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  <doc>
    <id>854</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>2005-03-23</completedDate>
    <publishedDate>2005-03-23</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Fare Planning for Public Transport</title>
    <abstract language="eng">In this paper we introduce the fare planning problem for public transport which consists in designing a system of fares maximizing revenue. We propose a new simple general model for this problem. It i s based on a demand function and constraints for the different fares. The constraints define the structure of the fare system, e.g., distance dependent fares or zone fares. We discuss a simple example with a quadratic demand function and distance dependent fares. Then we introduce a more realistic discrete choice model in which passengers choose between different alternatives depending on the numb er of trips per month. We demonstrate the examples by computational experiments.</abstract>
    <identifier type="serial">05-20</identifier>
    <identifier type="opus3-id">854</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8541</identifier>
    <author>Ralf Borndörfer</author>
    <author>Marika Neumann</author>
    <author>Marc Pfetsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>05-20</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>fare planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>demand function</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>discrete choice model</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="90B20">Traffic problems</collection>
    <collection role="msc" number="91B74">Models of real-world systems</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="institutes" number="traffic">Mathematics of Transportation and Logistics</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>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/854/ZR-05-20.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/854/ZR-05-20.ps</file>
  </doc>
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