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Design of Zone Tariff Systems in Public Transportation

Author

Listed:
  • Horst W. Hamacher

    (Department of Mathematics, Universität Kaiserslautern, 67663 Kaiserslautern, Germany)

  • Anita Schöbel

    (Department of Numerical and Applied Mathematics, University of Göttingen, 37083 Göttingen, Germany)

Abstract

Dedicated to our doctor father and grandfather, Prof. Dr. E. Rainer Burkard, on the occasion of his 60th birthday Given a public transportation system represented by its stops and direct connections between stops, we present OR models for two problems dealing with the prices for the customers. In the first, the fare problem , subsets of stops are already aggregated to zones and “good” tariffs have to be found in the existing zone system. Closed form solutions for the fare problem are presented for three objective functions. The second problem, the zone problem includes the design of the zones. In an exemplary way we study this problem for one of the objectives. It is NP hard and we therefore propose three heuristics which prove to be very successful in the redesign of one of Germany's transportation systems.

Suggested Citation

  • Horst W. Hamacher & Anita Schöbel, 2004. "Design of Zone Tariff Systems in Public Transportation," Operations Research, INFORMS, vol. 52(6), pages 897-908, December.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:6:p:897-908
    DOI: 10.1287/opre.1040.0120
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    Cited by:

    1. Simic, Vladimir & Gokasar, Ilgin & Deveci, Muhammet & Karakurt, Ahmet, 2022. "An integrated CRITIC and MABAC based type-2 neutrosophic model for public transportation pricing system selection," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    2. Azadian, Farshid & Murat, Alper, 2018. "Service location grouping and pricing in transportation: Application in air cargo," European Journal of Operational Research, Elsevier, vol. 267(3), pages 933-943.
    3. Stanislav PALÚCH & Tomáš MAJER, 2017. "On A Fair Manifold Fare Rating On A Long Traffic Line," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 12(2), pages 5-11, June.

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