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@mirrornerror
Created June 18, 2019 00:54
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TSP, LP, Lazy Constraints
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# TSP LP with Lazy constraints by Pulp\n\nPulp: https://github.com/coin-or/pulp \nreference: https://techblog.aimms.com/2015/05/26/solving-a-tsp-using-lazy-constraints/"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:38.805685Z",
"end_time": "2019-06-18T00:51:38.810970Z"
},
"trusted": true
},
"cell_type": "code",
"source": "%matplotlib inline\nimport numpy as np\nimport matplotlib.pyplot as plt\nfrom pulp import *\nseed = 42\nnp.random.seed(seed=seed)",
"execution_count": 42,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:38.813230Z",
"end_time": "2019-06-18T00:51:38.822145Z"
},
"code_folding": [],
"run_control": {
"marked": false
},
"trusted": true
},
"cell_type": "code",
"source": "# Generate parameters\ndef gen_param(num):\n path = list(range(num))\n X = np.random.random(num)\n Y = np.random.random(num)\n XY = X + Y * 1j\n return num, path, X, Y, XY",
"execution_count": 43,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:38.825226Z",
"end_time": "2019-06-18T00:51:38.839261Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Plot path, edges, subtours\ndef plot_path(path, edges=False, size=6):\n plt.figure(figsize=(size, size))\n cmap = plt.get_cmap(\"tab10\")\n plt.axis([0,1,0,1], 'equal')\n plt.plot(X[path], Y[path], alpha=0.0)\n plt.scatter(X[0], Y[0], s=80, c='r', marker='o')\n if path:\n for i in range(len(path)-1):\n plt.arrow(X[path[i]], Y[path[i]], \n X[path[i+1]]-X[path[i]], Y[path[i+1]]-Y[path[i]], \n head_width=0.02, head_length=0.02, length_includes_head=True, \n fc=cmap(0), ec=cmap(0))\n if edges:\n for e in edges:\n plt.plot([X[e[0]], X[e[1]]], [Y[e[0]], Y[e[1]]])\n \n for i in range(num):\n plt.text(X[i], Y[i]+0.01, s=i, fontsize=10, color='gray')",
"execution_count": 44,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:38.840887Z",
"end_time": "2019-06-18T00:51:39.373852Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Generate parameters and Plot initial path\nnum, path, X, Y, XY = gen_param(100) # the number of nodes\nplot_path(path + [0])\nprint('Initial Plot:', path)",
"execution_count": 45,
"outputs": [
{
"output_type": "stream",
"text": "Initial Plot: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99]\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## LP by Pulp"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:39.375586Z",
"end_time": "2019-06-18T00:51:39.640703Z"
},
"trusted": true
},
"cell_type": "code",
"source": "prob = LpProblem(name='TSP_LP', sense=LpMinimize)\n\n# node i to node j: distance between i and j\ndist = dict({(i, j): (abs(XY[i] - XY[j])) for i in range(num) for j in range(num) if i != j})\n\n# 1: the tour includes the edge from i to j, 0: if not included\nx = LpVariable.dicts('x', dist, 0, 1, LpBinary)\n\n# the objective to be minimized\nprob += lpSum([dist[(i,j)] * x[(i,j)] for i, j in dist])\n\n# Base constraints: a route from i to j should be only one, same to j to i\nfor i in path:\n prob += lpSum([x[(i, j)] for j in path if i != j]) == 1\n \nfor j in path:\n prob += lpSum([x[(i, j)] for i in path if i != j]) == 1",
"execution_count": 46,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:39.642127Z",
"end_time": "2019-06-18T00:51:39.782278Z"
},
"trusted": true
},
"cell_type": "code",
"source": "#Optional constraints (if needed):\n#Diagonal asymmetry constraints: to avoid such as (0, 1) and (1, 0) on the same tour\nfor i in path:\n for j in path:\n if i < j:\n prob += lpSum([x[(i, j)] + x[(j, i)]]) <= 1",
