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Analysis of bathtub congestion with continuous scheduling preference

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  • Li, Chuanyao
  • Huang, Haijun

Abstract

The bathtub model provides a vital analysis tool to capture the features of traffic jam, especially that of hypercongested traffic. For reducing the complication of analysis, previous studies adopted the constant α-β-γ preferences for travel time, arrival early and late penalties. This treatment not only destroys the continuity of user equilibrium (UE) departure rate, but also leaves out of considering the influences of continuity of schedule preference. In this paper, we investigate a specific bathtub model with continuous schedule preference (CSP) and explore the UE and social optimum (SO) solutions. Analytical and numerical results show that the introduction of CSP lets departure rate continuous. In the UE state, it results in traffic congestion being more costly and duration of hypercongestion being longer than existing bathtub models. In the SO state, the system cost becomes lower. Our study extends the knowledge about bathtub models and provides more insight into downtown traffic congestion.

Suggested Citation

  • Li, Chuanyao & Huang, Haijun, 2019. "Analysis of bathtub congestion with continuous scheduling preference," Research in Transportation Economics, Elsevier, vol. 75(C), pages 45-54.
    • Handle: RePEc:eee:retrec:v:75:y:2019:i:c:p:45-54
    DOI: 10.1016/j.retrec.2019.05.002
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    Cited by:

    1. Zhao, Chuan-Lin & Wu, Hai-Juan & Sun, Yang-Qi & Wu, Hao-Qiu & Niu, Dong-Bao, 2024. "A bathtub model with nonlinear velocity–density relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    2. Zhu, Tingting & Li, Yao & Long, Jiancheng, 2022. "Departure time choice equilibrium and tolling strategies for a bottleneck with continuous scheduling preference," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    3. Bao, Yue & Verhoef, Erik T. & Koster, Paul, 2021. "Leaving the tub: The nature and dynamics of hypercongestion in a bathtub model with a restricted downstream exit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    4. Fu, Yulan & Wang, Chenlan & Liu, Tian-Liang & Huang, Hai-Jun, 2021. "Parking management in the morning commute problem with ridesharing," Research in Transportation Economics, Elsevier, vol. 90(C).
    5. Lu, Xiao-Shan & Guo, Ren-Yong & Huang, Hai-Jun & Xu, Xiaoming & Chen, Jiajia, 2021. "Equilibrium analysis of parking for integrated daily commuting," Research in Transportation Economics, Elsevier, vol. 90(C).

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    More about this item

    Keywords

    Bathtub model; Hypercongestion; User equilibrium; Social optimum; Continuous schedule preference;
    All these keywords.

    JEL classification:

    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
    • R48 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government Pricing and Policy

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