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Cheapest Paths in Public Transport: Properties and Algorithms

Authors Anita Schöbel, Reena Urban

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Anita Schöbel
  • Technische Universität Kaiserslautern, Germany
  • Fraunhofer-Institute for Industrial Mathematics ITWM, Kaiserslautern, Germany
Reena Urban
  • Technische Universität Kaiserslautern, Germany

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Anita Schöbel and Reena Urban. Cheapest Paths in Public Transport: Properties and Algorithms. In 20th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2020). Open Access Series in Informatics (OASIcs), Volume 85, pp. 13:1-13:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/OASIcs.ATMOS.2020.13

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.

Subject Classification

ACM Subject Classification
  • Applied computing → Transportation
Keywords
  • Public Transport
  • Fare Systems
  • Modeling
  • Cheapest Paths

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References

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