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Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling

Author

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  • Leo G. Kroon

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands; and Netherlands Railways, Process Quality and Innovation, 3500 HA Utrecht, The Netherlands)

  • Leon W. P. Peeters

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands)

  • Joris C. Wagenaar

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands)

  • Rob A. Zuidwijk

    (Rotterdam School of Management, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands; and Delft University of Technology, Civil Engineering and Geosciences, 2600 GA Delft, The Netherlands)

Abstract

In this paper we describe how rolling stock and passenger connections in a cyclic railway timetable can be modeled in a flexible way within the model for the Periodic Event-Scheduling Problem (PESP). Usually, PESP models assume that the constraints for rolling stock or passenger connections specify in detail which trains should connect with each other. However, the flexibility described in this paper allows the model to choose which trains should connect with each other in a rolling stock or passenger connection. We express the connection times in a minimum matching of arriving and departing trains in terms of certain process time variables. We also describe an abstract framework demonstrating that, under certain conditions, the extra flexibility can be modeled purely in terms of PESP constraints. The concept of flexible rolling stock and passenger connections is illustrated by an example based on three intercity lines of Netherlands Railways.

Suggested Citation

  • Leo G. Kroon & Leon W. P. Peeters & Joris C. Wagenaar & Rob A. Zuidwijk, 2014. "Flexible Connections in PESP Models for Cyclic Passenger Railway Timetabling," Transportation Science, INFORMS, vol. 48(1), pages 136-154, February.
    • Handle: RePEc:inm:ortrsc:v:48:y:2014:i:1:p:136-154
    DOI: 10.1287/trsc.1120.0453
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    References listed on IDEAS

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    2. Polinder, G.-J. & Cacchiani, V. & Schmidt, M.E. & Huisman, D., 2020. "An iterative heuristic for passenger-centric train timetabling with integrated adaption times," ERIM Report Series Research in Management ERS-2020-006-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.
    3. Gao, Yuan & Kroon, Leo & Yang, Lixing & Gao, Ziyou, 2018. "Three-stage optimization method for the problem of scheduling additional trains on a high-speed rail corridor," Omega, Elsevier, vol. 80(C), pages 175-191.
    4. Wenliang Zhou & Sha Li & Jing Kang & Yu Huang, 2022. "Capacity-Oriented Train Scheduling of High-Speed Railway Considering the Operation and Maintenance of Rolling Stock," Mathematics, MDPI, vol. 10(10), pages 1-30, May.
    5. Robenek, Tomáš & Maknoon, Yousef & Azadeh, Shadi Sharif & Chen, Jianghang & Bierlaire, Michel, 2016. "Passenger centric train timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 107-126.
    6. Yin, Jiateng & Yang, Lixing & Tang, Tao & Gao, Ziyou & Ran, Bin, 2017. "Dynamic passenger demand oriented metro train scheduling with energy-efficiency and waiting time minimization: Mixed-integer linear programming approaches," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 182-213.
    7. Zeyu Wang & Leishan Zhou & Bin Guo & Xing Chen & Hanxiao Zhou, 2021. "An Efficient Hybrid Approach for Scheduling the Train Timetable for the Longer Distance High-Speed Railway," Sustainability, MDPI, vol. 13(5), pages 1-22, February.

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