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    <id>870</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2005-08-01</completedDate>
    <publishedDate>2005-08-01</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Routing in Line Planning for Public Transportation</title>
    <abstract language="eng">The line planning problem is one of the fundamental problems in strategic planning of public and rail transport. It consists in finding lines and corresponding frequencies in a network such that a giv en demand can be satisfied. There are two objectives. Passengers want to minimize travel times, the transport company wishes to minimize operating costs. We investigate three variants of a multi-commo dity flow model for line planning that differ with respect to passenger routings. The first model allows arbitrary routings, the second only unsplittable routings, and the third only shortest path rou tings with respect to the network. We compare these models theoretically and computationally on data for the city of Potsdam.</abstract>
    <identifier type="serial">05-36</identifier>
    <identifier type="opus3-id">870</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8706</identifier>
    <enrichment key="SourceTitle">Appeared in: Operations Research Proceedings 2005. H.-D. Haasis et al. (eds.) Springer 2006, 405-410</enrichment>
    <author>Marc Pfetsch</author>
    <author>Ralf Borndörfer</author>
    <series>
      <title>ZIB-Report</title>
      <number>05-36</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>line planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>column generation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>passenger routing</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="">ZIB Allgemein</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="projects" number="MATHEON-B1">MATHEON-B1</collection>
    <collection role="projects" number="MATHEON-B15">MATHEON-B15</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/870/ZR-05-36.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/870/ZR-05-36.ps</file>
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