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Routing in Line Planning for Public Transport

In: Operations Research Proceedings 2005

Author

Listed:
  • Marc E. Pfetsch

    (Konrad-Zuse-Zentrum für Informationstechnik Berlin)

  • Ralf Borndörfer

    (Konrad-Zuse-Zentrum für Informationstechnik Berlin)

Abstract

Summary The line planning problem is one of the fundamental problems in strategic planning of public and rail transport. It consists in finding lines and corresponding frequencies in a network such that a given demand can be satisfied. There are two objectives. Passengers want to minimize travel times, the transport company wishes to minimize operating costs. We investigate three variants of a multi-commodity flow model for line planning that differ with respect to passenger routings. The first model allows arbitrary routings, the second only unsplittable routings, and the third only shortest path routings with respect to the network. We compare these models theoretically and computationally on data for the city of Potsdam.

Suggested Citation

  • Marc E. Pfetsch & Ralf Borndörfer, 2006. "Routing in Line Planning for Public Transport," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 405-410, Springer.
  • Handle: RePEc:spr:oprchp:978-3-540-32539-0_64
    DOI: 10.1007/3-540-32539-5_64
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    Cited by:

    1. Feng, Tao & Lusby, Richard M. & Zhang, Yongxiang & Peng, Qiyuan, 2024. "Integrating train service route design with passenger flow allocation for an urban rail transit line," European Journal of Operational Research, Elsevier, vol. 313(1), pages 146-170.

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