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Equilibrium Trip Scheduling in Congested Traffic under Uncertainty

In: Transportation and Traffic Theory 2009: Golden Jubilee

Author

Listed:
  • Barbara W.Y. Siu

    (The Hong Kong University of Science and Technology)

  • Hong K. Lo

    (The Hong Kong University of Science and Technology)

Abstract

Whilst traditional modeling and research efforts put emphasis on the effect of congestion on travel choices, recently more and more studies examine the notion of travel time uncertainty on travel decision. In particular, travel time reliability forms an important component in modeling route choice and trip scheduling. This paper considers equilibrium trip scheduling under random travel delay in a single bottleneck. Travelers form a heterogeneous population with distinctive requirements on the probability of punctual arrival and each with a different valuation toward earliness and lateness. The analysis shows that random delay plays a significant role in travel costs and introduces substantial differences in the queuing pattern, departure and arrival times, as compared with the traditional deterministic model.

Suggested Citation

  • Barbara W.Y. Siu & Hong K. Lo, 2009. "Equilibrium Trip Scheduling in Congested Traffic under Uncertainty," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 147-167, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4419-0820-9_8
    DOI: 10.1007/978-1-4419-0820-9_8
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    Citations

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    Cited by:

    1. Tian, Li-Jun & Huang, Hai-Jun, 2015. "Modeling the modal split and trip scheduling with commuters’ uncertainty expectation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 815-822.
    2. Benezech, Vincent & Coulombel, Nicolas, 2013. "The value of service reliability," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 1-15.
    3. Zhaoqi Zang & Xiangdong Xu & Kai Qu & Ruiya Chen & Anthony Chen, 2022. "Travel time reliability in transportation networks: A review of methodological developments," Papers 2206.12696, arXiv.org, revised Jul 2022.
    4. Yao, Tao & Wei, Mike Mingcheng & Zhang, Bo & Friesz, Terry, 2012. "Congestion derivatives for a traffic bottleneck with heterogeneous commuters," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1454-1473.
    5. Liu, Yang & Li, Yuanyuan & Hu, Lu, 2018. "Departure time and route choices in bottleneck equilibrium under risk and ambiguity," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 774-793.
    6. Liu, Qiumin & Jiang, Rui & Liu, Ronghui & Zhao, Hui & Gao, Ziyou, 2020. "Travel cost budget based user equilibrium in a bottleneck model with stochastic capacity," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 1-37.
    7. Yao, Tao & Friesz, Terry L. & Wei, Mike Mingcheng & Yin, Yafeng, 2010. "Congestion derivatives for a traffic bottleneck," Transportation Research Part B: Methodological, Elsevier, vol. 44(10), pages 1149-1165, December.
    8. Ling-Ling Xiao & Hai-Jun Huang & Ronghui Liu, 2015. "Congestion Behavior and Tolls in a Bottleneck Model with Stochastic Capacity," Transportation Science, INFORMS, vol. 49(1), pages 46-65, February.
    9. Nicolas Coulombel & André De Palma, 2014. "Variability of Travel Time, Congestion, and the Cost of Travel," Mathematical Population Studies, Taylor & Francis Journals, vol. 21(4), pages 220-242, December.
    10. Li-Jun Tian & Hai-Jun Huang & Zi-You Gao, 2012. "A Cumulative Perceived Value-Based Dynamic User Equilibrium Model Considering the Travelers’ Risk Evaluation on Arrival Time," Networks and Spatial Economics, Springer, vol. 12(4), pages 589-608, December.
    11. Nicolas Coulombel & André de Palma, 2014. "The marginal social cost of travel time variability," Post-Print hal-01100105, HAL.

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