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  <doc>
    <id>8959</id>
    <completedYear/>
    <publishedYear>2023</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>87</pageFirst>
    <pageLast>99</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>13904</volume>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
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    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Monoidal strengthening and unique lifting in MIQCPs</title>
    <abstract language="eng">Using the recently proposed maximal quadratic-free sets and the well-known monoidal strengthening procedure, we show how to improve inter- section cuts for quadratically-constrained optimization problems by exploiting integrality requirements. We provide an explicit construction that allows an efficient implementation of the strengthened cuts along with computational results showing their improvements over the standard intersection cuts. We also show that, in our setting, there is unique lifting which implies that our strengthening procedure is generating the best possible cut coefficients for the integer variables.</abstract>
    <parentTitle language="eng">Integer Programming and Combinatorial Optimization. IPCO 2023.</parentTitle>
    <identifier type="doi">10.1007/978-3-031-32726-1_7</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">20.01.2023</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-89130</enrichment>
    <enrichment key="Series">Lecture Notes in Computer Science</enrichment>
    <author>Antonia Chmiela</author>
    <submitter>Antonia Chmiela</submitter>
    <author>Gonzalo Muñoz</author>
    <author>Felipe Serrano</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="projects" number="MODAL-SynLab">MODAL-SynLab</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="ais2t">AI in Society, Science, and Technology</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
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