<?xml version="1.0" encoding="utf-8"?>
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  <doc>
    <id>6460</id>
    <completedYear/>
    <publishedYear>2018</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>151</pageFirst>
    <pageLast>157</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>Springer International Publishing</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Exploring the Numerics of Branch-and-Cut for Mixed Integer Linear Optimization</title>
    <abstract language="eng">We investigate how the numerical properties of the LP relaxations evolve&#13;
throughout the solution procedure in a solver employing the branch-and-cut&#13;
algorithm. The long-term goal of this work is to determine whether the effect&#13;
on the numerical conditioning of the LP relaxations resulting from the&#13;
branching and cutting operations can be effectively predicted&#13;
and whether such predictions can be used to make better algorithmic&#13;
choices. In a first step towards this goal, we discuss here the numerical&#13;
behavior of an existing solver in order to determine whether our &#13;
intuitive understanding of this behavior is correct.</abstract>
    <parentTitle language="eng">Operations Research Proceedings 2017</parentTitle>
    <identifier type="doi">10.1007/978-3-319-89920-6</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-64645</enrichment>
    <enrichment key="AcceptedDate">2017-11-10</enrichment>
    <enrichment key="SourceTitle">Operations Research Proceedings 2017</enrichment>
    <author>Matthias Miltenberger</author>
    <submitter>Matthias Miltenberger</submitter>
    <author>Ted Ralphs</author>
    <author>Daniel Steffy</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="institutes" number="mip">Mathematical Optimization Methods</collection>
    <collection role="persons" number="miltenberger">Miltenberger, Matthias</collection>
    <collection role="projects" number="ASTfSCM">ASTfSCM</collection>
    <collection role="projects" number="MIP-ZIBOPT">MIP-ZIBOPT</collection>
    <collection role="projects" number="MODAL-SynLab">MODAL-SynLab</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
</export-example>
