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Trip-Based Path Algorithms Using the Transit Network Hierarchy

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  • Alireza Khani
  • Mark Hickman
  • Hyunsoo Noh

Abstract

In this paper, we propose a new network representation for modeling schedule-based transit systems. The proposed network representation, called trip-based, uses transit vehicle trips as network edges and takes into account the transfer stop hierarchy in transit networks. Based on the trip-based network, we propose a set of path algorithms for schedule-based transit networks, including algorithms for the shortest path, a logit-based hyperpath, and a transit A*. The algorithms are applied to a large-scale transit network and shown to have better computational performance compared to the existing labeling algorithms. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Alireza Khani & Mark Hickman & Hyunsoo Noh, 2015. "Trip-Based Path Algorithms Using the Transit Network Hierarchy," Networks and Spatial Economics, Springer, vol. 15(3), pages 635-653, September.
  • Handle: RePEc:kap:netspa:v:15:y:2015:i:3:p:635-653
    DOI: 10.1007/s11067-014-9249-3
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    References listed on IDEAS

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    Cited by:

    1. Kai Lu & Tao Tang & Chunhai Gao, 2020. "The Depth-First Optimal Strategy Path Generation Algorithm for Passengers in a Metro Network," Sustainability, MDPI, vol. 12(13), pages 1-16, July.
    2. Chen, Bi Yu & Chen, Xiao-Wei & Chen, Hui-Ping & Lam, William H.K., 2020. "Efficient algorithm for finding k shortest paths based on re-optimization technique," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    3. Khani, Alireza, 2019. "An online shortest path algorithm for reliable routing in schedule-based transit networks considering transfer failure probability," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 549-564.
    4. 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.
    5. Yongqiu Zhu & Rob M. P. Goverde, 2019. "Dynamic Passenger Assignment for Major Railway Disruptions Considering Information Interventions," Networks and Spatial Economics, Springer, vol. 19(4), pages 1249-1279, December.
    6. András Bóta & Lauren M. Gardner & Alireza Khani, 2017. "Identifying Critical Components of a Public Transit System for Outbreak Control," Networks and Spatial Economics, Springer, vol. 17(4), pages 1137-1159, December.
    7. S. Mahmassani, Hani & F. Hyland, Michael, 2016. "Gap-based transit assignment algorithm with vehicle capacity constraints: Simulation-based implementation and large-scale applicationAuthor-Name: Verbas, Ömer," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 1-16.
    8. Xin Zhang & Lei Nie & Xin Wu & Yu Ke, 2020. "How to Optimize Train Stops under Diverse Passenger Demand: a New Line Planning Method for Large-Scale High-Speed Rail Networks," Networks and Spatial Economics, Springer, vol. 20(4), pages 963-988, December.
    9. Peftitsi, Soumela & Jenelius, Erik & Cats, Oded, 2022. "Modeling the effect of real-time crowding information (RTCI) on passenger distribution in trains," Transportation Research Part A: Policy and Practice, Elsevier, vol. 166(C), pages 354-368.
    10. Tomhave, Benjamin J. & Khani, Alireza, 2022. "Refined choice set generation and the investigation of multi-criteria transit route choice behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 155(C), pages 484-500.
    11. László Hajdu & András Bóta & Miklós Krész & Alireza Khani & Lauren M. Gardner, 2020. "Discovering the Hidden Community Structure of Public Transportation Networks," Networks and Spatial Economics, Springer, vol. 20(1), pages 209-231, March.
    12. Mohammad Nurul Hassan & Taha Hossein Rashidi & Neema Nassir, 2021. "Consideration of different travel strategies and choice set sizes in transit path choice modelling," Transportation, Springer, vol. 48(2), pages 723-746, April.
    13. Zhang, Yu & Tang, Jiafu, 2018. "Itinerary planning with time budget for risk-averse travelers," European Journal of Operational Research, Elsevier, vol. 267(1), pages 288-303.

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