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A comparison of two exact methods for passenger railway rolling stock (re)scheduling

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  • Haahr, Jørgen T.
  • Wagenaar, Joris C.
  • Veelenturf, Lucas P.
  • Kroon, Leo G.

Abstract

The assignment of rolling stock units to timetable services in passenger railways is an important optimization problem that has been addressed by many papers in different forms. Solution approaches have been proposed for different planning phases: strategic, tactical, operational, and real-time planning. In this paper we compare two approaches within the operational and real-time planning phase. The first exact approach is based on a known Mixed Integer Linear Program (MILP) which is solved using CPLEX. The second approach is a new method that is an extension of a recently introduced MILP, which is solved using a column and row generation approach. In this paper, we benchmark the performance of the methods on networks of two countries (Denmark and The Netherlands). We use the approaches to make daily schedules and we test their real time applicability by performing tests with different disruption scenarios. The computational experiments demonstrate that both models can be used on both networks and are able to find optimal rolling stock circulations in the different planning phases. Furthermore, the results show that both approaches are sufficiently fast to be used in a real-time setting.

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  • Haahr, Jørgen T. & Wagenaar, Joris C. & Veelenturf, Lucas P. & Kroon, Leo G., 2016. "A comparison of two exact methods for passenger railway rolling stock (re)scheduling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 91(C), pages 15-32.
    • Handle: RePEc:eee:transe:v:91:y:2016:i:c:p:15-32
    DOI: 10.1016/j.tre.2016.03.019
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    4. Zhong, Qingwei & Lusby, Richard M. & Larsen, Jesper & Zhang, Yongxiang & Peng, Qiyuan, 2019. "Rolling stock scheduling with maintenance requirements at the Chinese High-Speed Railway," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 24-44.
    5. Peng Zhao & Yawei Li & Baoming Han & Ruixia Yang & Zhiping Liu, 2022. "Integrated Optimization of Rolling Stock Scheduling and Flexible Train Formation Based on Passenger Demand for an Intercity High-Speed Railway," Sustainability, MDPI, vol. 14(9), pages 1-22, May.
    6. Pan, Hanchuan & Yang, Lixing & Liang, Zhe, 2023. "Demand-oriented integration optimization of train timetabling and rolling stock circulation planning with flexible train compositions: A column-generation-based approach," European Journal of Operational Research, Elsevier, vol. 305(1), pages 184-206.
    7. Wagenaar, Joris & Kroon, Leo & Fragkos, Ioannis, 2017. "Rolling stock rescheduling in passenger railway transportation using dead-heading trips and adjusted passenger demand," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 140-161.
    8. Wang, Dian & D’Ariano, Andrea & Zhao, Jun & Zhan, Shuguang & Peng, Qiyuan, 2024. "Joint rolling stock rotation planning and depot deadhead scheduling in complicated urban rail transit lines," European Journal of Operational Research, Elsevier, vol. 314(2), pages 665-684.
    9. Gao, Yuan & Xia, Jun & D’Ariano, Andrea & Yang, Lixing, 2022. "Weekly rolling stock planning in Chinese high-speed rail networks," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 295-322.
    10. 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.
    11. Canca, David & Barrena, Eva, 2018. "The integrated rolling stock circulation and depot location problem in railway rapid transit systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 115-138.
    12. Pan, Hanchuan & Liu, Zhigang & Yang, Lixing & Liang, Zhe & Wu, Qiang & Li, Sijie, 2021. "A column generation-based approach for integrated vehicle and crew scheduling on a single metro line with the fully automatic operation system by partial supervision," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    13. Frisch, Sarah & Hungerländer, Philipp & Jellen, Anna & Primas, Bernhard & Steininger, Sebastian & Weinberger, Dominic, 2021. "Solving a real-world Locomotive Scheduling Problem with Maintenance Constraints," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 386-409.
    14. Liu, Xiaoyu & Dabiri, Azita & Xun, Jing & De Schutter, Bart, 2023. "Bi-level model predictive control for metro networks: Integration of timetables, passenger flows, and train speed profiles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 180(C).

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