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A Column-Generation Approach to Line Planning in Public Transport

Please always quote using this URN: urn:nbn:de:0297-zib-8522
  • 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.

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Author:Ralf BorndörferORCiD, Martin Grötschel, Marc PfetschORCiD
Document Type:ZIB-Report
Tag:column generation; line planning
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Bxx Operations research and management science / 90B06 Transportation, logistics
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C27 Combinatorial optimization
Date of first Publication:2005/03/17
Series (Serial Number):ZIB-Report (05-18)
Published in:Appeared in: Transportation Science 41 (2007) 123-132
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