|
|
|
|
|
<!DOCTYPE html>
|
|
|
|
|
|
<html>
|
|
|
<head>
|
|
|
<meta charset="utf-8" />
|
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
|
|
|
<title>4. Traveling Salesman — MIPLearn<br/><small>0.2.0</small></title>
|
|
|
|
|
|
<link href="../../_static/css/theme.css" rel="stylesheet" />
|
|
|
<link href="../../_static/css/index.c5995385ac14fb8791e8eb36b4908be2.css" rel="stylesheet" />
|
|
|
|
|
|
|
|
|
<link rel="stylesheet"
|
|
|
href="../../_static/vendor/fontawesome/5.13.0/css/all.min.css">
|
|
|
<link rel="preload" as="font" type="font/woff2" crossorigin
|
|
|
href="../../_static/vendor/fontawesome/5.13.0/webfonts/fa-solid-900.woff2">
|
|
|
<link rel="preload" as="font" type="font/woff2" crossorigin
|
|
|
href="../../_static/vendor/fontawesome/5.13.0/webfonts/fa-brands-400.woff2">
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<link rel="stylesheet" href="../../_static/pygments.css" type="text/css" />
|
|
|
<link rel="stylesheet" href="../../_static/sphinx-book-theme.acff12b8f9c144ce68a297486a2fa670.css" type="text/css" />
|
|
|
<link rel="stylesheet" type="text/css" href="../../_static/custom.css" />
|
|
|
|
|
|
<link rel="preload" as="script" href="../../_static/js/index.1c5a1a01449ed65a7b51.js">
|
|
|
|
|
|
<script id="documentation_options" data-url_root="../../" src="../../_static/documentation_options.js"></script>
|
|
|
<script src="../../_static/jquery.js"></script>
|
|
|
<script src="../../_static/underscore.js"></script>
|
|
|
<script src="../../_static/doctools.js"></script>
|
|
|
<script crossorigin="anonymous" integrity="sha256-Ae2Vz/4ePdIu6ZyI/5ZGsYnb+m0JlOmKPjt6XZ9JJkA=" src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.4/require.min.js"></script>
|
|
|
<script src="../../_static/sphinx-book-theme.12a9622fbb08dcb3a2a40b2c02b83a57.js"></script>
|
|
|
<script async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/latest.js?config=TeX-AMS-MML_HTMLorMML"></script>
|
|
|
<script type="text/x-mathjax-config">MathJax.Hub.Config({"tex2jax": {"inlineMath": [["\\(", "\\)"]], "displayMath": [["\\[", "\\]"]], "processRefs": false, "processEnvironments": false}})</script>
|
|
|
<link rel="index" title="Index" href="../../genindex/" />
|
|
|
<link rel="search" title="Search" href="../../search/" />
|
|
|
<link rel="prev" title="3. Multidimensional Knapsack" href="../knapsack/" />
|
|
|
<meta name="viewport" content="width=device-width, initial-scale=1" />
|
|
|
<meta name="docsearch:language" content="en" />
|
|
|
|
|
|
</head>
|
|
|
<body data-spy="scroll" data-target="#bd-toc-nav" data-offset="80">
|
|
|
|
|
|
<div class="container-fluid" id="banner"></div>
|
|
|
|
|
|
|
|
|
|
|
|
<div class="container-xl">
|
|
|
<div class="row">
|
|
|
|
|
|
<div class="col-12 col-md-3 bd-sidebar site-navigation show" id="site-navigation">
|
|
|
|
|
|
<div class="navbar-brand-box">
|
|
|
<a class="navbar-brand text-wrap" href="../../">
|
|
|
|
|
|
|
|
|
<h1 class="site-logo" id="site-title">MIPLearn<br/><small>0.2.0</small></h1>
|
|
|
|
|
|
</a>
|
|
|
</div><form class="bd-search d-flex align-items-center" action="../../search/" method="get">
|
|
|
<i class="icon fas fa-search"></i>
|
|
|
<input type="search" class="form-control" name="q" id="search-input" placeholder="Search the docs ..." aria-label="Search the docs ..." autocomplete="off" >
|
|
|
</form><nav class="bd-links" id="bd-docs-nav" aria-label="Main navigation">
|
|
|
<div class="bd-toc-item active">
|
|
|
<p class="caption">
|
|
|
<span class="caption-text">
|
|
|
Julia Tutorials
|
|
|
</span>
|
|
