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Incremental Heuristics for Periodic Timetabling

In: Operations Research Proceedings 2023

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  • Niels Lindner

    (Institut für Mathematik
    Zuse Institute Berlin, Department Network Optimization)

  • Christian Liebchen

    (Technical University of Applied Sciences Wildau)

Abstract

We present incremental heuristics for the Periodic Event Scheduling Problem (PESP), the standard mathematical tool to optimize periodic timetables in public transport. The core of our method is to solve successively larger subinstances making use of previously found solutions. Introducing the technical notion of free stratifications, we formulate a general scheme for incremental heuristics for PESP. More practically, we use line and station information to create heuristics that add lines or stations one by one, and we evaluate these heuristics on instances of the benchmarking library PESPlib. This approach is indeed viable, and leads to new incumbent solutions for six PESPlib instances.

Suggested Citation

  • Niels Lindner & Christian Liebchen, 2025. "Incremental Heuristics for Periodic Timetabling," Lecture Notes in Operations Research, in: Guido Voigt & Malte Fliedner & Knut Haase & Wolfgang Brüggemann & Kai Hoberg & Joern Meissner (ed.), Operations Research Proceedings 2023, chapter 0, pages 461-467, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-58405-3_59
    DOI: 10.1007/978-3-031-58405-3_59
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