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DOI: 10.4230/OASIcs.ATMOS.2007.1173

09. Periodic Railway Timetabling with Event Flexibility

Authors: Gabrio Curzio Caimi, Martin Fuchsberger, Marco Laumanns, and Kaspar Schüpbach

Published in: OASIcs, Volume 7, 7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07) (2007)

Abstract

This paper addresses the problem of generating conflict-free periodic train schedules for large railway networks. We follow a two level approach, where a simplified track topology is used to obtain a macro level schedule and the detailed topology is considered locally on the micro level. To increase the solution space in the interface of the two levels, we propose an extension of the well-known Periodic Event Scheduling Problem (PESP) such that it allows to generate flexible time slots for the departure and arrival times instead of exact times. This Flexible Periodic Event Scheduling Problem (FPESP) formulation considerably increases the chance to obtain feasible solutions (exact train routings) subsequently on the micro level, in particular for stations with dense peak traffic. Total trip time and the time slot sizes are used as multiple objectives and weighted and/or constrained to allocate the flexibility where it is most useful. Tests on an instance of the 2007 service intention of the Swiss Federal Railways demonstrate the advantage of the FPESP model, while it only moderate increases its solution time in most cases.

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Gabrio Curzio Caimi, Martin Fuchsberger, Marco Laumanns, and Kaspar Schüpbach. 09. Periodic Railway Timetabling with Event Flexibility. In 7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07). Open Access Series in Informatics (OASIcs), Volume 7, pp. 124-141, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{caimi_et_al:OASIcs.ATMOS.2007.1173,
  author =	{Caimi, Gabrio Curzio and Fuchsberger, Martin and Laumanns, Marco and Sch\"{u}pbach, Kaspar},
  title =	{{09. Periodic Railway Timetabling with Event Flexibility}},
  booktitle =	{7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07)},
  pages =	{124--141},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-04-0},
  ISSN =	{2190-6807},
  year =	{2007},
  volume =	{7},
  editor =	{Ahuja, Ravindra K. and Liebchen, Christian and Mesa, Juan A.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2007.1173},
  URN =		{urn:nbn:de:0030-drops-11735},
  doi =		{10.4230/OASIcs.ATMOS.2007.1173},
  annote =	{Keywords: }
}

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09. Periodic Railway Timetabling with Event Flexibility

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