"execution_count": 47,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:39.783742Z",
"end_time": "2019-06-18T00:51:41.462337Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Minimize the problem\n%time prob.solve()\nprint(LpStatus[prob.status]) # 7.98s",
"execution_count": 48,
"outputs": [
{
"output_type": "stream",
"text": "CPU times: user 445 ms, sys: 8.39 ms, total: 454 ms\nWall time: 1.67 s\nOptimal\n",
"name": "stdout"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:41.465140Z",
"end_time": "2019-06-18T00:51:42.035198Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Edges in the progress, there might be some subtours\nE = [(i, j) for (i, j) in x if x[(i, j)].varValue == 1]\nplot_path(False, E)",
"execution_count": 49,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Lazy constraints:"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:42.037046Z",
"end_time": "2019-06-18T00:51:53.833337Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "ED = []\nwhile True:\n # Find edges as x(i, j) = 1\n E = [(i, j) for (i, j) in x if x[(i, j)].varValue == 1]\n ED.append(E)\n # Connect the edges to form subtours\n ST = []\n for n in path:\n if n not in sum(ST, []):\n subtour = [n]\n for _ in path:\n for (i, j) in E:\n if subtour[-1] == i and j not in subtour:\n subtour.append(j)\n elif j == subtour[-1] and i not in subtour:\n subtour.append(i)\n subtour.append(subtour[0])\n ST.append(subtour)\n\n print('Subtours:', len(ST))\n print(ST)\n if len(ST) == 1:\n print('\\nOPT TOUR:', ST[0])\n print('SOLVED')\n break\n \n # Lazy constraints: for the minor subtours(the number of nodes in the subtour is less than half of the whole nodes)\n # Either of (i, j) in the subtour has to connect to a node in the other subtour,\n # hence 'i' stays in the subtour and 'j' has to be changed to one in the other subtour, and vice versa for (j, i)\n for st in ST:\n if len(st) < num / 2: # case of being less than half of the whole node\n nots = [j for j in path if j not in st]\n prob += lpSum(x[(i, j)] for i in st[:-1] for j in nots if (i, j) in x) >= 1\n prob += lpSum(x[(j, i)] for i in st[:-1] for j in nots if (i, j) in x) >= 1\n prob.solve()\n\nT = ST[0]\n# 150 nodes: 3m37s\n# 200 nodes: 1m4.53s, 4m14s, 1m37.3s",
"execution_count": 50,
"outputs": [
{
"output_type": "stream",
"text": "Subtours: 19\n[[0, 23, 64, 0], [1, 69, 88, 53, 25, 35, 94, 2, 38, 30, 95, 60, 47, 3, 87, 93, 96, 20, 65, 27, 54, 91, 92, 86, 7, 62, 1], [4, 15, 21, 4], [5, 31, 49, 5], [6, 77, 66, 58, 10, 6], [8, 17, 24, 89, 41, 8], [9, 81, 48, 28, 45, 9], [11, 52, 55, 11], [12, 50, 34, 12], [13, 16, 59, 85, 46, 61, 14, 56, 37, 99, 57, 26, 13], [18, 97, 82, 78, 39, 18], [19, 36, 63, 19], [22, 44, 84, 22], [29, 42, 72, 29], [32, 79, 90, 71, 68, 32], [33, 43, 80, 33], [40, 83, 98, 40], [51, 73, 67, 75, 51], [70, 74, 76, 70]]\nSubtours: 9\n[[0, 71, 64, 23, 0], [1, 7, 50, 34, 12, 92, 86, 91, 54, 39, 78, 82, 97, 18, 27, 65, 20, 96, 93, 87, 3, 47, 30, 95, 41, 89, 24, 17, 8, 81, 48, 28, 45, 9, 75, 51, 73, 67, 52, 11, 55, 43, 33, 80, 35, 94, 2, 38, 25, 53, 88, 69, 1], [4, 21, 40, 98, 83, 99, 37, 56, 14, 61, 85, 59, 16, 57, 13, 26, 15, 4], [5, 31, 58, 10, 66, 49, 5], [6, 77, 29, 72, 42, 6], [19, 46, 63, 36, 19], [22, 44, 84, 60, 22], [32, 68, 90, 79, 32], [62, 70, 76, 74, 62]]\nSubtours: 5\n[[0, 23, 84, 44, 22, 60, 95, 41, 89, 24, 17, 8, 81, 48, 28, 45, 9, 75, 51, 73, 67, 52, 11, 55, 43, 33, 80, 35, 94, 2, 38, 25, 53, 88, 69, 1, 62, 70, 76, 74, 87, 93, 96, 20, 65, 27, 54, 39, 18, 97, 78, 82, 16, 59, 85, 46, 63, 36, 19, 61, 14, 37, 56, 72, 29, 42, 6, 77, 10, 58, 32, 79, 90, 68, 71, 64, 0], [3, 47, 30, 