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.
Author: | Ralf BorndörferORCiD, Martin Grötschel, Marc PfetschORCiD |
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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) |
ZIB-Reportnumber: | 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 |
DOI: | https://doi.org/10.1007/978-3-540-73312-6_18 |