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Benders Decomposition for the Periodic Event Scheduling Problem

In: Operations Research Proceedings 2021

Author

Listed:
  • Niels Lindner

    (Zuse Institute Berlin)

  • Rolf Lieshout

    (Eindhoven University of Technology)

Abstract

The Periodic Event Scheduling Problem (PESP) is the central mathematical model behind the optimization of periodic timetables in public transport. We apply Benders decomposition to the incidence-based MIP formulation of PESP. The resulting formulation exhibits particularly nice features: The subproblem is a minimum cost network flow problem, and feasibility cuts are equivalent to the well-known cycle inequalities by Odijk. We integrate the Benders approach into a branch-and-cut framework, and assess the performance of this method on instances derived from the benchmarking library PESPlib.

Suggested Citation

  • Niels Lindner & Rolf Lieshout, 2022. "Benders Decomposition for the Periodic Event Scheduling Problem," Lecture Notes in Operations Research, in: Norbert Trautmann & Mario Gnägi (ed.), Operations Research Proceedings 2021, pages 289-294, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-08623-6_43
    DOI: 10.1007/978-3-031-08623-6_43
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