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Analysis of trip cost allowing late arrival in a traffic corridor with one entry and one exit under car-following model

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  • Wang, Tao
  • Tang, Tie-Qiao
  • Chen, Liang
  • Huang, Hai-Jun

Abstract

In this paper, a generalized car-following model is proposed to investigate the trip cost of each commuter in a traffic corridor with one entry and one exit at equilibrium state. Trip cost consists of the travel time cost and the penalty cost of arriving at destination early or late. At equilibrium, all commuters experience identical trip cost regardless of their departure time. We use the full velocity difference (FVD) model to compute the trip cost of a commuter who leaves home at specific time, find a function to fit each commuter’s time headway at the equilibrium state, and verify the fitted function from different perspectives. Finally, we utilize the fitted function of time headway to explore some extension cases (e.g., the number of commuters or the first commuter’s departure time is changed). The paper has revealed some properties of the traffic corridor and proposed some methods to research the traffic corridor in deep from microscopic perspective, which can be easily extended to investigate complex traffic corridor problems and policy making.

Suggested Citation

  • Wang, Tao & Tang, Tie-Qiao & Chen, Liang & Huang, Hai-Jun, 2019. "Analysis of trip cost allowing late arrival in a traffic corridor with one entry and one exit under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 387-398.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:387-398
    DOI: 10.1016/j.physa.2019.01.038
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    Citations

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    Cited by:

    1. Madaan, Nikita & Sharma, Sapna, 2022. "Delayed-feedback control in multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    2. Yan, Chunyue & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model by considering the optimal velocity difference and electronic throttle angle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Madaan, Nikita & Sharma, Sapna, 2021. "A lattice model accounting for multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    4. Chen, Can & Ge, Hongxia & Cheng, Rongjun, 2019. "Self-stabilizing analysis of an extended car-following model with consideration of expected effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    5. Wang, Zihao & Ge, Hongxia & Cheng, Rongjun, 2020. "An extended macro model accounting for the driver’s timid and aggressive attributions and bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    6. Nikita Madaan & Sapna Sharma, 2022. "Influence of driver’s behavior with empirical lane changing on the traffic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-11, January.
    7. Jiao, Yulei & Ge, Hongxia & Cheng, Rongjun, 2019. "Nonlinear analysis for a modified continuum model considering electronic throttle (ET) and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    8. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "A car-following model considering the effect of electronic throttle opening angle over the curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    9. Weiwei Zhang & Lingling Jiang, 2021. "Effects of High-Speed Rail on Sustainable Development of Urban Tourism: Evidence from Discrete Choice Model of Chinese Tourists’ Preference for City Destinations," Sustainability, MDPI, vol. 13(19), pages 1-19, September.

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