{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "wkWT8ccTvsbX" }, "source": [ "# Travelling Salesman Problem\n", "\n", "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/google/pyglove/blob/main/docs/notebooks/evolution/tsp.ipynb)\n", "\n", "In this tutorial, we will use PyGlove to find a solution to the [travelling salesman problem](https://en.wikipedia.org/wiki/Travelling_salesman_problem) (TSP). The TSP tries to answer: \"Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?\" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations research.\n", "\n", "*(Disclaimer: PyGlove is designed to be used with problems with evaluation time greater than sub-second, since the TSP can be evaluated in nano/micro-seconds, you may find slowdown in PyGlove's solution. Bear in mind that the overhead from PyGlove for each iteration is in sub-seconds)*" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "executionInfo": { "elapsed": 169, "status": "ok", "timestamp": 1656528396460, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "szxXKNPLJrK9" }, "outputs": [], "source": [ "!pip install pyglove" ] }, { "cell_type": "markdown", "metadata": { "id": "SaCKZjEpJfYC" }, "source": [ "## Defining City and Route\n", "\n", "First we define classes to represent a `City` with a 2D location on the map, and a `Route` that traversing the cities in order." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "executionInfo": { "elapsed": 55, "status": "ok", "timestamp": 1656528396655, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "YlPGVRLLvnvi" }, "outputs": [], "source": [ "import math\n", "\n", "class City:\n", " \"\"\"Represents a city with location (x, y) on the map.\"\"\"\n", "\n", " def __init__(self, x, y):\n", " self.x = x\n", " self.y = y\n", "\n", " def distance(self, other):\n", " return math.sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2)\n", "\n", "class Route:\n", " \"\"\"Represents a route that traverse the cities in their appearing order.\"\"\"\n", "\n", " def __init__(self, cities):\n", " self.cities = cities\n", "\n", " def length(self):\n", " l = 0\n", " for i in range(0, len(self.cities)):\n", " current = i\n", " next = (i + 1) % len(self.cities)\n", " l += self.cities[current].distance(self.cities[next])\n", " return l\n" ] }, { "cell_type": "markdown", "metadata": { "id": "AddfafuZ3NJG" }, "source": [ "Then we generate 25 cities with randomly chosen locations on the map, with x=[0, 99) and y=[0, 100). This can be easily done via `pg.random_sample`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "height": 266 }, "executionInfo": { "elapsed": 5007, "status": "ok", "timestamp": 1656528401793, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "wlbq7upO3GYv", "outputId": "f0962609-62f9-443e-d4a3-69ae94f2cfe1" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pyglove as pg\n", "\n", "# Symbolizing City and Route so that their objects\n", "# can be symbolically manipulated.\n", "City = pg.symbolize(City)\n", "Route = pg.symbolize(Route)\n", "\n", "# Generating 25 cities.\n", "cities = list(pg.random_sample(\n", " City(x=pg.oneof(range(100)), y=pg.oneof(range(100))), 25, seed=1))\n", "\n", "# Plot the cities.\n", "import matplotlib.pyplot as plt\n", "plt.plot([c.x for c in cities], [c.y for c in cities], 'o')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "z11FLOItJSR7" }, "source": [ "We also introduce a method to plot a route so it's easier for the reader to make sense of a route." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "height": 266 }, "executionInfo": { "elapsed": 264, "status": "ok", "timestamp": 1656528402279, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "hGLTEOLOCJIS", "outputId": "f6261029-b249-4db3-e978-b56db5808c62" }, "outputs": [ { "data": { "image/png": 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ZHjdLXmjysnZW8V3SgwRi/rtKqtV5wrnjSg5pSdwBds+EP3vrtdz4K7T7TCG0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\n6s9syS++Q2joEz00um/Ym/y8LUKXobeupB6bV0/hHwDdflLO4uBixZ/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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "def plot_route(route):\n", " data = np.array([[c.x, c.y] for c in route.cities + [route.cities[0]]])\n", " plt.plot([c.x for c in cities], [c.y for c in cities], 'o')\n", " plt.plot(data[:, 0], data[:, 1])\n", " plt.show()\n", "\n", "plot_route(Route(cities))" ] }, { "cell_type": "markdown", "metadata": { "id": "XLqNGjyiJRcN" }, "source": [ "## Solving TSP using PyGlove\n", "\n", "TSP can be tackled as a search problem, while the search space is all possible routes, the search algorithm tries to minimize the length computed from the route. Here we use `pg.sample` to express such a search process." