scp.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 397,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import gurobipy as gb\n",
    "import matplotlib.pyplot as plt\n",
    "import random"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Global Variables\n",
    "\n",
    "You can play around with `num_demand_points` and `coverage_radius` to see how the solution changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 398,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the dimensions of the rectangular region\n",
    "region_width = 100\n",
    "region_height = 100\n",
    "\n",
    "# Set the number of demand points\n",
    "num_demand_points = 20\n",
    "\n",
    "# Set the coverage radius of a UAV\n",
    "coverage_radius = 30\n",
    "\n",
    "# Graph config\n",
    "figsize=(8,6)\n",
    "label_font_size=12\n",
    "node_size=500\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Generation\n",
    "Data is generated with a random integer `x` and `y` coordinate between `0` and the bounds of the region (`region_width` and `region_height`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 399,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "G has 50 nodes\n"
     ]
    }
   ],
   "source": [
    "# Create an empty graph\n",
    "G = nx.Graph()\n",
    "\n",
    "# Generate random positions for demand points within the rectangular region\n",
    "demand_points = []\n",
    "for i in range(num_demand_points):\n",
    "    x = random.randint(0, region_width)\n",
    "    y = random.randint(0, region_height)\n",
    "    demand_points.append((x, y))\n",
    "    G.add_node(i, pos=(x, y)) \n",
    "\n",
    "print (\"G has\", G.number_of_nodes(), \"nodes\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 400,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = nx.get_node_attributes(G, 'pos')\n",
    "\n",
    "plt.figure(figsize=figsize)\n",
    "nx.draw_networkx_labels(G, pos, font_size=label_font_size)\n",
    "nx.draw_networkx_nodes(G, pos, node_color='lightblue', node_size=node_size)\n",
    "nx.draw_networkx_edges(G, pos)\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sets\n",
    "- $N$ = set of demand points\n",
    "- $M$ = set of flight position of UAVs\n",
    "\n",
    "### Parameters\n",
    "- $b^x_j$ = flight position of UAV $j$ on x-coordinate\n",
    "- $b^y_j$ = flight position of UAV $j$ on y-coordinate\n",
    "- $\\alpha_{ij}$ = binary feasibility of UAV $j$ covering demand point $i$\n",
    "\n",
    "### Decision Variables\n",
    "$$y_j = \n",
    "\\begin{cases}\n",
    "1,\\quad \\text{ if UAV $j$ is used} \\\\\n",
    "0,\\quad \\text{otherwise}\n",
    "\\end{cases}$$\n",
    "\n",
    "$$x_{ij} = \n",
    "\\begin{cases}\n",
    "1,\\quad \\text{ if demand point $i$ is covered by UAV $j$} \\\\\n",
    "0,\\quad \\text{otherwise}\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "\n",
    "$$ \\forall i \\in N \\\\ \\forall j \\in N$$\n",
    "\n",
    "\n",
    "\n",
    "### Objective function\n",
    "$$\\begin{alignat}{3}\n",
    "& \\min \\sum_{j \\in M}y_j \\\\\n",
    "& \\text{s.t.} x_{ij} \\le y_j \\quad && \\forall i \\in N, \\forall j \\in M \\\\\n",
    "& \\sum_{j \\in M} \\alpha_{ij}x_{ij} \\ge 1 \\quad && \\forall i \\in N \\\\\n",
    "& x_{ij} \\in \\{0, 1\\} \\quad && \\forall i \\in N, \\forall j \\in M \\\\\n",
    "& y_j \\in \\{0, 1\\} \\quad && \\forall j \\in M\n",
    "\n",
    "\\end{alignat}$$\n",
    "\n",
    "### Distance\n",
    "\n",
    "Distance between each demand point is calculated using the Euclidean distance formula: $$\\sqrt{(a^x_i - b^x_j)^2 + (a^y_i - b^y_j)^2}$$\n",
    "\n",
    "$\\alpha = 1$ if distance is less than or equal to the coverage radius, $0$ otherwise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 401,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: variable name \"x_(0, 0)\" has a space\n",
