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  <doc>
    <id>6289</id>
    <completedYear/>
    <publishedYear>2016</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2016-12-31</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Improved Compact Models for the Resource-Constrained Project Scheduling Problem</title>
    <abstract language="eng">In this article, we study compact Mixed-Integer Programming (MIP) models for the Resource-Constrained Project Scheduling Problem (RCPSP). Compared to the classical time-indexed formulation, the size of compact models is strongly polynomial in the number of jobs. In addition to two compact models from the literature, we propose a new compact model. We can show that all three compact models are equivalent by successive linear transformations. For their LP-relaxations, however, we state a full inclusion hierarchy where our new model dominates the previous models in terms of polyhedral strength. Moreover, we reveal a polyhedral relationship to the common time-indexed model. Furthermore, a general class of valid cutting planes for the compact models is introduced and finally all models are evaluated by computational experiments.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-62891</identifier>
    <enrichment key="SourceTitle">Appeared in: Operations Research Proceedings 2016</enrichment>
    <author>Alexander Tesch</author>
    <submitter>Alexander Tesch</submitter>
    <series>
      <title>ZIB-Report</title>
      <number>16-76</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Scheduling</value>
    </subject>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="tesch">Tesch, Alexander</collection>
    <collection role="projects" number="BMBF-IBOSS">BMBF-IBOSS</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/6289/ZR-16-76.pdf</file>
  </doc>
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