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Resolution of coupling order and station level constraints in train unit scheduling

Author

Listed:
  • Li Lei

    (University of Leeds)

  • Raymond S K Kwan

    (University of Leeds)

  • Zhiyuan Lin

    (University of Leeds)

  • Pedro J Copado-Mendez

    (Universitat Oberta de Catalunya)

Abstract

Train unit scheduling assigns vehicles to cover all trips of a fixed timetable satisfying constraints such as seat demands. With a two-phase approach, this problem is first solved in Phase I as an integer multi-commodity flow problem. Train stations are simplified as single points and coupling orders of train units are left undetermined. In this paper, platforms and their layouts at the stations are restored to complete a fully operable schedule, defined as Phase II. An adaptive approach expanding Phase I to Phase II is proposed. The logistics of (de-)coupling operations, coupling orders and re-platforming are determined in detail to prevent unit blockage where possible, particularly focusing on developing a schedule with conflict-free coupling orders. If unresolvable station level conflicts still exist, the process loops back to Phase I with addressed Phase II constraints to avoid identified conflicts. Thus, the schedule is iteratively improved until it is fully operable.

Suggested Citation

  • Li Lei & Raymond S K Kwan & Zhiyuan Lin & Pedro J Copado-Mendez, 2022. "Resolution of coupling order and station level constraints in train unit scheduling," Public Transport, Springer, vol. 14(1), pages 27-61, March.
    • Handle: RePEc:spr:pubtra:v:14:y:2022:i:1:d:10.1007_s12469-022-00295-3
    DOI: 10.1007/s12469-022-00295-3
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    References listed on IDEAS

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    1. Zhiyuan Lin & Eva Barrena & Raymond S. K. Kwan, 2017. "Train unit scheduling guided by historic capacity provisions and passenger count surveys," Public Transport, Springer, vol. 9(1), pages 137-154, July.
    2. Richard Freling & Ramon M. Lentink & Leo G. Kroon & Dennis Huisman, 2005. "Shunting of Passenger Train Units in a Railway Station," Transportation Science, INFORMS, vol. 39(2), pages 261-272, May.
    3. Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005. "Operations Research in passenger railway transportation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497, November.
    4. Leo G. Kroon & Ramon M. Lentink & Alexander Schrijver, 2008. "Shunting of Passenger Train Units: An Integrated Approach," Transportation Science, INFORMS, vol. 42(4), pages 436-449, November.
    5. Haahr, Jørgen & Lusby, Richard M., 2017. "Integrating rolling stock scheduling with train unit shunting," European Journal of Operational Research, Elsevier, vol. 259(2), pages 452-468.
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