License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.ATMOS.2020.13
URN: urn:nbn:de:0030-drops-131499
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/13149/
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Schöbel, Anita ; Urban, Reena

Cheapest Paths in Public Transport: Properties and Algorithms

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OASIcs-ATMOS-2020-13.pdf (0.5 MB)

Abstract

When determining the paths of the passengers in public transport, the travel time is usually the main criterion. However, also the ticket price a passenger has to pay is a relevant factor for choosing the path. The ticket price is also relevant for simulating the minimum income a public transport company can expect.
However, finding the correct price depends on the fare system used (e.g., distance tariff, zone tariff with different particularities, application of a short-distance tariff, etc.) and may be rather complicated even if the path is already fixed. An algorithm which finds a cheapest path in a very general case has been provided in [R. Euler and R. Borndörfer, 2019], but its running time is exponential. In this paper, we model and analyze different fare systems, identify important properties they may have and provide polynomial algorithms for computing a cheapest path.

BibTeX - Entry

@InProceedings{schbel_et_al:OASIcs:2020:13149,
  author =	{Anita Sch{\"o}bel and Reena Urban},
  title =	{{Cheapest Paths in Public Transport: Properties and Algorithms}},
  booktitle =	{20th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2020)},
  pages =	{13:1--13:16},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-170-2},
  ISSN =	{2190-6807},
  year =	{2020},
  volume =	{85},
  editor =	{Dennis Huisman and Christos D. Zaroliagis},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/13149},
  URN =		{urn:nbn:de:0030-drops-131499},
  doi =		{10.4230/OASIcs.ATMOS.2020.13},
  annote =	{Keywords: Public Transport, Fare Systems, Modeling, Cheapest Paths}
}

Keywords: Public Transport, Fare Systems, Modeling, Cheapest Paths
Collection: 20th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2020)
Issue Date: 2020
Date of publication: 10.11.2020

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