A Hypergraph Model for Railway Vehicle Rotation Planning

Please always quote using this URN: urn:nbn:de:0030-drops-32746
  • We propose a model for the integrated optimization of vehicle rotations and vehicle compositions in long distance railway passenger transport. The main contribution of the paper is a hypergraph model that is able to handle the challenging technical requirements as well as very general stipulations with respect to the ``regularity'' of a schedule. The hypergraph model directly generalizes network flow models, replacing arcs with hyperarcs. Although NP-hard in general, the model is computationally well-behaved in practice. High quality solutions can be produced in reasonable time using high performance Integer Programming techniques, in particular, column generation and rapid branching. We show that, in this way, large-scale real world instances of our cooperation partner DB Fernverkehr can be solved.

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Author:Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Steffen Weider
Document Type:ZIB-Report
Tag:Rolling Stock Planning, Hypergraph Modeling, Integer Programming, Column Generation, Rapid Branching
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING
Date of first Publication:2011/09/22
Series (Serial Number):ZIB-Report (11-36)
ISSN:1438-0064
Published in:Appeared in: 11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems. Alberto Caprara and Spyros Kontogiannis (eds.) 2011, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, ISBN 978-3-939897-33-0, pp. 146-155, OpenAccess Series in Informatics (OASIcs), 20
DOI:http://dx.doi.org//10.4230/OASIcs.ATMOS.2011.146
Licence (German):License LogoCreative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen

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