|
</p>
|
|
|
<ul class="nav bd-sidenav">
|
|
|
<li class="toctree-l1">
|
|
|
<a class="reference internal" href="../../jump-tutorials/getting-started/">
|
|
|
1. Getting started with MIPLearn
|
|
|
</a>
|
|
|
</li>
|
|
|
</ul>
|
|
|
<p class="caption">
|
|
|
<span class="caption-text">
|
|
|
Benchmarks
|
|
|
</span>
|
|
|
</p>
|
|
|
<ul class="current nav bd-sidenav">
|
|
|
<li class="toctree-l1">
|
|
|
<a class="reference internal" href="../preliminaries/">
|
|
|
1. Preliminaries
|
|
|
</a>
|
|
|
</li>
|
|
|
<li class="toctree-l1">
|
|
|
<a class="reference internal" href="../stab/">
|
|
|
2. Maximum Weight Stable Set
|
|
|
</a>
|
|
|
</li>
|
|
|
<li class="toctree-l1">
|
|
|
<a class="reference internal" href="../knapsack/">
|
|
|
3. Multidimensional Knapsack
|
|
|
</a>
|
|
|
</li>
|
|
|
<li class="toctree-l1 current active">
|
|
|
<a class="current reference internal" href="#">
|
|
|
4. Traveling Salesman
|
|
|
</a>
|
|
|
</li>
|
|
|
</ul>
|
|
|
|
|
|
</div>
|
|
|
</nav> <!-- To handle the deprecated key -->
|
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<main class="col py-md-3 pl-md-4 bd-content overflow-auto" role="main">
|
|
|
|
|
|
<div class="topbar container-xl fixed-top">
|
|
|
<div class="topbar-contents row">
|
|
|
<div class="col-12 col-md-3 bd-topbar-whitespace site-navigation show"></div>
|
|
|
<div class="col pl-md-4 topbar-main">
|
|
|
|
|
|
<button id="navbar-toggler" class="navbar-toggler ml-0" type="button" data-toggle="collapse"
|
|
|
data-toggle="tooltip" data-placement="bottom" data-target=".site-navigation" aria-controls="navbar-menu"
|
|
|
aria-expanded="true" aria-label="Toggle navigation" aria-controls="site-navigation"
|
|
|
title="Toggle navigation" data-toggle="tooltip" data-placement="left">
|
|
|
<i class="fas fa-bars"></i>
|
|
|
<i class="fas fa-arrow-left"></i>
|
|
|
<i class="fas fa-arrow-up"></i>
|
|
|
</button>
|
|
|
|
|
|
|
|
|
<div class="dropdown-buttons-trigger">
|
|
|
<button id="dropdown-buttons-trigger" class="btn btn-secondary topbarbtn" aria-label="Download this page"><i
|
|
|
class="fas fa-download"></i></button>
|
|
|
|
|
|
<div class="dropdown-buttons">
|
|
|
<!-- ipynb file if we had a myst markdown file -->
|
|
|
|
|
|
<!-- Download raw file -->
|
|
|
<a class="dropdown-buttons" href="../../_sources/benchmarks/tsp.ipynb.txt"><button type="button"
|
|
|
class="btn btn-secondary topbarbtn" title="Download source file" data-toggle="tooltip"
|
|
|
data-placement="left">.ipynb</button></a>
|
|
|
<!-- Download PDF via print -->
|
|
|
<button type="button" id="download-print" class="btn btn-secondary topbarbtn" title="Print to PDF"
|
|
|
onClick="window.print()" data-toggle="tooltip" data-placement="left">.pdf</button>
|
|
|
</div>
|
|
|
</div>
|
|
|
|
|
|
<!-- Source interaction buttons -->
|
|
|
|
|
|
<!-- Full screen (wrap in <a> to have style consistency -->
|
|
|
|
|
|
<a class="full-screen-button"><button type="button" class="btn btn-secondary topbarbtn" data-toggle="tooltip"
|
|
|
data-placement="bottom" onclick="toggleFullScreen()" aria-label="Fullscreen mode"
|
|
|
title="Fullscreen mode"><i
|
|
|
class="fas fa-expand"></i></button></a>
|
|
|
|
|
|
<!-- Launch buttons -->
|
|
|
|
|
|
</div>
|
|
|
|
|
|
<!-- Table of contents -->
|
|
|
<div class="d-none d-md-block col-md-2 bd-toc show">
|
|
|
|
|
|
<div class="tocsection onthispage pt-5 pb-3">
|
|
|
<i class="fas fa-list"></i> Contents
|
|
|
</div>
|
|
|
<nav id="bd-toc-nav">
|
|
|
<ul class="visible nav section-nav flex-column">
|
|
|
<li class="toc-h2 nav-item toc-entry">
