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A Variable Trip Time Model for Cyclic Railway Timetabling

Author

Listed:
  • Leo G. Kroon

    (Department of Logistics, NS Reizigers, P.O. Box 2025, NL-3500 HA Utrecht, The Netherlands, and the Rotterdam School of Management, Erasmus University Rotterdam, P.O. Box 1738, NL-3000 DR Rotterdam, The Netherlands)

  • Leon W. P. Peeters

    (Rotterdam School of Management, Erasmus University Rotterdam, P.O. Box 1738, NL-3000 DR Rotterdam, The Netherlands)

Abstract

In this paper we describe how variable trip times can be included into an existing cyclic railway timetabling model based on the well-known periodic event scheduling problem (PESP). Thereby we provide an extension of the existing model because in the existing model it is assumed that the trip times of all trains on all tracks of the railway network are known a priori. However, the latter may be too restrictive in practice. The solution space of the extended model that we present is larger because small deviations from the fixed trip times are allowed. This is especially useful when a feasible solution to the fixed trip time model does not exist. The solutions obtained from the extended model are proven to be correct under certain necessary and sufficient conditions. Furthermore, the extended model has the same general structure as the original model. Therefore, solution methods developed for the original fixed trip time model can be applied to the extended model as well.

Suggested Citation

  • Leo G. Kroon & Leon W. P. Peeters, 2003. "A Variable Trip Time Model for Cyclic Railway Timetabling," Transportation Science, INFORMS, vol. 37(2), pages 198-212, May.
    • Handle: RePEc:inm:ortrsc:v:37:y:2003:i:2:p:198-212
    DOI: 10.1287/trsc.37.2.198.15247
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    References listed on IDEAS

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    1. Jurjen S. Hooghiemstra & Leo G. Kroon & Michiel A. Odijk & Marc Salomon & Peter J. Zwaneveld, 1999. "Decision Support Systems Support the Search for Win-Win Solutions in Railway Network Design," Interfaces, INFORMS, vol. 29(2), pages 15-32, April.
    2. Zwaneveld, Peter J. & Kroon, Leo G. & van Hoesel, Stan P. M., 2001. "Routing trains through a railway station based on a node packing model," European Journal of Operational Research, Elsevier, vol. 128(1), pages 14-33, January.
    3. Nachtigall, Karl & Voget, Stefan, 1997. "Minimizing waiting times in integrated fixed interval timetables by upgrading railway tracks," European Journal of Operational Research, Elsevier, vol. 103(3), pages 610-627, December.
    4. Zuidwijk, R.A. & Kroon, L.G., 2000. "Integer Constraints for Train Series Connections," ERIM Report Series Research in Management ERS-2000-05-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.
    5. Odijk, Michiel A., 1996. "A constraint generation algorithm for the construction of periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 30(6), pages 455-464, December.
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