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Analysis of the equilibrium trip cost without late arrival and the corresponding traffic properties using a car-following model

Author

Listed:
  • Tang, Tie-Qiao
  • Chen, Liang
  • Huang, Hai-Jun
  • Song, Ziqi

Abstract

In this paper, we first apply a generalized car-following model to study the commuter trip cost without late arrival from an analytical perspective; and then use the full velocity difference (FVD) model to verify the analytical results and explore the corresponding traffic properties from a numerical perspective. Finally, we explore the evolutions of traffic flow on a road with an open boundary under three traffic situations (i.e., the number of commuters is low, moderate, and high) and find that the evolution of traffic flow is related to the number of commuters. The numerical results are qualitatively consistent with the analytical results and illustrate that car-following models can be used to study each commuter’s trip cost without late arrival and that the car-following model can accurately quantify each commuter’s trip cost.

Suggested Citation

  • Tang, Tie-Qiao & Chen, Liang & Huang, Hai-Jun & Song, Ziqi, 2016. "Analysis of the equilibrium trip cost without late arrival and the corresponding traffic properties using a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 348-360.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:348-360
    DOI: 10.1016/j.physa.2016.05.038
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    Citations

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    Cited by:

    1. Chen, Dong & Sun, Dihua & Zhao, Min & Zhou, Tong & Cheng, Senlin, 2018. "Modeling and analyses for an extended car-following model accounting for drivers’ situation awareness from cyber physical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 52-68.
    2. Sun, Dihua & Chen, Dong & Zhao, Min & Liu, Weining & Zheng, Linjiang, 2018. "Linear stability and nonlinear analyses of traffic waves for the general nonlinear car-following model with multi-time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 293-307.
    3. He, Jia & He, Zhengbing & Fan, Bo & Chen, Yanyan, 2020. "Optimal location of lane-changing warning point in a two-lane road considering different traffic flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Bao, Ji & Chen, Qun & Luo, Dandan & Wu, Yuli & Liang, Zuli, 2018. "Exploring the impact of signal types and adjacent vehicles on drivers’ choices after the onset of yellow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 222-236.
    5. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
    6. Zeng, Jiao-Yan & Ou, Hui & Tang, Tie-Qiao, 2019. "Feedback strategy with delay in a two-route traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    7. Leng, Jun-Qiang & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 761-766.
    8. Leng, Jun-Qiang & Liu, Wei-Yi & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost allowing late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 293-300.
    9. Wang, Pengcheng & Yu, Guizhen & Wu, Xinkai & Qin, Hongmao & Wang, Yunpeng, 2018. "An extended car-following model to describe connected traffic dynamics under cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 351-370.

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