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "executionInfo": { "elapsed": 55, "status": "ok", "timestamp": 1656528402516, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "VK0u5fXk56tl" }, "outputs": [], "source": [ "def tsp(algo, num_trials):\n", " history = []\n", " best_route, min_len = None, None\n", " # The route space is a Route object\n", " # with all possible permutations generated\n", " # from given cities.\n", " route_space = Route(pg.permutate(cities))\n", "\n", " # `pg.sample` is the way to sample an example\n", " # route from the route space. Each iteration\n", " # will emit a `feedback` object, which can be\n", " # used to pass the reward to the controller.\n", " for route, feedback in pg.sample(\n", " route_space,\n", " algo,\n", " num_examples=num_trials):\n", " l = route.length()\n", " history.append(l)\n", " if min_len is None or min_len > l:\n", " best_route, min_len = route, l\n", " # We negate the route length as the reward since\n", " # the algorithm is to maximize the reward value.\n", " feedback(-l)\n", "\n", " # Plot the search curve and the best route.\n", " plt.plot(list(range(num_trials)), history)\n", " plt.show()\n", " print(f'Route length: {min_len}')\n", " plot_route(best_route)" ] }, { "cell_type": "markdown", "metadata": { "id": "k_4xPnt-Mxgj" }, "source": [ "Let's start with a random search." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "height": 533 }, "executionInfo": { "elapsed": 11147, "status": "ok", "timestamp": 1656528413795, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "mQRDc55jM3hR", "outputId": "6445815d-103a-4983-9c50-84448d8a93fa" }, "outputs": [ { "data": { "image/png": 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EuDwX51z3X6tExFt5xFwVL5WqTpVsmLzDGMPppZIzg9fZR0NDpW5FJheIGNeY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\n1zM8mr5lOS0YAL5qEsHcy/mz3D2eQYL6U/DULW7TNRNnN8D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AWWCoUupGGofINi/3qJ1ExwxwN7AY9/XuBPal5lav9HA71cyp1bD/V9s+1uIk+6BfoqZu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\nfe5KqQ3A9WSb0zrn/sBvSqlYpdQZ4CQSK9PFEwN8ag27c02rGcMwqgJ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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Doing TSP using random search.\n", "tsp(pg.geno.Random(seed=1), 100)" ] }, { "cell_type": "markdown", "metadata": { "id": "0YZeOjVgNfYX" }, "source": [ "Next, let's use PyGlove's evolution framework to create different search algorithms to solve this problem." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "executionInfo": { "elapsed": 55, "status": "ok", "timestamp": 1656528413989, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "R3vpA8Rsxp61" }, "outputs": [], "source": [ "def evolution(op, population_size=50, tournament_size=20, seed=1):\n", " return pg.evolution.Evolution(\n", " (pg.evolution.selectors.Random(tournament_size, seed=seed)\n", " >> pg.evolution.selectors.Top(2) \n", " >> op),\n", " population_init=(pg.geno.Random(seed=seed), population_size),\n", " population_update=pg.evolution.selectors.Last(population_size))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "height": 531 }, "executionInfo": { "elapsed": 71203, "status": "ok", "timestamp": 1656528485335, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "1OlPdA5r9srd", "outputId": "88866377-f7e1-45ec-fa48-f2524cfb2ae1" }, "outputs": [ { "data": { "image/png": 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KdqO/azHY8mV9RBW7t18ohTMUWyoGMMaDDwasFvioD2QdgQdWQ2xt7xynvB78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\nPpWJ85KxZqbyW5WHnCuO75Affvc7Ta50MJJzQhQ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IZmHIPz/iRM0OnrtrcsFbHvxFQIrW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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Partially mapped crossover (PMX).