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Models for Line Planning in Public Transport

Please always quote using this URN: urn:nbn:de:0297-zib-7854
  • The \emph{line planning problem} is one of the fundamental problems in strategic planning of public and rail transport. It consists of finding lines and corresponding frequencies in a public transport network such that a given travel demand can be satisfied. There are (at least) two objectives. The transport company wishes to minimize its operating cost; the passengers request short travel times. We propose two new multi-commodity flow models for line planning. Their main features, in comparison to existing models, are that the passenger paths can be freely routed and that the lines are generated dynamically.

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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:2004/04/20
Series (Serial Number):ZIB-Report (04-10)
Published in:Appeared in: Computer-aided Systems in Public Transport. Mark Hickman, Pitu Mirchandani, Stefan Voss (eds.) Lecture Notes in Economics and Mathematical Systems, 600, 2008, pp. 363-378
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