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Dynamic performance and safety analysis of car-following models considering collision sensitivity

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  • Jiao, Shuaiyang
  • Zhang, Shengrui
  • Zhou, Bei
  • Zhang, Lei
  • Xue, Liyuan

Abstract

Car-following behavior is strongly related to the dynamic performance and safety of vehicles, and these behaviors must be studied more comprehensively. This study first quantitatively analyzes the relationship between time to collision and car-following behavior, and then proposes the concept of collision sensitivity coefficient. Based on the full velocity difference model, we introduce the collision sensitivity coefficient into the car-following model to explore its effect on vehicle dynamic performance and safety from a different perspective. The stability of traffic flow is investigated using linear stability theory and obtain the neutral stability condition of the proposed model. Numerical simulation results show that the proposed model can improve the stability of traffic flow and successfully suppress traffic jams. The computation results using various safety evaluation indicators reveal that the proposed model not only has better dynamic performance than the full velocity difference model but also can effectively improve the safety of vehicles. We conclude that collision sensitivity substantially affects car-following behavior.

Suggested Citation

  • Jiao, Shuaiyang & Zhang, Shengrui & Zhou, Bei & Zhang, Lei & Xue, Liyuan, 2021. "Dynamic performance and safety analysis of car-following models considering collision sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
  • Handle: RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120308025
    DOI: 10.1016/j.physa.2020.125504
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    References listed on IDEAS

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    1. Denos C. Gazis & Robert Herman & Richard W. Rothery, 1961. "Nonlinear Follow-the-Leader Models of Traffic Flow," Operations Research, INFORMS, vol. 9(4), pages 545-567, August.
    2. Tang, Tie-Qiao & Zhang, Jian & Chen, Liang & Shang, Hua-Yan, 2017. "Analysis of vehicle’s safety envelope under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 127-133.
    3. Shuaiyang Jiao & Shengrui Zhang & Bei Zhou & Zixuan Zhang & Liyuan Xue, 2020. "An Extended Car-Following Model Considering the Drivers’ Characteristics under a V2V Communication Environment," Sustainability, MDPI, vol. 12(4), pages 1-18, February.
    4. Yu, Shaowei & Shi, Zhongke, 2014. "An extended car-following model at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 152-159.
    5. Zhang, Jian & Tang, Tie-Qiao & Yu, Shao-Wei, 2018. "An improved car-following model accounting for the preceding car’s taillight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1831-1837.
    6. Yu, Shaowei & Huang, Mengxing & Ren, Jia & Shi, Zhongke, 2016. "An improved car-following model considering velocity fluctuation of the immediately ahead car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 1-17.
    7. X. Zhao & Z. Gao, 2005. "A new car-following model: full velocity and acceleration difference model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(1), pages 145-150, September.
    8. L. J. Wang & H. Zhang & H. D. Meng & X. Q. Wang, 2008. "A model based on TTC to describe how drivers controltheir vehicles," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 66(1), pages 149-153, November.
    9. Zhang, Jing & Wang, Bo & Li, Shubin & Sun, Tao & Wang, Tao, 2020. "Modeling and application analysis of car-following model with predictive headway variation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    10. Cao, Bao-gui, 2020. "A car-following dynamic model with headway memory and evolution trend," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
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    Cited by:

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    2. Torkashvand, Mojtaba Bahrami & Aghayan, Iman & Qin, Xiao & Hadadi, Farhad, 2022. "An extended dynamic probabilistic risk approach based on a surrogate safety measure for rear-end collisions on two-lane roads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    3. Zhang, Xiangzhou & Shi, Zhongke & Yu, Shaowei & Ma, Lijing, 2023. "A new car-following model considering driver’s desired visual angle on sharp curves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    4. Wu, Zhibei & Sun, Jitao & Xu, Ruihua, 2021. "Consensus-based connected vehicles platoon control via impulsive control method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    5. Maosheng Li & Jing Fan & Jaeyoung Lee, 2023. "Modeling Car-Following Behavior with Different Acceptable Safety Levels," Sustainability, MDPI, vol. 15(7), pages 1-23, April.

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