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When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.ATMOS.2006.688
URN: urn:nbn:de:0030-drops-6887
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Schöbel, Anita ; Schwarze, Silvia

A Game-Theoretic Approach to Line Planning

06002.SchoebelAnita.Paper.688.pdf (0.2 MB)


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

  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 =		{},
  URN =		{urn:nbn:de:0030-drops-6887},
  doi =		{10.4230/OASIcs.ATMOS.2006.688},
  annote =	{Keywords: Line Planning, Network Game, Equilibrium}

Keywords: Line Planning, Network Game, Equilibrium
Collection: 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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