A Hypergraph Model for Railway Vehicle Rotation Planning

  • 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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Metadaten
Author:Ralf Borndörfer, Markus Reuther, Thomas Schlechte, Steffen Weider
Document Type:Article
Parent Title (English):11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems
Volume:OpenAccess Series in Informatics (OASIcs)
Issue:20
First Page:146
Last Page:155
Year of first publication:2011
Preprint:urn:nbn:de:0030-drops-32746
DOI:http://dx.doi.org/10.4230/OASIcs.ATMOS.2011.146

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