Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Schöbel, Anita; Schwarze, Silvia http://www.dagstuhl.de/oasics License
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URN: urn:nbn:de:0030-drops-6887
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A Game-Theoretic Approach to Line Planning

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Abstract

We present a game-theoretic model for the line planning problem in public transportation, in which each line acts as player and aims to minimize a cost function which is related to the traffic along its edges. We analyze the model and in particular show that a potential function exists. Based on this result, we present a method for calculating equilibria and present first numerical results using the railway network of {it Deutsche Bahn}.

BibTeX - Entry

@InProceedings{schbel_et_al:OASIcs:2006:688,
  author =	{Anita Sch{\"o}bel and Silvia Schwarze},
  title =	{{A Game-Theoretic Approach to Line Planning}},
  booktitle =	{6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06)},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-01-9},
  ISSN =	{2190-6807},
  year =	{2006},
  volume =	{5},
  editor =	{Riko Jacob and Matthias M{\"u}ller-Hannemann},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/688},
  URN =		{urn:nbn:de:0030-drops-6887},
  doi =		{http://dx.doi.org/10.4230/OASIcs.ATMOS.2006.688},
  annote =	{Keywords: Line Planning, Network Game, Equilibrium}
}

Keywords: Line Planning, Network Game, Equilibrium
Seminar: 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06)
Issue date: 2006
Date of publication: 2006


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