|
|
|
<a class="reference internal nav-link" href="#Problem-definition">
|
|
|
4.1. Problem definition
|
|
|
</a>
|
|
|
</li>
|
|
|
<li class="toc-h2 nav-item toc-entry">
|
|
|
<a class="reference internal nav-link" href="#Random-problem-generator">
|
|
|
4.2. Random problem generator
|
|
|
</a>
|
|
|
</li>
|
|
|
<li class="toc-h2 nav-item toc-entry">
|
|
|
<a class="reference internal nav-link" href="#Challenge-A">
|
|
|
4.3. Challenge A
|
|
|
</a>
|
|
|
</li>
|
|
|
</ul>
|
|
|
|
|
|
</nav>
|
|
|
</div>
|
|
|
</div>
|
|
|
</div>
|
|
|
<div id="main-content" class="row">
|
|
|
<div class="col-12 col-md-9 pl-md-3 pr-md-0">
|
|
|
|
|
|
<div>
|
|
|
|
|
|
|
|
|
<style>
|
|
|
/* CSS for nbsphinx extension */
|
|
|
|
|
|
/* remove conflicting styling from Sphinx themes */
|
|
|
div.nbinput.container div.prompt *,
|
|
|
div.nboutput.container div.prompt *,
|
|
|
div.nbinput.container div.input_area pre,
|
|
|
div.nboutput.container div.output_area pre,
|
|
|
div.nbinput.container div.input_area .highlight,
|
|
|
div.nboutput.container div.output_area .highlight {
|
|
|
border: none;
|
|
|
padding: 0;
|
|
|
margin: 0;
|
|
|
box-shadow: none;
|
|
|
}
|
|
|
|
|
|
div.nbinput.container > div[class*=highlight],
|
|
|
div.nboutput.container > div[class*=highlight] {
|
|
|
margin: 0;
|
|
|
}
|
|
|
|
|
|
div.nbinput.container div.prompt *,
|
|
|
div.nboutput.container div.prompt * {
|
|
|
background: none;
|
|
|
}
|
|
|
|
|
|
div.nboutput.container div.output_area .highlight,
|
|
|
div.nboutput.container div.output_area pre {
|
|
|
background: unset;
|
|
|
}
|
|
|
|
|
|
div.nboutput.container div.output_area div.highlight {
|
|
|
color: unset; /* override Pygments text color */
|
|
|
}
|
|
|
|
|
|
/* avoid gaps between output lines */
|
|
|
div.nboutput.container div[class*=highlight] pre {
|
|
|
line-height: normal;
|
|
|
}
|
|
|
|
|
|
/* input/output containers */
|
|
|
div.nbinput.container,
|
|
|
div.nboutput.container {
|
|
|
display: -webkit-flex;
|
|
|
display: flex;
|
|
|
align-items: flex-start;
|
|
|
margin: 0;
|
|
|
width: 100%;
|
|
|
}
|
|
|
@media (max-width: 540px) {
|
|
|
div.nbinput.container,
|
|
|
div.nboutput.container {
|
|
|
flex-direction: column;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* input container */
|
|
|
div.nbinput.container {
|
|
|
padding-top: 5px;
|
|
|
}
|
|
|
|
|
|
/* last container */
|
|
|
div.nblast.container {
|
|
|
padding-bottom: 5px;
|
|
|
}
|
|
|
|
|
|
/* input prompt */
|
|
|
div.nbinput.container div.prompt pre {
|
|
|
color: #307FC1;
|
|
|
}
|
|
|
|
|
|
/* output prompt */
|
|
|
div.nboutput.container div.prompt pre {
|
|
|
color: #BF5B3D;
|
|
|
}
|
|
|
|
|
|
/* all prompts */
|
|
|
div.nbinput.container div.prompt,
|
|
|
div.nboutput.container div.prompt {
|
|
|
width: 4.5ex;
|
|
|
padding-top: 5px;
|
|
|
position: relative;
|
|
|
user-select: none;
|
|
|
}
|
|
|
|
|
|
div.nbinput.container div.prompt > div,
|
|
|
div.nboutput.container div.prompt > div {
|
|
|
position: absolute;
|
|
|
right: 0;
|
|
|
margin-right: 0.3ex;
|
|
|
}
|
|
|
|
|
|
@media (max-width: 540px) {
|
|
|
div.nbinput.container div.prompt,
|
|
|
div.nboutput.container div.prompt {
|
|
|
width: unset;
|
|
|
text-align: left;
|
|
|
padding: 0.4em;
|
|
|
}
|
|
|
div.nboutput.container div.prompt.empty {
|
|
|
padding: 0;
|
|
|
}
|
|
|
|
|
|
div.nbinput.container div.prompt > div,
|
|
|
div.nboutput.container div.prompt > div {
|
|
|
position: unset;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* disable scrollbars on prompts */
|
|
|
