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Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system

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  • Tian, Qiong
  • Huang, Hai-Jun
  • Yang, Hai

Abstract

This paper analyzes the equilibrium properties of the morning peak-period commuting pattern on a many-to-one transit system with in-vehicle crowding effect and schedule delay cost in a monocentric city. Commuters are assumed to choose their optimal time-of-use decision from various stations/home locations to a single destination/workplace by trading off the travel time and crowding cost against the schedule delay cost. An equivalent mathematical programming model is proposed to characterize the equilibrium state, in which no commuter can reduce his/her total commuting cost by unilaterally changing his/her departure time or train service. Solution of the model yields many insights including the following: (1) commuters living closer to the destination choose trains also chosen by those living farther from the destination; (2) the train arriving at the time desired by everyone is utilized by commuters from all stations; (3) the farther a station is from the workplace, the longer is the peak-period departure duration from that station; (4) finally, a 'saturated' time period exists for each station during which the departure rate of commuters is identical and maximal.

Suggested Citation

  • Tian, Qiong & Huang, Hai-Jun & Yang, Hai, 2007. "Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 616-631, July.
  • Handle: RePEc:eee:transb:v:41:y:2007:i:6:p:616-631
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    References listed on IDEAS

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    Cited by:

    1. Arnott, Richard & DePalma, Elijah, 2011. "The corridor problem: Preliminary results on the no-toll equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 743-768, June.
    2. Rapoport, Amnon & Stein, William E. & Mak, Vincent & Zwick, Rami & Seale, Darryl A., 2010. "Endogenous arrivals in batch queues with constant or variable capacity," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1166-1185, December.
    3. repec:eee:juecon:v:101:y:2017:i:c:p:106-122 is not listed on IDEAS
    4. van der Weijde, Adriaan Hendrik & Verhoef, Erik T. & van den Berg, Vincent A.C., 2013. "Competition in multi-modal transport networks: A dynamic approach," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 31-44.
    5. Wang, Wei (Walker) & Wang, David Z.W. & Zhang, Fangni & Sun, Huijun & Zhang, Wenyi & Wu, Jianjun, 2017. "Overcoming the Downs-Thomson Paradox by transit subsidy policies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 95(C), pages 126-147.
    6. Tan, Zhijia & Li, Wan & Zhang, Xiaoning & Yang, Hai, 2015. "Service charge and capacity selection of an inland river port with location-dependent shipping cost and service congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 13-33.
    7. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    8. Sumalee, Agachai & Tan, Zhijia & Lam, William H.K., 2009. "Dynamic stochastic transit assignment with explicit seat allocation model," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 895-912, September.
    9. de Palma, André & Lindsey, Robin & Monchambert, Guillaume, 2017. "The economics of crowding in rail transit," Journal of Urban Economics, Elsevier, vol. 101(C), pages 106-122.
    10. de Palma, André & Kilani, Moez & Proost, Stef, 2015. "Discomfort in mass transit and its implication for scheduling and pricing," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 1-18.
    11. repec:eee:transb:v:104:y:2017:i:c:p:175-197 is not listed on IDEAS
    12. Hamdouch, Younes & Ho, H.W. & Sumalee, Agachai & Wang, Guodong, 2011. "Schedule-based transit assignment model with vehicle capacity and seat availability," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1805-1830.
    13. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
    14. 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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