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The Modulo Network Simplex with Integrated Passenger Routing

In: Operations Research Proceedings 2016

Author

Listed:
  • Ralf Borndörfer

    (Zuse Institute)

  • Heide Hoppmann

    (Zuse Institute)

  • Marika Karbstein

    (Zuse Institute)

  • Fabian Löbel

    (Zuse Institute)

Abstract

Periodic timetabling is an important strategic planning problem in public transport. The task is to determine periodic arrival and departure times of the lines in a given network, minimizing the travel time of the passengers. We extend the modulo network simplex method (Nachtigall and Opitz, Solving periodic timetable optimisation problems by modulo simplex calculations 2008 [6]), a well-established heuristic for the periodic timetabling problem, by integrating a passenger (re)routing step into the pivot operations. Computations on real-world networks show that we can indeed find timetables with much shorter total travel time, when we take the passengers’ travel paths into consideration.

Suggested Citation

  • Ralf Borndörfer & Heide Hoppmann & Marika Karbstein & Fabian Löbel, 2018. "The Modulo Network Simplex with Integrated Passenger Routing," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 637-644, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_84
    DOI: 10.1007/978-3-319-55702-1_84
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