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Commuter arrivals and optimal service in mass transit: Does queuing behavior at transit stops matter?

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  • Yoshida, Yuichiro

Abstract

This paper considers whether the optimal (second-best) mass-transit policy under a uniform-fare constraint is affected by passengers' queuing disciplines, by comparing the first-in-first-out (FIFO) and the random-access queuing. We analyze the problem by extending the model of mass-transit in Kraus and Yoshida (JUE(2002)) to the case of random-access queuing. The model involves the optimal number and capacity of trains as well as pricing. It is shown that, when the shadow value of a unit of waiting time exceeds that of a unit time of being late, the passengers' queuing discipline does not have any effect on the optimal (second-best) mass-transit policy including the number of trains and runs, scheduling, and pricing. If in turn, the shadow value of a unit of waiting time is smaller than that of being late, then aggregate travel costs are lower with random-access queuing than with FIFO, due to randomization of passengers' positions in a mass.

Suggested Citation

  • Yoshida, Yuichiro, 2008. "Commuter arrivals and optimal service in mass transit: Does queuing behavior at transit stops matter?," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 228-251, May.
  • Handle: RePEc:eee:regeco:v:38:y:2008:i:3:p:228-251
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    References listed on IDEAS

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    Cited by:

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    2. 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.
    3. Tang, Yili & Jiang, Yu & Yang, Hai & Nielsen, Otto Anker, 2020. "Modeling and optimizing a fare incentive strategy to manage queuing and crowding in mass transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 247-267.
    4. Hörcher, Daniel & Tirachini, Alejandro, 2021. "A review of public transport economics," Economics of Transportation, Elsevier, vol. 25(C).
    5. de Palma, André & Fosgerau, Mogens, 2013. "Random queues and risk averse users," European Journal of Operational Research, Elsevier, vol. 230(2), pages 313-320.
    6. André de Palma & Robin Lindsey & Guillaume Monchambert, 2017. "The Economics of Crowding in Public Transport," Post-Print hal-01203310, HAL.
    7. Nicolas Coulombel & Guillaume Monchambert, 2019. "Congestion, diseconomies of scale and subsidies in urban public transportation," Working Papers hal-02373768, HAL.
    8. Coulombel, Nicolas & Monchambert, Guillaume, 2023. "Diseconomies of scale and subsidies in urban public transportation," Journal of Public Economics, Elsevier, vol. 223(C).
    9. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.
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