div.nbinput.container div.prompt pre,
|
|
|
div.nboutput.container div.prompt pre {
|
|
|
overflow: hidden;
|
|
|
}
|
|
|
|
|
|
/* input/output area */
|
|
|
div.nbinput.container div.input_area,
|
|
|
div.nboutput.container div.output_area {
|
|
|
-webkit-flex: 1;
|
|
|
flex: 1;
|
|
|
overflow: auto;
|
|
|
}
|
|
|
@media (max-width: 540px) {
|
|
|
div.nbinput.container div.input_area,
|
|
|
div.nboutput.container div.output_area {
|
|
|
width: 100%;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* input area */
|
|
|
div.nbinput.container div.input_area {
|
|
|
border: 1px solid #e0e0e0;
|
|
|
border-radius: 2px;
|
|
|
/*background: #f5f5f5;*/
|
|
|
}
|
|
|
|
|
|
/* override MathJax center alignment in output cells */
|
|
|
div.nboutput.container div[class*=MathJax] {
|
|
|
text-align: left !important;
|
|
|
}
|
|
|
|
|
|
/* override sphinx.ext.imgmath center alignment in output cells */
|
|
|
div.nboutput.container div.math p {
|
|
|
text-align: left;
|
|
|
}
|
|
|
|
|
|
/* standard error */
|
|
|
div.nboutput.container div.output_area.stderr {
|
|
|
background: #fdd;
|
|
|
}
|
|
|
|
|
|
/* ANSI colors */
|
|
|
.ansi-black-fg { color: #3E424D; }
|
|
|
.ansi-black-bg { background-color: #3E424D; }
|
|
|
.ansi-black-intense-fg { color: #282C36; }
|
|
|
.ansi-black-intense-bg { background-color: #282C36; }
|
|
|
.ansi-red-fg { color: #E75C58; }
|
|
|
.ansi-red-bg { background-color: #E75C58; }
|
|
|
.ansi-red-intense-fg { color: #B22B31; }
|
|
|
.ansi-red-intense-bg { background-color: #B22B31; }
|
|
|
.ansi-green-fg { color: #00A250; }
|
|
|
.ansi-green-bg { background-color: #00A250; }
|
|
|
.ansi-green-intense-fg { color: #007427; }
|
|
|
.ansi-green-intense-bg { background-color: #007427; }
|
|
|
.ansi-yellow-fg { color: #DDB62B; }
|
|
|
.ansi-yellow-bg { background-color: #DDB62B; }
|
|
|
.ansi-yellow-intense-fg { color: #B27D12; }
|
|
|
.ansi-yellow-intense-bg { background-color: #B27D12; }
|
|
|
.ansi-blue-fg { color: #208FFB; }
|
|
|
.ansi-blue-bg { background-color: #208FFB; }
|
|
|
.ansi-blue-intense-fg { color: #0065CA; }
|
|
|
.ansi-blue-intense-bg { background-color: #0065CA; }
|
|
|
.ansi-magenta-fg { color: #D160C4; }
|
|
|
.ansi-magenta-bg { background-color: #D160C4; }
|
|
|
.ansi-magenta-intense-fg { color: #A03196; }
|
|
|
.ansi-magenta-intense-bg { background-color: #A03196; }
|
|
|
.ansi-cyan-fg { color: #60C6C8; }
|
|
|
.ansi-cyan-bg { background-color: #60C6C8; }
|
|
|
.ansi-cyan-intense-fg { color: #258F8F; }
|
|
|
.ansi-cyan-intense-bg { background-color: #258F8F; }
|
|
|
.ansi-white-fg { color: #C5C1B4; }
|
|
|
.ansi-white-bg { background-color: #C5C1B4; }
|
|
|
.ansi-white-intense-fg { color: #A1A6B2; }
|
|
|
.ansi-white-intense-bg { background-color: #A1A6B2; }
|
|
|
|
|
|
.ansi-default-inverse-fg { color: #FFFFFF; }
|
|
|
.ansi-default-inverse-bg { background-color: #000000; }
|
|
|
|
|
|
.ansi-bold { font-weight: bold; }
|
|
|
.ansi-underline { text-decoration: underline; }
|
|
|
|
|
|
|
|
|
div.nbinput.container div.input_area div[class*=highlight] > pre,
|
|
|
div.nboutput.container div.output_area div[class*=highlight] > pre,
|
|
|
div.nboutput.container div.output_area div[class*=highlight].math,
|
|
|
div.nboutput.container div.output_area.rendered_html,
|
|
|
div.nboutput.container div.output_area > div.output_javascript,
|
|
|
div.nboutput.container div.output_area:not(.rendered_html) > img{
|
|
|
padding: 5px;
|
|
|
margin: 0;
|
|
|
}
|
|
|
|
|
|
/* fix copybtn overflow problem in chromium (needed for 'sphinx_copybutton') */
|
|
|
