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Frequency-based transit assignment considering seat capacities

Author

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  • Schmöcker, Jan-Dirk
  • Fonzone, Achille
  • Shimamoto, Hiroshi
  • Kurauchi, Fumitaka
  • Bell, Michael G.H.

Abstract

This paper proposes a frequency-based assignment model that considers travellers probability of finding a seat in their perception of route cost and hence also their route choice. The model introduces a "fail-to-sit" probability at boarding points with travel costs based on the likelihood of travelling seated or standing. Priority rules are considered; in particular it is assumed that standing on-board passengers will occupy any available seats of alighting passengers before newly boarding passengers can fill any remaining seats. At the boarding point passengers are assumed to mingle, meaning that FIFO is not observed, as is the case for many crowded bus and metro stops, particularly in European countries. The route choice considers the common lines problem and an user equilibrium solution is sought through a Markov type network loading process and the method of successive averages. The model is first illustrated with a small example network before being applied to the inner zone of London's underground network. The effect of different values passengers might attach to finding a seat are illustrated. Applications of the model for transit planning as well as for information provision at the journey planner stage are discussed.

Suggested Citation

  • Schmöcker, Jan-Dirk & Fonzone, Achille & Shimamoto, Hiroshi & Kurauchi, Fumitaka & Bell, Michael G.H., 2011. "Frequency-based transit assignment considering seat capacities," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 392-408, February.
  • Handle: RePEc:eee:transb:v:45:y:2011:i:2:p:392-408
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    References listed on IDEAS

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    Cited by:

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    14. 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.
    15. Kang, Liujiang & Wu, Jianjun & Sun, Huijun & Zhu, Xiaoning & Gao, Ziyou, 2015. "A case study on the coordination of last trains for the Beijing subway network," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 112-127.
    16. Jiang, Y. & Szeto, W.Y., 2016. "Reliability-based stochastic transit assignment: Formulations and capacity paradox," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 181-206.
    17. Fan, Yinchao & Ding, Jianxun & Liu, Haoxiang & Wang, Yu & Long, Jiancheng, 2022. "Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    18. Ibarra-Rojas, O.J. & Delgado, F. & Giesen, R. & Muñoz, J.C., 2015. "Planning, operation, and control of bus transport systems: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 38-75.
    19. Schelenz, Tomasz & Suescun, Ángel & Karlsson, MariAnne & Wikström, Li, 2013. "Decision making algorithm for bus passenger simulation during the vehicle design process," Transport Policy, Elsevier, vol. 25(C), pages 178-185.
    20. Cats, Oded & West, Jens & Eliasson, Jonas, 2015. "Appraisal of increased public transport capacity: the case of a new metro line to Nacka, Sweden," Working papers in Transport Economics 2015:2, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    21. Hamdouch, Younes & Szeto, W.Y. & Jiang, Y., 2014. "A new schedule-based transit assignment model with travel strategies and supply uncertainties," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 35-67.
    22. Cats, Oded & West, Jens & Eliasson, Jonas, 2016. "A dynamic stochastic model for evaluating congestion and crowding effects in transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 43-57.
    23. Mo, Baichuan & Koutsopoulos, Haris N. & Shen, Zuo-Jun Max & Zhao, Jinhua, 2023. "Robust path recommendations during public transit disruptions under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 82-107.
    24. Li, Qianfei & (Will) Chen, Peng & (Marco) Nie, Yu, 2015. "Finding optimal hyperpaths in large transit networks with realistic headway distributions," European Journal of Operational Research, Elsevier, vol. 240(1), pages 98-108.
    25. Wang, Shuaian & Qu, Xiaobo, 2017. "Station choice for Australian commuter rail lines: Equilibrium and optimal fare design," European Journal of Operational Research, Elsevier, vol. 258(1), pages 144-154.

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