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Cut Generation, Heuristics and Callbacks

How to Solve Hard IPs

Ross Michael Anderson

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Overview

<p>Methods for Integer Programming</p> <ul> <li>Generating Constraints "on the fly"</li> <li>Suggesting Integer Solutions</li> </ul> <p>Case Study: The Traveling Salesmen Problem</p> <ul> <li>Exponentially many constraints</li> <li>Heuristics well studied <ul> <li>Christofides</li> <li>Two-Opt</li> </ul> </li> </ul> <p>Implementation Tools</p> <ul> <li>CPLEX</li> <li>Java</li> </ul>

Java Review

<h2><a name="TSPSlides-Topics"></a>Topics</h2> <ul> <li>"Hello World!"</li> <li>Types, Privatives, and Generics</li> <li>Object Oriented Programming</li> <li>Data Structures</li> </ul>

Hello World

<div class="code panel pdl" style="border-width: 1px;"><div class="codeContent panelContent pdl"> <pre class="syntaxhighlighter-pre" data-syntaxhighlighter-params="brush: java; gutter: false; theme: Confluence" data-theme="Confluence"> public class Example{ public static void main(String[] args){ System.out.println(&quot;Hello World!&quot;); } } </pre> </div></div>

Object Oriented Programming

<ul> <li>...</li> </ul>

More stuff

<h2><a name="TSPSlides-AHeading"></a>A Heading </h2> <ul> <li>Point</li> <li><strong>Another</strong></li> </ul> <h3><a name="TSPSlides-ThirdLevel"></a>Third Level </h3> <ol> <li>one</li> <li>two</li> </ol>

Charts Are Fun

<div class="error"><span class="error">Unknown macro: {chart}</span> <table class="confluenceTable"><tbody> <tr> <th class="confluenceTh"><p>Fruit</p></th> <th class="confluenceTh"><p>Banana</p></th> <th class="confluenceTh"><p>Apple</p></th> <th class="confluenceTh"><p>Raisin</p></th> </tr> <tr> <td class="confluenceTd"><p>Rank</p></td> <th class="confluenceTh"><p>10</p></th> <td class="confluenceTd"><p>5</p></td> <td class="confluenceTd"><p>1</p></td> </tr> </tbody></table> </div>
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