div.nbinput.container div.input_area > div[class^='highlight'],
|
|
|
div.nboutput.container div.output_area > div[class^='highlight']{
|
|
|
overflow-y: hidden;
|
|
|
}
|
|
|
|
|
|
/* hide copybtn icon on prompts (needed for 'sphinx_copybutton') */
|
|
|
.prompt a.copybtn {
|
|
|
display: none;
|
|
|
}
|
|
|
|
|
|
/* Some additional styling taken form the Jupyter notebook CSS */
|
|
|
div.rendered_html table {
|
|
|
border: none;
|
|
|
border-collapse: collapse;
|
|
|
border-spacing: 0;
|
|
|
color: black;
|
|
|
font-size: 12px;
|
|
|
table-layout: fixed;
|
|
|
}
|
|
|
div.rendered_html thead {
|
|
|
border-bottom: 1px solid black;
|
|
|
vertical-align: bottom;
|
|
|
}
|
|
|
div.rendered_html tr,
|
|
|
div.rendered_html th,
|
|
|
div.rendered_html td {
|
|
|
text-align: right;
|
|
|
vertical-align: middle;
|
|
|
padding: 0.5em 0.5em;
|
|
|
line-height: normal;
|
|
|
white-space: normal;
|
|
|
max-width: none;
|
|
|
border: none;
|
|
|
}
|
|
|
div.rendered_html th {
|
|
|
font-weight: bold;
|
|
|
}
|
|
|
div.rendered_html tbody tr:nth-child(odd) {
|
|
|
background: #f5f5f5;
|
|
|
}
|
|
|
div.rendered_html tbody tr:hover {
|
|
|
background: rgba(66, 165, 245, 0.2);
|
|
|
}
|
|
|
</style>
|
|
|
<div class="section" id="Traveling-Salesman">
|
|
|
<h1><span class="section-number">4. </span>Traveling Salesman<a class="headerlink" href="#Traveling-Salesman" title="Permalink to this headline">¶</a></h1>
|
|
|
<div class="section" id="Problem-definition">
|
|
|
<h2><span class="section-number">4.1. </span>Problem definition<a class="headerlink" href="#Problem-definition" title="Permalink to this headline">¶</a></h2>
|
|
|
<p>Given a list of cities and the distance between each pair of cities, the problem asks for the shortest route starting at the first city, visiting each other city exactly once, then returning to the first city. This problem is a generalization of the Hamiltonian path problem, one of Karp’s 21 NP-complete problems.</p>
|
|
|
</div>
|
|
|
<div class="section" id="Random-problem-generator">
|
|
|
<h2><span class="section-number">4.2. </span>Random problem generator<a class="headerlink" href="#Random-problem-generator" title="Permalink to this headline">¶</a></h2>
|
|
|
<p>The class <code class="docutils literal notranslate"><span class="pre">TravelingSalesmanGenerator</span></code> can be used to generate random instances of this problem. Initially, the generator creates <span class="math notranslate nohighlight">\(n\)</span> cities <span class="math notranslate nohighlight">\((x_1,y_1),\ldots,(x_n,y_n) \in \mathbb{R}^2\)</span>, where <span class="math notranslate nohighlight">\(n, x_i\)</span> and <span class="math notranslate nohighlight">\(y_i\)</span> are sampled independently from the provided probability distributions <code class="docutils literal notranslate"><span class="pre">n</span></code>, <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code>. For each pair of cities <span class="math notranslate nohighlight">\((i,j)\)</span>, the distance <span class="math notranslate nohighlight">\(d_{i,j}\)</span> between them is set to:</p>
|
|
|
<div class="math notranslate nohighlight">
|
|
|
\[d_{i,j} = \gamma_{i,j} \sqrt{(x_i-x_j)^2 + (y_i - y_j)^2}\]</div>
|
|
|
<p>where <span class="math notranslate nohighlight">\(\gamma_{i,j}\)</span> is sampled from the distribution <code class="docutils literal notranslate"><span class="pre">gamma</span></code>.</p>
|
|
|
