IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v609y2023ics0378437122008846.html
   My bibliography  Save this article

A bi-directional visual angle car-following model considering collision sensitivity

Author

Listed:
  • Zhang, Xiangzhou
  • Shi, Zhongke
  • Chen, Jianzhong
  • Ma, lijing

Abstract

From the perspective of driver’s visual characteristics, the potential collision conflicts in car-following and lane-changing driving behaviors are analyzed. On this basis, a bi-directional visual angle car-following model considering the collision sensitivity is proposed. The effect of collision sensitivity coefficient, the proportion of backward-looking visual angle, and many types of vehicles on the dynamics and safety of the newly proposed model is explored. A linear local stability analysis was carried out by perturbation analysis, and the critical stability condition of the improved model was deduced. The evolution of small perturbation during the car-following and lane-changing process is numerically simulated. The same conclusion as the linear stability analysis is obtained: The driver observes different types of vehicles in the vehicle queue through the bi-directional visual angle as feedback stimuli, so as to optimize the velocity and perceive potential collision conflicts, which has significant practical significance for improving the stability of the traffic system and alleviating traffic congestion. Besides, the safety of the new model is evaluated by the improved visual time-to-collision (TTC) index. The results show that the newly introduced factors can effectively reduce the potential collision risk in multiple scenarios.

