'Teacher_1') + Service_('Student_1',_'Teacher_2')\n",
      " + Service_('Student_1',_'Teacher_3') = 1\n",
      "\n",
      "_C2: Service_('Student_2',_'Teacher_1') + Service_('Student_2',_'Teacher_2')\n",
      " + Service_('Student_2',_'Teacher_3') = 1\n",
      "\n",
      "_C3: Service_('Student_3',_'Teacher_1') + Service_('Student_3',_'Teacher_2')\n",
      " + Service_('Student_3',_'Teacher_3') = 1\n",
      "\n",
      "_C4: Service_('Student_4',_'Teacher_1') + Service_('Student_4',_'Teacher_2')\n",
      " + Service_('Student_4',_'Teacher_3') = 1\n",
      "\n",
      "_C5: Service_('Student_5',_'Teacher_1') + Service_('Student_5',_'Teacher_2')\n",
      " + Service_('Student_5',_'Teacher_3') = 1\n",
      "\n",
      "_C6: Service_('Student_6',_'Teacher_1') + Service_('Student_6',_'Teacher_2')\n",
      " + Service_('Student_6',_'Teacher_3') = 1\n",
      "\n",
      "_C7: Service_('Student_7',_'Teacher_1') + Service_('Student_7',_'Teacher_2')\n",
      " + Service_('Student_7',_'Teacher_3') = 1\n",
      "\n",
      "_C8: Service_('Student_8',_'Teacher_1') + Service_('Student_8',_'Teacher_2')\n",
      " + Service_('Student_8',_'Teacher_3') = 1\n",
      "\n",
      "_C9: Service_('Student_9',_'Teacher_1') + Service_('Student_9',_'Teacher_2')\n",
      " + Service_('Student_9',_'Teacher_3') = 1\n",
      "\n",
      "_C10: Service_('Student_10',_'Teacher_1')\n",
      " + Service_('Student_10',_'Teacher_2') + Service_('Student_10',_'Teacher_3')\n",
      " = 1\n",
      "\n",
      "_C11: Service_('Student_11',_'Teacher_1')\n",
      " + Service_('Student_11',_'Teacher_2') + Service_('Student_11',_'Teacher_3')\n",
      " = 1\n",
      "\n",
      "_C12: Service_('Student_12',_'Teacher_1')\n",
      " + Service_('Student_12',_'Teacher_2') + Service_('Student_12',_'Teacher_3')\n",
      " = 1\n",
      "\n",
      "_C13: Service_('Student_13',_'Teacher_1')\n",
      " + Service_('Student_13',_'Teacher_2') + Service_('Student_13',_'Teacher_3')\n",
      " = 1\n",
      "\n",
      "_C14: Service_('Student_14',_'Teacher_1')\n",
      " + Service_('Student_14',_'Teacher_2') + Service_('Student_14',_'Teacher_3')\n",
      " = 1\n",
      "\n",
      "_C15: Service_('Student_1',_'Teacher_1') + Service_('Student_10',_'Teacher_1')\n",
      " + Service_('Student_11',_'Teacher_1') + Service_('Student_12',_'Teacher_1')\n",
      " + Service_('Student_13',_'Teacher_1') + Service_('Student_14',_'Teacher_1')\n",
      " + Service_('Student_2',_'Teacher_1') + Service_('Student_3',_'Teacher_1')\n",
      " + Service_('Student_4',_'Teacher_1') + Service_('Student_5',_'Teacher_1')\n",
      " + Service_('Student_6',_'Teacher_1') + Service_('Student_7',_'Teacher_1')\n",
      " + Service_('Student_8',_'Teacher_1') + Service_('Student_9',_'Teacher_1')\n",
      " <= 5\n",
      "\n",
      "_C16: Service_('Student_1',_'Teacher_2') + Service_('Student_10',_'Teacher_2')\n",
      " + Service_('Student_11',_'Teacher_2') + Service_('Student_12',_'Teacher_2')\n",
      " + Service_('Student_13',_'Teacher_2') + Service_('Student_14',_'Teacher_2')\n",
      " + Service_('Student_2',_'Teacher_2') + Service_('Student_3',_'Teacher_2')\n",
      " + Service_('Student_4',_'Teacher_2') + Service_('Student_5',_'Teacher_2')\n",
      " + Service_('Student_6',_'Teacher_2') + Service_('Student_7',_'Teacher_2')\n",
      " + Service_('Student_8',_'Teacher_2') + Service_('Student_9',_'Teacher_2')\n",
      " <= 5\n",
      "\n",
      "_C17: Service_('Student_1',_'Teacher_3') + Service_('Student_10',_'Teacher_3')\n",
      " + Service_('Student_11',_'Teacher_3') + Service_('Student_12',_'Teacher_3')\n",
      " + Service_('Student_13',_'Teacher_3') + Service_('Student_14',_'Teacher_3')\n",
      " + Service_('Student_2',_'Teacher_3') + Service_('Student_3',_'Teacher_3')\n",
