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Stable and robust train routing in station areas with balanced infrastructure capacity occupation

Author

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  • Nikola Bešinović

    (Delft University of Technology)

  • Rob M. P. Goverde

    (Delft University of Technology)

Abstract

Routing trains through busy railway station layouts is an important part of the timetabling process. For each train, a feasible route has to be determined to provide reliable operations, given the arrival and departure times at stations. In this paper, we propose a model for stable and robust train routing with the goal to minimize capacity occupation and maximize robustness. We define a multi-objective optimization problem and provide the heuristic RouteCare based on a max-plus automata model and a delay propagation model. We consider microscopic infrastructure to guarantee practical feasibility. The performance of the proposed algorithm is demonstrated on real-life instances of the Dutch railway network. The generated solutions outperformed the variants of RouteCare that independently maximize stability or robustness by 10.4% and 9.5%, respectively. In addition, RouteCare showed that even for the same number of resources used, a more robust route plan can be found that uses the station capacity more efficiently.

Suggested Citation

  • Nikola Bešinović & Rob M. P. Goverde, 2019. "Stable and robust train routing in station areas with balanced infrastructure capacity occupation," Public Transport, Springer, vol. 11(2), pages 211-236, August.
    • Handle: RePEc:spr:pubtra:v:11:y:2019:i:2:d:10.1007_s12469-019-00202-3
    DOI: 10.1007/s12469-019-00202-3
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    1. Bunte, F.H.J. & Maks, J.A.H., 1997. "Contestability and sunk costs: an analysis of product R+D competition," Research Memorandum 015, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Kroon, Leo & Maróti, Gábor & Helmrich, Mathijn Retel & Vromans, Michiel & Dekker, Rommert, 2008. "Stochastic improvement of cyclic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 42(6), pages 553-570, July.
    3. Kroon, Leo G. & Edwin Romeijn, H. & Zwaneveld, Peter J., 1997. "Routing trains through railway stations: complexity issues," European Journal of Operational Research, Elsevier, vol. 98(3), pages 485-498, May.
    4. 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.
    5. Gabrio Caimi & Dan Burkolter & Thomas Herrmann, 2005. "Finding Delay-Tolerant Train Routings through Stations," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 136-143, Springer.
    6. Peter J. Zwaneveld & Leo G. Kroon & H. Edwin Romeijn & Marc Salomon & Stéphane Dauzère-Pérès & Stan P. M. Van Hoesel & Harrie W. Ambergen, 1996. "Routing Trains Through Railway Stations: Model Formulation and Algorithms," Transportation Science, INFORMS, vol. 30(3), pages 181-194, August.
    7. Goverde, Rob M.P., 2007. "Railway timetable stability analysis using max-plus system theory," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 179-201, February.
    8. Sparing, Daniel & Goverde, Rob M.P., 2017. "A cycle time optimization model for generating stable periodic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 198-223.
    9. Hein Fleuren & Dick Hertog & Peter Kort (ed.), 2005. "Operations Research Proceedings 2004," Operations Research Proceedings, Springer, number 978-3-540-27679-1, March.
    10. Carey, Malachy & Carville, Sinead, 2003. "Scheduling and platforming trains at busy complex stations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 195-224, March.
    11. Yuan, Jianxin & Hansen, Ingo A., 2007. "Optimizing capacity utilization of stations by estimating knock-on train delays," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 202-217, February.
    12. G. Caimi & F. Chudak & M. Fuchsberger & M. Laumanns & R. Zenklusen, 2011. "A New Resource-Constrained Multicommodity Flow Model for Conflict-Free Train Routing and Scheduling," Transportation Science, INFORMS, vol. 45(2), pages 212-227, May.
    13. Nikola Bešinović & Rob M. P. Goverde, 2018. "Capacity Assessment in Railway Networks," International Series in Operations Research & Management Science, in: Ralf Borndörfer & Torsten Klug & Leonardo Lamorgese & Carlo Mannino & Markus Reuther & Thomas Schlec (ed.), Handbook of Optimization in the Railway Industry, chapter 0, pages 25-45, Springer.
    14. Dewilde, Thijs & Sels, Peter & Cattrysse, Dirk & Vansteenwegen, Pieter, 2014. "Improving the robustness in railway station areas," European Journal of Operational Research, Elsevier, vol. 235(1), pages 276-286.
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