\n", "tsp(evolution(pg.evolution.recombinators.PartiallyMapped(seed=1)), 500)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "height": 531 }, "executionInfo": { "elapsed": 39243, "status": "ok", "timestamp": 1656528524719, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "kNvqChBi_wSd", "outputId": "f9a75d4f-b749-4baa-f6cc-293672bc5bb9" }, "outputs": [ { "data": { "image/png": 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MG12L9zfudRZBuf9L0zCkpqzLricDuW2xBH763IpOn48n5DIMkytFKfoPXXkMtu9rc/6e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\nwe4dNRVRFnuTZYNlR5Tp0pSSAZWWoJd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8Skb0LZ3hl96u337ygPw9Ot4mJQwCGCPwgcre5VJ+9vQRuOZV6HxH8I/0yorD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\nxj+UOCfwFfTDF0VMAgx5C+6cJTVuvnC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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Swap mutation.\n", "tsp(evolution(pg.evolution.mutators.Swap(seed=1)), 500)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "height": 531 }, "executionInfo": { "elapsed": 65299, "status": "ok", "timestamp": 1656528590147, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "alLPBdbZ-Kx3", "outputId": "9117ff98-58c8-47c3-ffcd-d0a8389a7002" }, "outputs": [ { "data": { "image/png": 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ETZFevWqe+p+WNoUqZC5XNkFlci4a/HjAtuZOfPgXz8d+juPCkLJZxNLPhgPB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\nRBRY+HGW/rc+NDt4PH/aCJx08EikE7a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vhC4ZK+Gdi0xdoBu/8J7hHQiy0wPag0F88N6o3QDajIR1n8D5T5i68SHOpJHt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\n6rr8DZ+a5w3xwQtCKBMZY8I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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pipeline operators: PMX crossover + Swap mutation.\n", "tsp(evolution(\n", " (pg.evolution.recombinators.PartiallyMapped(seed=1)\n", " >> pg.evolution.mutators.Swap(seed=1))), 500)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "height": 531 }, "executionInfo": { "elapsed": 75433, "status": "ok", "timestamp": 1656528665768, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "rC1y1DHF-bXb", "outputId": "631832f2-9c70-4944-c38b-3680edac7ba3" }, "outputs": [ { "data": { "image/png": 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Wy0RP2ax2IHdz32CktffY9v2c+9XfsLnvUM39C5JQzS8rZfMWYDVwqoj0ishl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\nSYn0vcg5+zwQ6ReZkVuJp5/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/7ZaPuNsq5xPbEUasgIWvw4pPxKO7aSzU7JW741w+J0KdlYgnXdUONzQCCpeB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\n7gdlmki6bOIFx9jtJIzA+wPJl+V7Xjz4xAuwYxY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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Order crossover + Swap mutation with a small mutation probability\n", "tsp(evolution(pg.evolution.recombinators.PartiallyMapped(seed=1)\n", " >> pg.evolution.mutators.Swap(seed=1).with_prob(0.1)), 500)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "height": 531 }, "executionInfo": { "elapsed": 61207, "status": "ok", "timestamp": 1656528727117, "user": { "displayName": "", "userId": "" }, "user_tz": 420 }, "id": "5wuN5XXwNwvu", "outputId": "c4880466-ce7a-4c4a-a8fc-6233bd4643f3" }, "outputs": [ { "data": { "image/png": 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evDpuAEQHdlv9z63c5A3bfLTVS2N0lBm5XdqksUKESIqcFN96g+gHwwYVcFl0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\ndebl26ZJdCmiYPGVyPYUxVa1KhaT+JqQGS6mTlE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jWyTeunik9xu/8qN0Zel6rdEWZjwsdfBaSw19wn0yjL0oowELyqVSyQAN0+RF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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use a combination of different crossovers.\n", "tsp(evolution(\n", " pg.evolution.Choice([\n", " (pg.evolution.recombinators.PartiallyMapped(seed=1), 1/3),\n", " (pg.evolution.recombinators.Order(seed=1), 1/2),\n", " (pg.evolution.recombinators.Cycle(seed=1), 1.0),\n", " ], limit=1) >> pg.evolution.mutators.Swap(seed=1)), 500)" ] } ], "metadata": { "colab": { "collapsed_sections": [], "last_runtime": { "build_target": "//learning/deepmind/dm_python:dm_notebook3", "kind": "private" }, "name": "TSP with PyGlove", "provenance": [ { "file_id": "1yPSRroar1ThGLXducyZcEn_MwCqR9Q9d", "timestamp": 1656117344933 } ] }, "gpuClass": "standard", "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 }