Suggested Citation

  • Zhang, Xiangzhou & Shi, Zhongke & Chen, Jianzhong & Ma, lijing, 2023. "A bi-directional visual angle car-following model considering collision sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008846
    DOI: 10.1016/j.physa.2022.128326
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122008846
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.128326?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jin, Sheng & Wang, Dian-Hai & Huang, Zhi-Yi & Tao, Peng-Fei, 2011. "Visual angle model for car-following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 1931-1940.
    2. 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.
    3. Jia, Dongyao & Ngoduy, Dong, 2016. "Enhanced cooperative car-following traffic model with the combination of V2V and V2I communication," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 172-191.
    4. Liu, Lan & Zhu, Liling & Yang, Da, 2016. "Modeling and simulation of the car-truck heterogeneous traffic flow based on a nonlinear car-following model," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 706-717.
    5. Ge, Hong-xia & Meng, Xiang-pei & Zhu, Hui-bing & Li, Zhi-Peng, 2014. "Feedback control for car following model based on two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 28-39.
    6. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    7. Robert E. Chandler & Robert Herman & Elliott W. Montroll, 1958. "Traffic Dynamics: Studies in Car Following," Operations Research, INFORMS, vol. 6(2), pages 165-184, April.
    8. Li, Shihao & Cheng, Rongjun & Ge, Hongxia, 2020. "An improved car-following model considering electronic throttle dynamics and delayed velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    9. Shihao Li & Ting Wang & Rongjun Cheng & Hongxia Ge, 2020. "An Extended Car-Following Model considering the Driver’s Desire for Smooth Driving and Self-Stabilizing Control with Velocity Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-17, August.
    10. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    11. 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.
    12. Tan, Jin-hua, 2019. "Impact of risk illusions on traffic flow in fog weather," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 216-222.
    13. Vranken, Tim & Sliwa, Benjamin & Wietfeld, Christian & Schreckenberg, Michael, 2021. "Adapting a cellular automata model to describe heterogeneous traffic with human-driven, automated, and communicating automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    14. 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).
    15. Zheng, Liang & Zhong, Shiquan & Jin, Peter J. & Ma, Shoufeng, 2012. "Influence of lateral discomfort on the stability of traffic flow based on visual angle car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5948-5959.
    16. Yu, Shaowei & Shi, Zhongke, 2015. "An improved car-following model considering headway changes with memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 1-14.
    17. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    18. Bingmei Jia & Da Yang & Xiaobo Zhang & Yuezhu Wu & Qian Guo, 2020. "Car-following model considering the lane-changing prevention effect and its stability analysis," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(8), pages 1-9, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Jing & Liu, Di & Baldi, Simone, 2024. "Modular nudging models: Formulation and identification from real-world traffic data sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    2. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    3. Zhang, Xiangzhou & Shi, Zhongke & Yang, Qiaoli & An, Xiaodong, 2024. "Impacts of visuo-spatial working memory on the dynamic performance and safety of car-following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    4. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiang, Nan & Yu, Bin & Cao, Feng & Dang, Pengfei & Cui, Shaohua, 2021. "An extended visual angle car-following model considering the vehicle types in the adjacent lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. 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.
    3. Zhang, Xiangzhou & Shi, Zhongke & Yang, Qiaoli & An, Xiaodong, 2024. "Impacts of visuo-spatial working memory on the dynamic performance and safety of car-following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    4. Hongxing Zhao & Ruichun He & Xiaoyan Jia, 2019. "Estimation and Analysis of Vehicle Exhaust Emissions at Signalized Intersections Using a Car-Following Model," Sustainability, MDPI, vol. 11(14), pages 1-25, July.
    5. Junyan Han & Jinglei Zhang & Xiaoyuan Wang & Yaqi Liu & Quanzheng Wang & Fusheng Zhong, 2020. "An Extended Car-Following Model Considering Generalized Preceding Vehicles in V2X Environment," Future Internet, MDPI, vol. 12(12), pages 1-15, November.
    6. Yu, Bin & Zhou, Huixin & Wang, Lin & Wang, Zirui & Cui, Shaohua, 2021. "An extended two-lane car-following model considering the influence of heterogeneous speed information on drivers with different characteristics under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    7. Li, Xiaopeng & Wang, Xin & Ouyang, Yanfeng, 2012. "Prediction and field validation of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 409-423.
    8. Zhang, H.M. & Kim, T., 2005. "A car-following theory for multiphase vehicular traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 39(5), pages 385-399, June.
    9. Wang, Xiaoning & Liu, Minzhuang & Ci, Yusheng & Wu, Lina, 2022. "Effect of front two adjacent vehicles’ velocity information on car-following model construction and stability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    10. Yifan Pan & Yongjiang Wang & Baobin Miao & Rongjun Cheng, 2022. "Stabilization Strategy of a Novel Car-Following Model with Time Delay and Memory Effect of the Driver," Sustainability, MDPI, vol. 14(12), pages 1-20, June.
    11. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    12. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    13. Jiang, Rui & Hu, Mao-Bin & Zhang, H.M. & Gao, Zi-You & Jia, Bin & Wu, Qing-Song, 2015. "On some experimental features of car-following behavior and how to model them," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 338-354.
    14. Kun Zhang & Yu Xue & Hao-Jie Luo & Qiang Zhang & Yuan Tang & Bing-Ling Cen, 2023. "Cyber-attacks on the optimal velocity and its variation by bifurcation analyses," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(12), pages 1-19, December.
    15. Ponnu, Balaji & Coifman, Benjamin, 2015. "Speed-spacing dependency on relative speed from the adjacent lane: New insights for car following models," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 74-90.
    16. Li, Xiaopeng & Cui, Jianxun & An, Shi & Parsafard, Mohsen, 2014. "Stop-and-go traffic analysis: Theoretical properties, environmental impacts and oscillation mitigation," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 319-339.
    17. Qi, Weiwei & Ma, Siwei & Fu, Chuanyun, 2023. "An improved car-following model considering the influence of multiple preceding vehicles in the same and two adjacent lanes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P2).
    18. Cheng, Qixiu & Liu, Zhiyuan & Lin, Yuqian & Zhou, Xuesong (Simon), 2021. "An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship," Transportation Research Part B: Methodological, Elsevier, vol. 153(C), pages 246-271.
    19. Jinhua Tan & Li Gong & Xuqian Qin, 2019. "Effect of Imitation Phenomenon on Two-Lane Traffic Safety in Fog Weather," IJERPH, MDPI, vol. 16(19), pages 1-15, October.
    20. Piyush Dhawankar & Prashant Agrawal & Bilal Abderezzak & Omprakash Kaiwartya & Krishna Busawon & Maria Simona Raboacă, 2021. "Design and Numerical Implementation of V2X Control Architecture for Autonomous Driving Vehicles," Mathematics, MDPI, vol. 9(14), pages 1-24, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008846. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.