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

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Author Info

  • 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.

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Bibliographic Info

Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 41 (2007)
Issue (Month): 6 (July)
Pages: 616-631

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Handle: RePEc:eee:transb:v:41:y:2007:i:6:p:616-631

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References

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  1. Alfa, Attahiru Sule & Chen, Mingyuan, 1995. "Temporal distribution of public transport demand during the peak period," European Journal of Operational Research, Elsevier, vol. 83(1), pages 137-153, May.
  2. Kraus, Marvin & Yoshida, Yuichiro, 2002. "The Commuter's Time-of-Use Decision and Optimal Pricing and Service in Urban Mass Transit," Journal of Urban Economics, Elsevier, vol. 51(1), pages 170-195, January.
  3. Sumi, Tomonori & Matsumoto, Yoshiji & Miyaki, Yasuyuki, 1990. "Departure time and route choice of commuters on mass transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 24(4), pages 247-262, August.
  4. Kraus, Marvin, 2003. "A new look at the two-mode problem," Journal of Urban Economics, Elsevier, vol. 54(3), pages 511-530, November.
  5. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  6. Ross, Stephen L. & Yinger, John, 2000. "Timing Equilibria in an Urban Model with Congestion," Journal of Urban Economics, Elsevier, vol. 47(3), pages 390-413, May.
  7. Wang, Judith Y. T. & Yang, Hai & Lindsey, Robin, 2004. "Locating and pricing park-and-ride facilities in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 38(8), pages 709-731, September.
  8. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
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Cited by:
  1. Adriaan Hendrik van der Weijde & Erik T. Verhoef & Vincent van den Berg, 2012. "Competition in Multi-Modal Transport Networks: A Dynamic Approach," Tinbergen Institute Discussion Papers 12-116/VIII, Tinbergen Institute.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. Adriaan Hendrik van der Weijde & Erik T. Verhoef & Vincent van den Berg, 2012. "Competition in Multi-Modal Transport Networks: A Dynamic Approach," Tinbergen Institute Discussion Papers 12-116/VIII, Tinbergen Institute.

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