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  <doc>
    <id>963</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-08-02</completedDate>
    <publishedDate>2007-08-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Solving Railway Track Allocation Problems</title>
    <abstract language="eng">The \emph{optimal track allocation problem} (\textsc{OPTRA}), also known as the train routing problem or the train timetabling problem, is to find, in a given railway network, a conflict-free set of train routes of maximum value. We propose a novel integer programming formulation for this problem that is based on additional configuration' variables. Its LP-relaxation can be solved in polynomial time. These results are the theoretical basis for a column generation algorithm to solve large-scale track allocation problems. Computational results for the Hanover-Kassel-Fulda area of the German long distance railway network involving up to 570 trains are reported.</abstract>
    <identifier type="serial">07-20</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">974</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9631</identifier>
    <enrichment key="SourceTitle">Appeared in: Operations Research Proceedings 2007. J. Kalcsics, S. Nickel (eds.)Springer 2008, pp. 117-122</enrichment>
    <author>Ralf Borndörfer</author>
    <submitter>unknown unknown</submitter>
    <author>Thomas Schlechte</author>
    <series>
      <title>ZIB-Report</title>
      <number>07-20</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>railway track allocation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>timetabling</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>column generation</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="90B06">Transportation, logistics</collection>
    <collection role="msc" number="90C27">Combinatorial optimization</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="persons" number="schlechte">Schlechte, Thomas</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/963/ZR_07_20.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/963/ZR_07_20.ps</file>
  </doc>
</export-example>
