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DOI: 10.4230/OASIcs.ATMOS.2006.688
URN: urn:nbn:de:0030-drops-6887
URL: http://drops.dagstuhl.de/opus/volltexte/2006/688/
Schöbel, Anita ; Schwarze, Silvia

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:DSP:2006:688,
  author =	{Anita Sch{\"o}bel and Silvia Schwarze},
  title =	{A Game-Theoretic Approach to Line Planning},
  booktitle =	{ATMOS 2006 - 6th Workshop on Algorithmic Methods and Models for Optimization of Railways},
  year =	{2006},
  editor =	{Riko Jacob and Matthias M{\"u}ller-Hannemann},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/688},
  annote =	{Keywords: Line Planning, Network Game, Equilibrium},
  ISBN =	{978-3-939897-01-9}
}

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: 29.08.2006

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