3], [4, 21, 40, 98, 83, 99, 57, 13, 26, 15, 4], [5, 31, 49, 66, 5], [7, 86, 91, 92, 12, 34, 50, 7]]\nSubtours: 3\n[[0, 64, 71, 68, 90, 79, 32, 58, 10, 77, 66, 5, 31, 49, 44, 84, 22, 60, 95, 30, 47, 3, 87, 93, 96, 20, 65, 27, 18, 97, 82, 78, 39, 54, 91, 86, 92, 12, 34, 50, 7, 76, 70, 74, 62, 1, 69, 88, 53, 25, 38, 2, 94, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 41, 89, 24, 23, 0], [4, 15, 26, 13, 57, 16, 59, 85, 46, 63, 36, 19, 61, 14, 56, 37, 99, 83, 98, 40, 21, 4], [6, 42, 29, 72, 6]]\nSubtours: 6\n[[0, 64, 71, 68, 90, 32, 79, 31, 5, 49, 66, 58, 10, 77, 6, 42, 72, 29, 14, 61, 19, 36, 63, 46, 85, 59, 16, 82, 78, 97, 18, 39, 54, 27, 65, 20, 96, 93, 87, 3, 47, 30, 38, 2, 94, 25, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 24, 89, 41, 95, 60, 22, 44, 84, 23, 0], [1, 69, 53, 88, 1], [4, 40, 98, 83, 21, 15, 4], [7, 62, 70, 76, 74, 86, 91, 92, 12, 34, 50, 7], [13, 57, 26, 13], [37, 99, 56, 37]]\nSubtours: 1\n[[0, 64, 71, 68, 90, 32, 79, 31, 5, 49, 66, 58, 10, 77, 6, 42, 72, 29, 14, 56, 37, 99, 83, 98, 40, 21, 4, 15, 26, 13, 57, 16, 59, 85, 61, 46, 19, 36, 63, 47, 30, 3, 87, 93, 96, 20, 65, 27, 18, 97, 82, 78, 39, 54, 91, 86, 92, 12, 34, 50, 7, 76, 70, 74, 62, 1, 69, 88, 53, 25, 38, 2, 94, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 24, 89, 41, 95, 60, 22, 44, 84, 23, 0]]\n\nOPT TOUR: [0, 64, 71, 68, 90, 32, 79, 31, 5, 49, 66, 58, 10, 77, 6, 42, 72, 29, 14, 56, 37, 99, 83, 98, 40, 21, 4, 15, 26, 13, 57, 16, 59, 85, 61, 46, 19, 36, 63, 47, 30, 3, 87, 93, 96, 20, 65, 27, 18, 97, 82, 78, 39, 54, 91, 86, 92, 12, 34, 50, 7, 76, 70, 74, 62, 1, 69, 88, 53, 25, 38, 2, 94, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 24, 89, 41, 95, 60, 22, 44, 84, 23, 0]\nSOLVED\n",
"name": "stdout"
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:53.836175Z",
"end_time": "2019-06-18T00:51:54.418322Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# Optimal Tour outputs\ntour_dist = sum([dist[(T[i - 1], T[i])] for i in range(1, len(T))])\nprint('Optimal Tour :', T)\nprint('Tour Distance:', tour_dist)\nplot_path(T)",
"execution_count": 51,
"outputs": [
{
"output_type": "stream",
"text": "Optimal Tour : [0, 64, 71, 68, 90, 32, 79, 31, 5, 49, 66, 58, 10, 77, 6, 42, 72, 29, 14, 56, 37, 99, 83, 98, 40, 21, 4, 15, 26, 13, 57, 16, 59, 85, 61, 46, 19, 36, 63, 47, 30, 3, 87, 93, 96, 20, 65, 27, 18, 97, 82, 78, 39, 54, 91, 86, 92, 12, 34, 50, 7, 76, 70, 74, 62, 1, 69, 88, 53, 25, 38, 2, 94, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 24, 89, 41, 95, 60, 22, 44, 84, 23, 0]\nTour Distance: 7.936534839976933\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Animation: Lazy subtour elimination process"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:54.420346Z",
"end_time": "2019-06-18T00:51:55.692609Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import matplotlib.animation as animation\nfrom IPython.display import HTML\n\nfig = plt.figure(figsize=(6,6))\ncmap = plt.get_cmap(\"tab10\")\nplt.axis([0,1,0,1], 'equal')\n\nims = []\nfor ed in ED:\n P0 = plt.plot(X[path], Y[path], alpha=0.0)\n P1 = plt.scatter(X[0], Y[0], s=80, color='r', marker='o')\n P2 = plt.scatter(X[1:], Y[1:], s=40, color=cmap(0), marker='o')\n ii = [e[0] for e in ed]\n jj = [e[1] for e in ed]\n P3 = plt.plot([X[ii], X[jj]], [Y[ii], Y[jj]], color=cmap(0))\n P4 = [plt.text(X[i], Y[i]+0.02, s=i, fontsize=10, color='gray') for i in range(num)]\n ims.append(P0 + [P1] + [P2] + P3 + P4)\n \nani = animation.ArtistAnimation(fig, ims, interval=800)\n#ani.save(\"lp_pulp_anim_\" + str(num) + \".gif\", writer = \"imagemagick\")\nplt.close()\nprint('Optimal Tour :', T)\nHTML(ani.to_jshtml())\n\n# f = open(\"lazy_const.html\", \"w\") # save the animation as html to embed on a webpage\n# f.write(ani.to_jshtml())\n# f.close() ",
