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A direct comparison of physical block occupancy versus timed block occupancy in train timetabling formulations

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  • Harrod, Steven
  • Schlechte, Thomas

Abstract

Two fundamental mathematical formulations for railway timetabling are compared on a common set of sample problems, representing both multiple track high density services in Europe and single track bidirectional operations in North America. One formulation, ACP, enforces against conflicts by constraining time intervals between trains, while the other formulation, RCHF, monitors physical occupation of controlled track segments. The results demonstrate that both ACP and RCHF return comparable solutions in the aggregate, with some significant differences in select instances, and a pattern of significant differences in performance and constraint enforcement overall.

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  • Harrod, Steven & Schlechte, Thomas, 2013. "A direct comparison of physical block occupancy versus timed block occupancy in train timetabling formulations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 50-66.
    • Handle: RePEc:eee:transe:v:54:y:2013:i:c:p:50-66
    DOI: 10.1016/j.tre.2013.04.003
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    References listed on IDEAS

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    Cited by:

    1. Masoud Barah & Abbas Seifi & James Ostrowski, 2019. "Decomposing the Train-Scheduling Problem into Integer-Optimal Polytopes," Transportation Science, INFORMS, vol. 53(3), pages 763-772, May.
    2. Line Blander Reinhardt & David Pisinger & Richard Lusby, 2018. "Railway capacity and expansion analysis using time discretized paths," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 712-739, December.
    3. Cacchiani, Valentina & Furini, Fabio & Kidd, Martin Philip, 2016. "Approaches to a real-world Train Timetabling Problem in a railway node," Omega, Elsevier, vol. 58(C), pages 97-110.
    4. Perennes, Patricia, 2014. "Use of combinatorial auctions in the railway industry: Can the “invisible hand” draw the railway timetable?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 67(C), pages 175-187.

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