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Stochastic on-time arrival problem in transit networks

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  • Liu, Yang
  • Blandin, Sebastien
  • Samaranayake, Samitha

Abstract

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space due to the unknown ordering of transit line arrivals. We propose a network structure appropriate to the online decision-making of a passenger, including boarding, waiting and transferring. In this framework, we design a dynamic programming algorithm that is pseudo-polynomial in the number of transit stations and travel time budget, and exponential in the number of transit lines at a station, which is a small number in practice. To reduce the search space, we propose a definition of transit line dominance, and techniques to identify dominance, which decrease the computation time by up to 90% in numerical experiments. Extensive numerical experiments are conducted on both a synthetic network and the Chicago transit network.

Suggested Citation

  • Liu, Yang & Blandin, Sebastien & Samaranayake, Samitha, 2019. "Stochastic on-time arrival problem in transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 122-138.
    • Handle: RePEc:eee:transb:v:119:y:2019:i:c:p:122-138
    DOI: 10.1016/j.trb.2018.11.013
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    Cited by:

    1. Pramesh Kumar & Alireza Khani, 2021. "Adaptive Park-and-ride Choice on Time-dependent Stochastic Multimodal Transportation Network," Networks and Spatial Economics, Springer, vol. 21(4), pages 771-800, December.
    2. Michael Redmond & Ann Melissa Campbell & Jan Fabian Ehmke, 2020. "Data-driven planning of reliable itineraries in multi-modal transit networks," Public Transport, Springer, vol. 12(1), pages 171-205, March.
    3. López, David & Lozano, Angélica, 2020. "Shortest hyperpaths in a multimodal hypergraph with real-time information on some transit lines," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 541-559.
    4. Prateek Bansal & Yang Liu & Ricardo Daziano & Samitha Samaranayake, 2019. "Can Mobility-on-Demand services do better after discerning reliability preferences of riders?," Papers 1904.07987, arXiv.org.

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