"execution_count": 52,
"outputs": [
{
"output_type": "stream",
"text": "Optimal Tour : [0, 64, 71, 68, 90, 32, 79, 31, 5, 49, 66, 58, 10, 77, 6, 42, 72, 29, 14, 56, 37, 99, 83, 98, 40, 21, 4, 15, 26, 13, 57, 16, 59, 85, 61, 46, 19, 36, 63, 47, 30, 3, 87, 93, 96, 20, 65, 27, 18, 97, 82, 78, 39, 54, 91, 86, 92, 12, 34, 50, 7, 76, 70, 74, 62, 1, 69, 88, 53, 25, 38, 2, 94, 35, 80, 33, 43, 55, 11, 52, 67, 73, 51, 75, 9, 45, 28, 48, 81, 8, 17, 24, 89, 41, 95, 60, 22, 44, 84, 23, 0]\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 52,
"data": {
"text/plain": "<IPython.core.display.HTML object>",
"text/html": "\n<link rel=\"stylesheet\"\nhref=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\ncss/font-awesome.min.css\">\n<script language=\"javascript\">\n function isInternetExplorer() {\n ua = navigator.userAgent;\n /* MSIE used to detect old browsers and Trident used to newer ones*/\n return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n }\n\n /* Define the Animation class */\n function Animation(frames, img_id, slider_id, interval, loop_select_id){\n this.img_id = img_id;\n this.slider_id = slider_id;\n this.loop_select_id = loop_select_id;\n this.interval = interval;\n this.current_frame = 0;\n this.direction = 0;\n this.timer = null;\n this.frames = new Array(frames.length);\n\n for (var i=0; i<frames.length; i++)\n {\n this.frames[i] = new Image();\n this.frames[i].src = frames[i];\n }\n var slider = document.getElementById(this.slider_id);\n slider.max = this.frames.length - 1;\n if (isInternetExplorer()) {\n // switch from oninput to onchange because IE <= 11 does not conform\n // with W3C specification. It ignores oninput and onchange behaves\n // like oninput. In contrast, Mircosoft Edge behaves correctly.\n slider.setAttribute('onchange', slider.getAttribute('oninput'));\n slider.setAttribute('oninput', null);\n }\n this.set_frame(this.current_frame);\n }\n\n Animation.prototype.get_loop_state = function(){\n var button_group = document[this.loop_select_id].state;\n for (var i = 0; i < button_group.length; i++) {\n var button = button_group[i];\n if (button.checked) {\n return button.value;\n }\n }\n return undefined;\n }\n\n Animation.prototype.set_frame = function(frame){\n this.current_frame = frame;\n document.getElementById(this.img_id).src =\n this.frames[this.current_frame].src;\n document.getElementById(this.slider_id).value = this.current_frame;\n }\n\n Animation.prototype.next_frame = function()\n {\n this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n }\n\n Animation.prototype.previous_frame = function()\n {\n this.set_frame(Math.max(0, this.current_frame - 1));\n }\n\n Animation.prototype.first_frame = function()\n {\n this.set_frame(0);\n }\n\n Animation.prototype.last_frame = function()\n {\n this.set_frame(this.frames.length - 1);\n }\n\n Animation.prototype.slower = function()\n {\n this.interval /= 0.7;\n if(this.direction > 0){this.play_animation();}\n else if(this.direction < 0){this.reverse_animation();}\n }\n\n Animation.prototype.faster = function()\n {\n this.interval *= 0.7;\n if(this.direction > 0){this.play_animation();}\n else if(this.direction < 0){this.reverse_animation();}\n }\n\n Animation.prototype.anim_step_forward = function()\n {\n this.current_frame += 1;\n if(this.current_frame < this.frames.length){\n this.set_frame(this.current_frame);\n }else{\n var loop_state = this.get_loop_state();\n if(loop_state == \"loop\"){\n this.first_frame();\n }else if(loop_state == \"reflect\"){\n this.last_frame();\n