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  <doc>
    <id>852</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2005-03-17</completedDate>
    <publishedDate>2005-03-17</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Column-Generation Approach to Line Planning in Public Transport</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 transport network such that a given travel demand can be satisfied. There are (at least) two objectives. The transport company wishes to minimize operating costs, the passengers want to minimize travel times. We propose a n ew multi-commodity flow model for line planning. Its main features, in comparison to existing models, are that the passenger paths can be freely routed and that the lines are generated dynamically. We discuss properties of this model and investigate its complexity. Results with data for the city of Potsdam, Germany, are reported.</abstract>
    <identifier type="serial">05-18</identifier>
    <identifier type="opus3-id">852</identifier>
    <identifier type="doi">/10.1287/trsc.1060.0161</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8522</identifier>
    <enrichment key="SourceTitle">Appeared in: Transportation Science 41 (2007) 123-132</enrichment>
    <author>Ralf Borndörfer</author>
    <author>Martin Grötschel</author>
    <author>Marc Pfetsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>05-18</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>
    <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="persons" number="groetschel">Grötschel, Martin</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/852/ZR-05-18.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/852/ZR_05_18.orig.Vers.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/852/ZR-05-18.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/852/ZR_05_18.orig.Vers.ps</file>
  </doc>
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