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Models of Bus Queueing at Curbside Stops

Author

Listed:
  • Weihua Gu

    (Department of Electrical Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong)

  • Michael J. Cassidy

    (Department of Civil and Environmental Engineering, University of California, Berkeley, Berkeley, California 94720)

  • Yuwei Li

    (College of Transport and Communications, Shanghai Maritime University, Shanghai 201306, China)

Abstract

We consider curbside bus stops of the kind that serve multiple bus routes and that are isolated from the effects of traffic signals and other stops. A Markov chain embedded in the bus queueing process is used to develop steady-state queueing models of this stop type, as illustrated by two special cases. The models estimate the maximum number of buses that can arrive at and serve a stop and still satisfy a specified target of average bus delay. These models can be used to determine, for example, a stop’s suitable number of bus berths, given the bus demand and the specified delay target. The solutions for the two cases are used to derive a closed-form, parsimonious approximation model for general cases. This approximation matches simulations reasonably well for many conditions that arise in real settings; differences of less than 10% were common. Our results unveil how suitable choices for the number of bus berths are influenced by both the variation in the time that buses spend serving passengers at the stop and the specified delay target. The models further show why the proxy measure commonly used for the delay target in previous bus stop studies is a poor one.

Suggested Citation

  • Weihua Gu & Michael J. Cassidy & Yuwei Li, 2015. "Models of Bus Queueing at Curbside Stops," Transportation Science, INFORMS, vol. 49(2), pages 204-212, May.
    • Handle: RePEc:inm:ortrsc:v:49:y:2015:i:2:p:204-212
    DOI: 10.1287/trsc.2014.0537
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    References listed on IDEAS

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    1. Gu, Weihua & Cassidy, Michael J., 2013. "Maximizing bus discharge flows from multi-berth stops by regulating exit maneuvers," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 254-264.
    2. Gu, Weihua & Cassidy, Michael J. & Li, Yuwei, 2012. "On the capacity of highway checkpoints: Models for unconventional configurations," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1308-1321.
    3. Gu, Weihua & Li, Yuwei & Cassidy, Michael J. & Griswold, Julia B., 2011. "On the capacity of isolated, curbside bus stops," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 714-723, May.
    4. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
    5. Rodrigo Fernandez & Rosemarie Planzer, 2002. "On the capacity of bus transit systems," Transport Reviews, Taylor & Francis Journals, vol. 22(3), pages 267-293, January.
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    Cited by:

    1. Hu, Sangen & Shen, Minyu & Gu, Weihua, 2023. "Impacts of bus overtaking policies on the capacity of bus stops," Transportation Research Part A: Policy and Practice, Elsevier, vol. 173(C).
    2. Shen, Minyu & Gu, Weihua & Hu, Sangen & Cheng, Han, 2019. "Capacity approximations for near- and far-side bus stops in dedicated bus lanes," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 94-120.
    3. Lu Liu & Zhanglei Bian & Qinghui Nie, 2022. "Finding the Optimal Bus-Overtaking Rules for Bus Stops with Two Tandem Berths," Sustainability, MDPI, vol. 14(9), pages 1-14, April.
    4. Bai, Qiaowen & Ong, Ghim Ping, 2023. "Similarity-based bus services assignment with capacity constraint for staggered bus stops," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
    5. Jihui Ma & Yanqing Zhao & Yang Yang & Tao Liu & Wei Guan & Jiao Wang & Cuiying Song, 2017. "A Model for the Stop Planning and Timetables of Customized Buses," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-28, January.

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