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Morning commute in a single-entry traffic corridor with early and late arrivals

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  • Li, Chuan-Yao
  • Huang, Hai-Jun

Abstract

The purpose of this paper is to extend the work of DePalma and Arnott (2012) by investigating the solutions for social optimum (SO) and user equilibrium (UE) assignment in a single-entry traffic corridor with consideration of both early and late arrivals. The LWR model and the Greenshields’ relation are used to describe the dynamic properties of traffic flow. The closed-form SO solution and quasi-analytic UE solution are developed and well illustrated by numerical examples. It is shown that the SO assignment is associated with a smooth cumulative outflow curve, while the UE assignment will result in recursively generated cumulative inflow and outflow curves. In UE, however, the system finally becomes a free flow state.

Suggested Citation

  • Li, Chuan-Yao & Huang, Hai-Jun, 2017. "Morning commute in a single-entry traffic corridor with early and late arrivals," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 23-49.
    • Handle: RePEc:eee:transb:v:97:y:2017:i:c:p:23-49
    DOI: 10.1016/j.trb.2016.11.008
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    Cited by:

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    4. Li, Wei-Hong & Huang, Hai-Jun & Shang, Hua-Yan, 2020. "Dynamic equilibrium commuting in a multilane system with ridesharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
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    6. Li, Chuan-Yao & Xu, Guang-Ming & Tang, Tie-Qiao, 2018. "Social optimum for evening commute in a single-entry traffic corridor with no early departures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 236-247.
    7. Fu, Haoran & Akamatsu, Takashi & Satsukawa, Koki & Wada, Kentaro, 2022. "Dynamic traffic assignment in a corridor network: Optimum versus equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 218-246.
    8. Ren, Tao & Huang, Hai-Jun, 2020. "A competitive system with transit and highway: Revisiting the political feasibility of road pricing," Transport Policy, Elsevier, vol. 88(C), pages 42-56.
    9. Wang, Jing-Peng & Huang, Hai-Jun & (Jeff) Ban, Xuegang, 2019. "Optimal capacity allocation for high occupancy vehicle (HOV) lane in morning commute," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 354-361.
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