      " + Service_('Student_4',_'Teacher_3') + Service_('Student_5',_'Teacher_3')\n",
      " + Service_('Student_6',_'Teacher_3') + Service_('Student_7',_'Teacher_3')\n",
      " + Service_('Student_8',_'Teacher_3') + Service_('Student_9',_'Teacher_3')\n",
      " <= 5\n",
      "\n",
      "VARIABLES\n",
      "Service_('Student_1',_'Teacher_1') Continuous\n",
      "Service_('Student_1',_'Teacher_2') Continuous\n",
      "Service_('Student_1',_'Teacher_3') Continuous\n",
      "Service_('Student_10',_'Teacher_1') Continuous\n",
      "Service_('Student_10',_'Teacher_2') Continuous\n",
      "Service_('Student_10',_'Teacher_3') Continuous\n",
      "Service_('Student_11',_'Teacher_1') Continuous\n",
      "Service_('Student_11',_'Teacher_2') Continuous\n",
      "Service_('Student_11',_'Teacher_3') Continuous\n",
      "Service_('Student_12',_'Teacher_1') Continuous\n",
      "Service_('Student_12',_'Teacher_2') Continuous\n",
      "Service_('Student_12',_'Teacher_3') Continuous\n",
      "Service_('Student_13',_'Teacher_1') Continuous\n",
      "Service_('Student_13',_'Teacher_2') Continuous\n",
      "Service_('Student_13',_'Teacher_3') Continuous\n",
      "Service_('Student_14',_'Teacher_1') Continuous\n",
      "Service_('Student_14',_'Teacher_2') Continuous\n",
      "Service_('Student_14',_'Teacher_3') Continuous\n",
      "Service_('Student_2',_'Teacher_1') Continuous\n",
      "Service_('Student_2',_'Teacher_2') Continuous\n",
      "Service_('Student_2',_'Teacher_3') Continuous\n",
      "Service_('Student_3',_'Teacher_1') Continuous\n",
      "Service_('Student_3',_'Teacher_2') Continuous\n",
      "Service_('Student_3',_'Teacher_3') Continuous\n",
      "Service_('Student_4',_'Teacher_1') Continuous\n",
      "Service_('Student_4',_'Teacher_2') Continuous\n",
      "Service_('Student_4',_'Teacher_3') Continuous\n",
      "Service_('Student_5',_'Teacher_1') Continuous\n",
      "Service_('Student_5',_'Teacher_2') Continuous\n",
      "Service_('Student_5',_'Teacher_3') Continuous\n",
      "Service_('Student_6',_'Teacher_1') Continuous\n",
      "Service_('Student_6',_'Teacher_2') Continuous\n",
      "Service_('Student_6',_'Teacher_3') Continuous\n",
      "Service_('Student_7',_'Teacher_1') Continuous\n",
      "Service_('Student_7',_'Teacher_2') Continuous\n",
      "Service_('Student_7',_'Teacher_3') Continuous\n",
      "Service_('Student_8',_'Teacher_1') Continuous\n",
      "Service_('Student_8',_'Teacher_2') Continuous\n",
      "Service_('Student_8',_'Teacher_3') Continuous\n",
      "Service_('Student_9',_'Teacher_1') Continuous\n",
      "Service_('Student_9',_'Teacher_2') Continuous\n",
      "Service_('Student_9',_'Teacher_3') Continuous\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\"Solution Status = \", LpStatus[problem.status])\n",
    "print(problem)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('Student 1', 'Teacher 2'),\n",
      " ('Student 2', 'Teacher 1'),\n",
      " ('Student 3', 'Teacher 2'),\n",
      " ('Student 4', 'Teacher 3'),\n",
      " ('Student 5', 'Teacher 1'),\n",
      " ('Student 6', 'Teacher 1'),\n",
      " ('Student 7', 'Teacher 2'),\n",
      " ('Student 8', 'Teacher 3'),\n",
      " ('Student 9', 'Teacher 3'),\n",
      " ('Student 10', 'Teacher 1'),\n",
      " ('Student 11', 'Teacher 1'),\n",
      " ('Student 12', 'Teacher 3'),\n",
      " ('Student 13', 'Teacher 2'),\n",
      " ('Student 14', 'Teacher 3')]\n"
     ]
    }
   ],
   "source": [
    "from pprint import pprint\n",
    "\n",
    "# pprint(served_students)\n",
    "# print(served_students[('Student 1', 'Teacher 2')].varValue)\n",
    "\n",
    "assignments = [key for key, service in served_students.items() if service.varValue == 1.0]\n",
    "\n",
    "pprint(assignments)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GiLWLYnJ_m1Q"
   },
   "source": [