<p>If <code class="docutils literal notranslate"><span class="pre">fix_cities=True</span></code> is provided, the list of cities is kept the same for all generated instances. The <span class="math notranslate nohighlight">\(gamma\)</span> values, and therefore also the distances, are still different.</p>
|
|
|
<p>By default, all distances <span class="math notranslate nohighlight">\(d_{i,j}\)</span> are rounded to the nearest integer. If <code class="docutils literal notranslate"><span class="pre">round=False</span></code> is provided, this rounding will be disabled.</p>
|
|
|
</div>
|
|
|
<div class="section" id="Challenge-A">
|
|
|
<h2><span class="section-number">4.3. </span>Challenge A<a class="headerlink" href="#Challenge-A" title="Permalink to this headline">¶</a></h2>
|
|
|
<ul class="simple">
|
|
|
<li><p>Fixed list of 350 cities in the <span class="math notranslate nohighlight">\([0, 1000]^2\)</span> square</p></li>
|
|
|
<li><p><span class="math notranslate nohighlight">\(\gamma_{i,j} \sim U(0.95, 1.05)\)</span></p></li>
|
|
|
<li><p>500 training instances, 50 test instances</p></li>
|
|
|
</ul>
|
|
|
<div class="nbinput nblast docutils container">
|
|
|
<div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[ ]:
|
|
|
</pre></div>
|
|
|
</div>
|
|
|
<div class="input_area highlight-ipython3 notranslate"><div class="highlight"><pre>
|
|
|
<span></span><span class="n">TravelingSalesmanGenerator</span><span class="p">(</span>
|
|
|
<span class="n">x</span><span class="o">=</span><span class="n">uniform</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mf">1000.0</span><span class="p">),</span>
|
|
|
<span class="n">y</span><span class="o">=</span><span class="n">uniform</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mf">1000.0</span><span class="p">),</span>
|
|
|
<span class="n">n</span><span class="o">=</span><span class="n">randint</span><span class="p">(</span><span class="n">low</span><span class="o">=</span><span class="mi">350</span><span class="p">,</span> <span class="n">high</span><span class="o">=</span><span class="mi">351</span><span class="p">),</span>
|
|
|
<span class="n">gamma</span><span class="o">=</span><span class="n">uniform</span><span class="p">(</span><span class="n">loc</span><span class="o">=</span><span class="mf">0.95</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mf">0.1</span><span class="p">),</span>
|
|
|
<span class="n">fix_cities</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span>
|
|
|
<span class="nb">round</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span>
|
|
|
<span class="p">)</span>
|
|
|
</pre></div>
|
|
|
</div>
|
|
|
</div>
|
|
|
<div class="nbinput nblast docutils container">
|
|
|
<div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[ ]:
|
|
|
</pre></div>
|
|
|
</div>
|
|
|
<div class="input_area highlight-ipython3 notranslate"><div class="highlight"><pre>
|
|
|
<span></span>
|
|
|
</pre></div>
|
|
|
</div>
|
|
|
</div>
|
|
|
</div>
|
|
|
</div>
|
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
<div class='prev-next-bottom'>
|
|
|
|
|
|
<a class='left-prev' id="prev-link" href="../knapsack/" title="previous page"><span class="section-number">3. </span>Multidimensional Knapsack</a>
|
|
|
|
|
|
</div>
|
|
|
|
|
|
</div>
|
|
|
</div>
|
|
|
<footer class="footer mt-5 mt-md-0">
|
|
|
<div class="container">
|
|
|
<p>
|
|
|
|
|
|
© Copyright 2020-2021, UChicago Argonne, LLC.<br/>
|
|
|
</p>
|
|
|
</div>
|
|
|
</footer>
|
|
|
</main>
|
|
|
|
|
|
|
|
|
</div>
|
|
|
</div>
|
|
|
|
|
|
<script src="../../_static/js/index.1c5a1a01449ed65a7b51.js"></script>
|
|
|
|
|
|
|
|
|
</body>
|
|
|
</html> |
