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DOI: 10.4230/OASIcs.ATMOS.2011.122

On the Smoothed Price of Anarchy of the Traffic Assignment Problem

Authors: Luciana Buriol, Marcus Ritt, Felix Rodrigues, and Guido Schäfer

Published in: OASIcs, Volume 20, 11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (2011)

Abstract

We study the effect of perturbations on the Price of Anarchy for the Traffic Assignment Problem. Adopting the smoothed analysis approach, we randomly perturb the latency functions of the given network and estimate the expected Price of Anarchy on the perturbed instances. We provide both theoretical and experimental results that show that the Smoothed Price of Anarchy is of the same order of magnitude as the original one.

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Luciana Buriol, Marcus Ritt, Felix Rodrigues, and Guido Schäfer. On the Smoothed Price of Anarchy of the Traffic Assignment Problem. In 11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems. Open Access Series in Informatics (OASIcs), Volume 20, pp. 122-133, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{buriol_et_al:OASIcs.ATMOS.2011.122,
  author =	{Buriol, Luciana and Ritt, Marcus and Rodrigues, Felix and Sch\"{a}fer, Guido},
  title =	{{On the Smoothed Price of Anarchy of the Traffic Assignment Problem}},
  booktitle =	{11th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems},
  pages =	{122--133},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-33-0},
  ISSN =	{2190-6807},
  year =	{2011},
  volume =	{20},
  editor =	{Caprara, Alberto and Kontogiannis, Spyros},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2011.122},
  URN =		{urn:nbn:de:0030-drops-32727},
  doi =		{10.4230/OASIcs.ATMOS.2011.122},
  annote =	{Keywords: Traffic Assignment Problem, Smoothed Analysis, Price of Anarchy}
}

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On the Smoothed Price of Anarchy of the Traffic Assignment Problem

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