    "# Outputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'Student 1': (32.7145216, -117.2461397),\n",
      " 'Student 10': (32.5760873, -117.0257378),\n",
      " 'Student 11': (32.7109366, -117.1236608),\n",
      " 'Student 12': (32.9748665, -117.1385397),\n",
      " 'Student 13': (32.7558198, -117.2296265),\n",
      " 'Student 14': (32.9387415, -117.1057957),\n",
      " 'Student 2': (32.6942205, -117.0445095),\n",
      " 'Student 3': (32.5748939, -117.0652029),\n",
      " 'Student 4': (32.8290035, -117.1131428),\n",
      " 'Student 5': (32.6955398, -117.0933534),\n",
      " 'Student 6': (32.7612759, -117.0735241),\n",
      " 'Student 7': (32.827266, -117.1759008),\n",
      " 'Student 8': (32.9416962, -117.1413022),\n",
      " 'Student 9': (32.9128219, -117.1127332)}\n",
      "{'Teacher 1': (32.7327958, -117.1137927),\n",
      " 'Teacher 2': (32.7164432, -117.2429769),\n",
      " 'Teacher 3': (32.8269408, -117.2223455)}\n"
     ]
    }
   ],
   "source": [
    "from pprint import pprint\n",
    "\n",
    "def geocode_address(address):\n",
    "    geocode_result = gmaps.geocode(address)\n",
    "\n",
    "    if geocode_result:\n",
    "        location = geocode_result[0]['geometry']['location']\n",
    "        return location['lat'], location['lng']\n",
    "    else:\n",
    "        return None, None\n",
    "\n",
    "student_locations = {student_name: geocode_address(student_address) for student_name, student_address in STUDENTS}\n",
    "\n",
    "facility_locations = {facility_name: geocode_address(facility_address) for facility_name, facility_address, _ in FACILITIES}\n",
    "\n",
    "pprint(student_locations)\n",
    "pprint(facility_locations)\n"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UIxZzY0n-1vM"
   },
   "source": [
    "# Student and Teacher Map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "id": "8cnp3snv-1vO"
   },
   "outputs": [
    {
     "data": {
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style=&quot;width: 100.0%; height: 100.0%;&quot;&gt;Teacher 3&lt;/div&gt;`)[0];\n                popup_02a34d3acb9fa86db2859f2f1665a7d5.setContent(html_07e8ccd8c88a04b23c0d9fe03723cee0);\n            \n        \n\n        marker_4efd89b7f8f1eaa12add59c4021a13ea.bindPopup(popup_02a34d3acb9fa86db2859f2f1665a7d5)\n        ;\n\n        \n    \n&lt;/script&gt;\n&lt;/html&gt;\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" allowfullscreen webkitallowfullscreen mozallowfullscreen></iframe></div></div>"
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import folium\n",
    "\n",
    "def plot_people_map(student_locations, facility_locations):\n",
    "    # Calculate the map's initial center (average latitude and longitude)\n",
    "    center_lat = sum([coords[0] for coords in student_locations.values()]) / len(student_locations)\n",
    "    center_lon = sum([coords[1] for coords in student_locations.values()]) / len(student_locations)\n",
    "\n",
    "    m = folium.Map(location=[center_lat, center_lon], zoom_start=10)\n",
    "\n",
    "    # Add student markers\n",
    "    for student_name, student_coords in student_locations.items():\n",
    "        folium.Marker(\n",
    "            location=student_coords,\n",
    "            popup=f\"{student_name}\",\n",
    "            icon=folium.Icon(color=\"blue\", icon=\"graduation-cap\", prefix=\"fa\")\n",
    "        ).add_to(m)\n",
    "\n",
    "    # Add teacher markers\n",
    "    for facility_name, facility_coords in facility_locations.items():\n",
    "        folium.Marker(\n",
    "            location=facility_coords,\n",
    "            popup=f\"{facility_name}\",\n",
    "            icon=folium.Icon(color=\"red\", icon=\"user\", prefix=\"fa\")\n",
    "        ).add_to(m)\n",
    "\n",
    "    return m\n",
    "\n",
