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State of the art overview on automatic railway timetable generation and optimization

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  • Reisch, Julian

Abstract

In railway transportation, each train needs to have a timetable that specifies which track at which time will be occupied by it. This task can be addressed by automatization techniques both in generating a timetable and in optimizing an existing one. In this paper, we give an overview on the state of the art of these techniques. We study the computation of a technically valid slot for a train that guarantees a (short) spatial and temporal way through the network. Furthermore, the construction of a cyclic timetable where trains operate e.g. every 60 minutes, and the simultaneous construction of timetables for multiple trains are considered in this paper. Finally, timetables also need to be robust against minor delays. We will review the state of the art in the literature for these aspects of railway timetabling with respect to models, solution algorithms, complexity results and applications in practice.

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  • Reisch, Julian, 2020. "State of the art overview on automatic railway timetable generation and optimization," Discussion Papers 2020/20, Free University Berlin, School of Business & Economics.
    • Handle: RePEc:zbw:fubsbe:202020
    DOI: 10.17169/refubium-28658
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    References listed on IDEAS

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    1. Julian Reisch & Natalia Kliewer, 2020. "Black-Box Optimization in Railway Simulations," Operations Research Proceedings, in: Janis S. Neufeld & Udo Buscher & Rainer Lasch & Dominik Möst & Jörn Schönberger (ed.), Operations Research Proceedings 2019, pages 717-723, Springer.
    2. Christian Liebchen, 2008. "The First Optimized Railway Timetable in Practice," Transportation Science, INFORMS, vol. 42(4), pages 420-435, November.
    3. Gábor Maróti, 2017. "A branch-and-bound approach for robust railway timetabling," Public Transport, Springer, vol. 9(1), pages 73-94, July.
    4. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
    5. Huisman, Tijs & Boucherie, Richard J., 2001. "Running times on railway sections with heterogeneous train traffic," Transportation Research Part B: Methodological, Elsevier, vol. 35(3), pages 271-292, March.
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    Keywords

    Operations Research; Public Transport; Railway Timetabling;
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