this.reverse_animation();\n }else{\n this.pause_animation();\n this.last_frame();\n }\n }\n }\n\n Animation.prototype.anim_step_reverse = function()\n {\n this.current_frame -= 1;\n if(this.current_frame >= 0){\n this.set_frame(this.current_frame);\n }else{\n var loop_state = this.get_loop_state();\n if(loop_state == \"loop\"){\n this.last_frame();\n }else if(loop_state == \"reflect\"){\n this.first_frame();\n this.play_animation();\n }else{\n this.pause_animation();\n this.first_frame();\n }\n }\n }\n\n Animation.prototype.pause_animation = function()\n {\n this.direction = 0;\n if (this.timer){\n clearInterval(this.timer);\n this.timer = null;\n }\n }\n\n Animation.prototype.play_animation = function()\n {\n this.pause_animation();\n this.direction = 1;\n var t = this;\n if (!this.timer) this.timer = setInterval(function() {\n t.anim_step_forward();\n }, this.interval);\n }\n\n Animation.prototype.reverse_animation = function()\n {\n this.pause_animation();\n this.direction = -1;\n var t = this;\n if (!this.timer) this.timer = setInterval(function() {\n t.anim_step_reverse();\n }, this.interval);\n }\n</script>\n\n<style>\n.animation {\n display: inline-block;\n text-align: center;\n}\ninput[type=range].anim-slider {\n width: 374px;\n margin-left: auto;\n margin-right: auto;\n}\n.anim-buttons {\n margin: 8px 0px;\n}\n.anim-buttons button {\n padding: 0;\n width: 36px;\n}\n.anim-state label {\n margin-right: 8px;\n}\n.anim-state input {\n margin: 0;\n vertical-align: middle;\n}\n</style>\n\n<div class=\"animation\">\n <img id=\"_anim_img7b87e62d8daa45b0baba2ab0a62fc78a\">\n <div class=\"anim-controls\">\n <input id=\"_anim_slider7b87e62d8daa45b0baba2ab0a62fc78a\" type=\"range\" class=\"anim-slider\"\n name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n oninput=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.set_frame(parseInt(this.value));\"></input>\n <div class=\"anim-buttons\">\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.slower()\"><i class=\"fa fa-minus\"></i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.first_frame()\"><i class=\"fa fa-fast-backward\">\n </i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.previous_frame()\">\n <i class=\"fa fa-step-backward\"></i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.reverse_animation()\">\n <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.pause_animation()\"><i class=\"fa fa-pause\">\n </i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.play_animation()\"><i class=\"fa fa-play\"></i>\n </button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.next_frame()\"><i class=\"fa fa-step-forward\">\n </i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.last_frame()\"><i class=\"fa fa-fast-forward\">\n </i></button>\n <button onclick=\"anim7b87e62d8daa45b0baba2ab0a62fc78a.faster()\"><i class=\"fa fa-plus\"></i></button>\n </div>\n <form action=\"#n\" name=\"_anim_loop_select7b87e62d8daa45b0baba2ab0a62fc78a\" class=\"anim-state\">\n <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_7b87e62d8daa45b0baba2ab0a62fc78a\"\n >\n <label for=\"_anim_radio1_7b87e62d8daa45b0baba2ab0a62fc78a\">Once</label>\n <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_7b87e62d8daa45b0baba2ab0a62fc78a\"\n checked>\n <label for=\"_anim_radio2_7b87e62d8daa45b0baba2ab0a62fc78a\">Loop</label>\n <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_7b87e62d8daa45b0baba2ab0a62fc78a\"\n >\n <label for=\"_anim_radio3_7b87e62d8daa45b0baba2ab0a62fc78a\">Reflect</label>\n </form>\n </div>\n</div>\n\n\n<script language=\"javascript\">\n /* Instantiate the Animation class. */\n /* The IDs given should match