    "people_map_plot = plot_people_map(student_locations, facility_locations)\n",
    "people_map_plot\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_pJFOoFh-k43"
   },
   "source": [
    "# Class Map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "id": "5B4Jx9ZG9eV2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<folium.folium.Map at 0x7f310c94e4d0>",
      "text/html": "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe srcdoc=\"&lt;!DOCTYPE html&gt;\n&lt;html&gt;\n&lt;head&gt;\n    \n    &lt;meta http-equiv=&quot;content-type&quot; content=&quot;text/html; charset=UTF-8&quot; /&gt;\n    \n        &lt;script&gt;\n            L_NO_TOUCH = false;\n            L_DISABLE_3D = false;\n        &lt;/script&gt;\n    \n    &lt;style&gt;html, body {width: 100%;height: 100%;margin: 0;padding: 0;}&lt;/style&gt;\n    &lt;style&gt;#map {position:absolute;top:0;bottom:0;right:0;left:0;}&lt;/style&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://code.jquery.com/jquery-1.12.4.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/js/bootstrap.bundle.min.js&quot;&gt;&lt;/script&gt;\n    &lt;script src=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.js&quot;&gt;&lt;/script&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/leaflet@1.9.3/dist/leaflet.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/bootstrap@5.2.2/dist/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://netdna.bootstrapcdn.com/bootstrap/3.0.0/css/bootstrap.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free@6.2.0/css/all.min.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; href=&quot;https://cdnjs.cloudflare.com/ajax/libs/Leaflet.awesome-markers/2.0.2/leaflet.awesome-markers.css&quot;/&gt;\n    &lt;link rel=&quot;stylesheet&quot; 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     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import folium\n",
    "\n",
    "def plot_class_map(student_locations, facility_locations, assignments):\n",
    "    # Calculate the map's initial center (average latitude and longitude)\n",
    "    center_lat = sum([coords[0] for coords in student_locations.values()]) / len(student_locations)\n",
    "    center_lon = sum([coords[1] for coords in student_locations.values()]) / len(student_locations)\n",
    "\n",
    "    m = folium.Map(location=[center_lat, center_lon], zoom_start=10)\n",
    "\n",
    "    # Add student markers\n",
    "    for student_name, student_coordinates in student_locations.items():\n",
    "        folium.Marker(\n",
    "            location=student_coordinates,\n",
    "            popup=f\"{student_name}\",\n",
    "            icon=folium.Icon(color=\"blue\", icon=\"graduation-cap\", prefix=\"fa\")\n",
    "        ).add_to(m)\n",
    "\n",
    "    # Add facility markers\n",
    "    for facility_name, facility_coordinates in facility_locations.items():\n",
    "        folium.Marker(\n",
    "            location=facility_coordinates,\n",
    "            popup=f\"{facility_name}\",\n",
    "            icon=folium.Icon(color=\"red\", icon=\"user\", prefix=\"fa\")\n",
    "        ).add_to(m)\n",
    "\n",
    "    # Draw lines connecting students to their assigned facility\n",
    "    for student_name, facility_name in assignments:\n",
    "        facility_coordinates = facility_locations[facility_name]\n",
    "        student_coordinates = student_locations[student_name]\n",
    "        folium.PolyLine(\n",
    "            locations=[facility_coordinates, student_coordinates],\n",
    "            color=\"black\",\n",
    "            weight=1,\n",
    "            opacity=0.5\n",
    "        ).add_to(m)\n",
    "\n",
    "    return m\n",
    "\n",
    "class_map_plot = plot_class_map(student_locations, facility_locations, assignments)\n",
    "class_map_plot\n"
   ]
  }
 ],
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