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Arrive in Time by Train with High Probability

Author

Listed:
  • Mohammad Hossein Keyhani

    (Technische Universität Darmstadt, 64289 Darmstadt, Germany)

  • Mathias Schnee

    (Technische Universität Darmstadt, 64289 Darmstadt, Germany)

  • Karsten Weihe

    (Technische Universität Darmstadt, 64289 Darmstadt, Germany)

Abstract

Very often, a train passenger must meet a deadline at the destination, for example, to catch a plane or to arrive at an important meeting on time. Train delays and broken connections let the passenger arrive later than scheduled. Events of this kind are usually not foreseeable before the journey commences. To be on the safe side, a connection should be prebooked such that, in case the connection breaks anywhere, alternative continuations guarantee arrival prior to the deadline with acceptably high probability. For busy people, the challenge is to commence the journey as late as possible, provided the risk of failing to meet the deadline is negligible. This scenario translates into the problem to find the latest connection plus alternative continuations such that the probability of meeting the deadline is not lower than a given required probability of success (close to 100%). We present a dynamic-programming approach to this optimization problem and report on an empirical study based on comprehensive real-world data from Deutsche Bahn AG, the German national railways company. Our algorithm efficiently computes optimal results.

Suggested Citation

  • Mohammad Hossein Keyhani & Mathias Schnee & Karsten Weihe, 2017. "Arrive in Time by Train with High Probability," Transportation Science, INFORMS, vol. 51(4), pages 1122-1137, November.
    • Handle: RePEc:inm:ortrsc:v:51:y:2017:i:4:p:1122-1137
    DOI: 10.1287/trsc.2017.0758
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    References listed on IDEAS

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    1. Marc Goerigk & Marie Schmidt & Anita Schöbel & Martin Knoth & Matthias Müller-Hannemann, 2014. "The Price of Strict and Light Robustness in Timetable Information," Transportation Science, INFORMS, vol. 48(2), pages 225-242, May.
    2. Fu, Liping & Rilett, L. R., 1998. "Expected shortest paths in dynamic and stochastic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 32(7), pages 499-516, September.
    3. Nielsen, Lars Relund & Pretolani, Daniele & Andersen, Kim Allan, 2004. "K shortest paths in stochastic time-dependent networks," CORAL Working Papers L-2004-05, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    4. Tarun Rambha & Stephen D. Boyles & S. Travis Waller, 2016. "Adaptive Transit Routing in Stochastic Time-Dependent Networks," Transportation Science, INFORMS, vol. 50(3), pages 1043-1059, August.
    5. Randolph W. Hall, 1986. "The Fastest Path through a Network with Random Time-Dependent Travel Times," Transportation Science, INFORMS, vol. 20(3), pages 182-188, August.
    6. Yueyue Fan & Yu Nie, 2006. "Optimal Routing for Maximizing the Travel Time Reliability," Networks and Spatial Economics, Springer, vol. 6(3), pages 333-344, September.
    7. Yossiri Adulyasak & Patrick Jaillet, 2016. "Models and Algorithms for Stochastic and Robust Vehicle Routing with Deadlines," Transportation Science, INFORMS, vol. 50(2), pages 608-626, May.
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    Cited by:

    1. Eva König, 2020. "A review on railway delay management," Public Transport, Springer, vol. 12(2), pages 335-361, June.
    2. Agarwal, Sumit & Diao, Mi & Keppo, Jussi & Sing, Tien Foo, 2020. "Preferences of public transit commuters: Evidence from smart card data in Singapore," Journal of Urban Economics, Elsevier, vol. 120(C).
    3. König, Eva & Schön, Cornelia, 2021. "Railway delay management with passenger rerouting considering train capacity constraints," European Journal of Operational Research, Elsevier, vol. 288(2), pages 450-465.

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