those used in the template above. */\n (function() {\n var img_id = \"_anim_img7b87e62d8daa45b0baba2ab0a62fc78a\";\n var slider_id = \"_anim_slider7b87e62d8daa45b0baba2ab0a62fc78a\";\n var loop_select_id = \"_anim_loop_select7b87e62d8daa45b0baba2ab0a62fc78a\";\n var frames = new Array(6);\n \n frames[0] = 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e4U7iSuwbq6lvlZffPEFV65coaqqilWrVjF58mTS09MpLCxEkiQ8PDyYM2dO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\\\n+V1bq/4+NrQ3DnIZ36fmNwlgkiQRHx+PJElER0cTHR3d6U0/bV3D7t2A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lWi0Eh09zza15WYlg4dubLldul5FyjUZM6fNYNFdvRt8vjXZVR1NV2oPX1Ba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\\\n/m5JCXCd83+oG9CUrtuGDRuYMGECQUFBnDhxgn379nHPPfeY2VpBR2BM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nW3N1lABqBQCq58bjkoh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\\\nA9m5c2ejAtwjR46Y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IySL8tTYQBb/7xjfnrnCA4N9zB1Op2vY9iQ1NRVHR0d69+7dpu/9eXQYnx3O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\\\nvddYvecqn5zM5I2Zg5k7zM9qaunKOTXdCVvfwdTB3hxNK2Zh7Gm2rIim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/* set a timeout to make sure all the above elements are created before\n the object is initialized. */\n setTimeout(function() {\n anim7b87e62d8daa45b0baba2ab0a62fc78a = new Animation(frames, img_id, slider_id, 800.0,\n loop_select_id);\n }, 0);\n })()\n</script>\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Comparison with TSP Solver Pyconcorde \npyconcorde: https://github.com/jvkersch/pyconcorde"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:55.694513Z",
"end_time": "2019-06-18T00:51:56.319140Z"
},
"trusted": true
},
"cell_type": "code",
"source": "from concorde.tsp import TSPSolver\n\n#num, path, X, Y, XY = gen_param(100)\nsolver = TSPSolver.from_data(X[path]*10**6, Y[path]*10**6, norm='EUC_2D')\nsolution = solver.solve()\n#print(solution.found_tour)\ntsp_tour = list(solution.tour) + [0]\nplot_path(tsp_tour)\nprint('TSP Tour:', tsp_tour)\ntsp_dist = sum([dist[(tsp_tour[i - 1], tsp_tour[i])] for i in range(1, len(tsp_tour))])\nprint('Total Distance:', tsp_dist)",
"execution_count": 53,
"outputs": [
{
"output_type": "stream",
"text": "TSP Tour: [0, 23, 84, 44, 22, 60, 95, 41, 89, 24, 17, 8, 81, 48, 28, 45, 9, 75, 51, 73, 67, 52, 11, 55, 43, 33, 80, 35, 94, 2, 38, 25, 53, 88, 69, 1, 62, 74, 70, 76, 7, 50, 34, 12, 92, 86, 91, 54, 39, 78, 82, 97, 18, 27, 65, 20, 96, 93, 87, 3, 30, 47, 63, 36, 19, 46, 61, 85, 59, 16, 57, 13, 26, 15, 4, 21, 40, 98, 83, 99, 37, 56, 14, 29, 72, 42, 6, 77, 10, 58, 66, 49, 5, 31, 79, 32, 90, 68, 71, 64, 0]\nTotal Distance: 7.936534839976931\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-06-18T00:51:56.321780Z",
"end_time": "2019-06-18T00:51:56.327061Z"
},
"trusted": true
},
"cell_type": "code",
"source": "# comparison score: Lazy subtour elimination constraints / Pyconcorde\nprint('Lazy SEC :', tour_dist)\nprint('Pyconcorde:', tsp_dist)\nprint('Score rate:', tour_dist / tsp_dist)",
"execution_count": 54,
"outputs": [
{
"output_type": "stream",
"text": "Lazy SEC : 7.936534839976933\nPyconcorde: 7.936534839976931\nScore rate: 1.0000000000000004\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/dbd9dadd5395a0391249080763932696"
},
"gist": {
"id": "dbd9dadd5395a0391249080763932696",
"data": {
"description": "TSP, LP, Lazy Constraints",
"public": true
}
},
"kernelspec": {
"name": "py36",
"display_name": "py36",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.7",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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