      "Warning: to let Gurobi read it back, use rlp format\n",
      "Gurobi Optimizer version 10.0.1 build v10.0.1rc0 (mac64[x86])\n",
      "\n",
      "CPU model: Intel(R) Core(TM) i9-9880H CPU @ 2.30GHz\n",
      "Thread count: 8 physical cores, 16 logical processors, using up to 16 threads\n",
      "\n",
      "Optimize a model with 2550 rows, 2550 columns and 5582 nonzeros\n",
      "Model fingerprint: 0x0d9cb7a3\n",
      "Variable types: 0 continuous, 2550 integer (2550 binary)\n",
      "Coefficient statistics:\n",
      "  Matrix range     [1e+00, 1e+00]\n",
      "  Objective range  [1e+00, 1e+00]\n",
      "  Bounds range     [1e+00, 1e+00]\n",
      "  RHS range        [1e+00, 1e+00]\n",
      "Found heuristic solution: objective 50.0000000\n",
      "Found heuristic solution: objective 30.0000000\n",
      "Presolve removed 2536 rows and 2537 columns\n",
      "Presolve time: 0.00s\n",
      "Presolved: 14 rows, 13 columns, 45 nonzeros\n",
      "Found heuristic solution: objective 7.0000000\n",
      "Variable types: 0 continuous, 13 integer (13 binary)\n",
      "\n",
      "Root relaxation: objective 6.000000e+00, 11 iterations, 0.00 seconds (0.00 work units)\n",
      "\n",
      "    Nodes    |    Current Node    |     Objective Bounds      |     Work\n",
      " Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time\n",
      "\n",
      "*    0     0               0       6.0000000    6.00000  0.00%     -    0s\n",
      "\n",
      "Explored 1 nodes (11 simplex iterations) in 0.02 seconds (0.00 work units)\n",
      "Thread count was 16 (of 16 available processors)\n",
      "\n",
      "Solution count 4: 6 7 30 50 \n",
      "\n",
      "Optimal solution found (tolerance 1.00e-04)\n",
      "Best objective 6.000000000000e+00, best bound 6.000000000000e+00, gap 0.0000%\n"
     ]
    }
   ],
   "source": [
    "# Function to calculate Euclidean distance between two points\n",
    "def euclidean_distance(pos1, pos2):\n",
    "    x1, y1 = pos1\n",
    "    x2, y2 = pos2\n",
    "    return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5\n",
    "\n",
    "# Create a Gurobi model\n",
    "model = gb.Model()\n",
    "\n",
    "# Create decision variables x\n",
    "x = {}\n",
    "for i in G.nodes():\n",
    "    for j in G.nodes():\n",
    "        x[i,j] = model.addVar(vtype=gb.GRB.BINARY, name=f\"x_{i,j}\")\n",
    "\n",
    "# Create decision variables y\n",
    "y = {}\n",
    "for node in G.nodes():\n",
    "    y[node] = model.addVar(vtype=gb.GRB.BINARY, name=f\"y_{node}\")\n",
    "\n",
    "# Set objective function\n",
    "model.setObjective(gb.quicksum(y[node] for node in G.nodes()), gb.GRB.MINIMIZE)\n",
    "\n",
    "# Add coverage constraints\n",
    "for i in G.nodes():\n",
    "    for j in G.nodes():\n",
    "        model.addConstr(x[i,j] <= y[j], f\"y_{i}_{j}\")\n",
    "for i in range(num_demand_points):\n",
    "    model.addConstr(gb.quicksum(x[i,j] for j in range(num_demand_points) if euclidean_distance(demand_points[i], demand_points[j]) <= coverage_radius) >= 1, f\"cover_{i}\")\n",
    "\n",
    "\n",
    "model.write('scp.lp')\n",
    "\n",
    "# Optimize the model\n",
    "model.optimize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 402,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "{0: <gurobi.Var y_0 (value 0.0)>, 1: <gurobi.Var y_1 (value -0.0)>, 2: <gurobi.Var y_2 (value 0.0)>, 3: <gurobi.Var y_3 (value 0.0)>, 4: <gurobi.Var y_4 (value 0.0)>, 5: <gurobi.Var y_5 (value 1.0)>, 6: <gurobi.Var y_6 (value 0.0)>, 7: <gurobi.Var y_7 (value 0.0)>, 8: <gurobi.Var y_8 (value 0.0)>, 9: <gurobi.Var y_9 (value 0.0)>, 10: <gurobi.Var y_10 (value 0.0)>, 11: <gurobi.Var y_11 (value 0.0)>, 12: <gurobi.Var y_12 (value 0.0)>, 13: <gurobi.Var y_13 (value 0.0)>, 14: <gurobi.Var y_14 (value 0.0)>, 15: <gurobi.Var y_15 (value 0.0)>, 16: <gurobi.Var y_16 (value 0.0)>, 17: <gurobi.Var y_17 (value 0.0)>, 18: <gurobi.Var y_18 (value 1.0)>, 19: <gurobi.Var y_19 (value 1.0)>, 20: <gurobi.Var y_20 (value 0.0)>, 21: <gurobi.Var y_21 (value 1.0)>, 22: <gurobi.Var y_22 (value 0.0)>, 23: <gurobi.Var y_23 (value 0.0)>, 24: <gurobi.Var y_24 (value 0.0)>, 25: <gurobi.Var y_25 (value 0.0)>, 26: <gurobi.Var y_26 (value 0.0)>, 27: <gurobi.Var y_27 (value 0.0)>, 28: <gurobi.Var y_28 (value -0.0)>, 29: <gurobi.Var y_29 (value 1.0)>, 30: <gurobi.Var y_30 (value 0.0)>, 31: <gurobi.Var y_31 (value -0.0)>, 32: <gurobi.Var y_32 (value 0.0)>, 33: <gurobi.Var y_33 (value 0.0)>, 34: <gurobi.Var y_34 (value 0.0)>, 35: <gurobi.Var y_35 (value 0.0)>, 36: <gurobi.Var y_36 (value 0.0)>, 37: <gurobi.Var y_37 (value 0.0)>, 38: <gurobi.Var y_38 (value 0.0)>, 39: <gurobi.Var y_39 (value 0.0)>, 40: <gurobi.Var y_40 (value 0.0)>, 41: <gurobi.Var y_41 (value 0.0)>, 42: <gurobi.Var y_42 (value 0.0)>, 43: <gurobi.Var y_43 (value 0.0)>, 44: <gurobi.Var y_44 (value 1.0)>, 45: <gurobi.Var y_45 (value -0.0)>, 46: <gurobi.Var y_46 (value 0.0)>, 47: <gurobi.Var y_47 (value 0.0)>, 48: <gurobi.Var y_48 (value 0.0)>, 49: <gurobi.Var y_49 (value 0.0)>}\n"
     ]
    }
   ],
   "source": [
    "print(x)\n",
    "print(y)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 403,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization successful.\n",
      "Radius: 30 units \n",
      "UAVs: 6 \n",
      "Demand points: 50\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "solution = []\n",
    "if model.status == gb.GRB.OPTIMAL:\n",
    "    print(\"Optimization successful.\")\n",
    "    print(\"Radius: {} units \\nUAVs: {} \\nDemand points: {}\".format(coverage_radius, int(model.objVal), num_demand_points))\n",
    "    for node in G.nodes():\n",
    "        if y[node].x > 0.1:\n",
    "            solution.append(node)\n",
    "    # Create a new graph for visualization\n",
    "    graph_visualization = nx.Graph()\n",
    "\n",
    "    # Add nodes for demand points\n",
    "    for node, demand_point in enumerate(demand_points):\n",
    "        graph_visualization.add_node(node, pos=demand_point)\n",
    "\n",
    "    # Add edges between demand points covered by the solution\n",
    "    for node in solution:\n",
    "        # graph_visualization.add_edges_from([(node, n) for n in G.neighbors(node) if n in solution])\n",
    "        graph_visualization.add_edges_from([(node, n) for n in G.nodes() if x[node, n].x > 0.5])\n",
    "\n",
    "    # Draw the graph\n",
    "    pos = nx.get_node_attributes(graph_visualization, 'pos')\n",
    "    fig, ax = plt.subplots(figsize=figsize)  # Adjust the figure size as desired\n",
    "    nx.draw(graph_visualization, pos, node_color='lightblue', ax=ax, node_size=node_size)\n",
    "\n",
    "\n",
    "    # Highlight the demand points covered by the solution\n",
    "    nx.draw_networkx_labels(graph_visualization, pos, font_size=label_font_size)\n",
    "    nx.draw_networkx_nodes(graph_visualization, pos, nodelist=solution, node_color='r', alpha=0.5, ax=ax, node_size=node_size)\n",
    "\n",
    "    # Draw circles for coverage radius for covered demand points only\n",
    "    for node in solution:\n",
    "        if node in graph_visualization.nodes():\n",
    "            x, y = pos[node]\n",
    "            circle = plt.Circle((x, y), coverage_radius, alpha=0.1, color='r')\n",
    "            ax.add_artist(circle)\n",
    "\n",
    "    plt.title(\"With a radius of {} units, {} UAVs are required to cover all {} demand points.\".format(coverage_radius, int(model.objVal), num_demand_points))\n",
    "    plt.show()\n",
    "else:\n",
    "    print(\"No feasible solution found. Optimization status:\", model.status)"
   ]
  }
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