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DOI: 10.4230/OASIcs.ATMOS.2006.688

A Game-Theoretic Approach to Line Planning

Authors: Anita Schöbel and Silvia Schwarze

Published in: OASIcs, Volume 5, 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06) (2006)

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}.

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Anita Schöbel and Silvia Schwarze. A Game-Theoretic Approach to Line Planning. In 6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06). Open Access Series in Informatics (OASIcs), Volume 5, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{schobel_et_al:OASIcs.ATMOS.2006.688,
  author =	{Sch\"{o}bel, Anita and Schwarze, Silvia},
  title =	{{A Game-Theoretic Approach to Line Planning}},
  booktitle =	{6th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'06)},
  pages =	{1--16},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-01-9},
  ISSN =	{2190-6807},
  year =	{2006},
  volume =	{5},
  editor =	{Jacob, Riko and M\"{u}ller-Hannemann, Matthias},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2006.688},
  URN =		{urn:nbn:de:0030-drops-6887},
  doi =		{10.4230/OASIcs.ATMOS.2006.688},
  annote =	{Keywords: Line Planning, Network Game, Equilibrium}
}

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A Game-Theoretic Approach to Line Planning

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