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On the Benefit of Preprocessing and Heuristics for Periodic Timetabling

In: Operations Research Proceedings 2017

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  • Christian Liebchen

    (Technische Hochschule Wildau, Ingenieur- und Naturwissenschaften, Verkehrsbetriebsführung)

Abstract

We consider the computation of periodic timetables, which is a key task in the service design process of public transportation companies. We are aware of only one collection of instances, the so-called PESPlib. In the present paper, we aim at providing good solutions for the smallest and the largest of its instances (R1L1 and R4L4). We run a standard MIP solver (CPLEX) on a very elementary problem formulation. To come up with MIP sizes that fit better for standard MIP solvers, we propose to simplify the instances first, by invoking some basic preprocessing, parts of which having a heuristic character. Doing so, we improve the previously best-known objective value for R1L1 from 37,338,904 down to 33,711,523, and for R4L4 from 47,283,768 down to 43,234,156, i.e. by 9.7% and 8.6%, respectively.

Suggested Citation

  • Christian Liebchen, 2018. "On the Benefit of Preprocessing and Heuristics for Periodic Timetabling," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 709-714, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_94
    DOI: 10.1007/978-3-319-89920-6_94
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    Cited by:

    1. Hartleb, J. & Schmidt, M.E., 2019. "Railway timetabling with integrated passenger distribution," ERIM Report Series Research in Management ERS-2019-012-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Hartleb, Johann & Schmidt, Marie, 2022. "Railway timetabling with integrated passenger distribution," European Journal of Operational Research, Elsevier, vol. 298(3), pages 953-966.

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