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Modeling of driving risk fields considering vehicle-lane interactions and its application in car-following model

Author

Listed:
  • Ma, Zhenqiang
  • Zhang, Hongjuan
  • Hong, Chengzhi
  • Xu, Si
  • Zhang, Disheng
  • Zhou, Jian
  • Chen, Zhijun
  • Li, Bijun

Abstract

Driving risk situation awareness is essential for the decision-making and planning of connected vehicles. However, existing driving risk models are difficult to comprehensively describe real-time dynamic evolution and spatial migration of the risk distribution. We propose a unified dynamic driving risk field (DDRF) model, which comprehensively considers the motion changes of vehicles, lane markings constraints and inter-vehicle interaction factors. Firstly, a dynamic vehicle driving risk field model based on asymmetric risk attenuation is proposed to quantify the risk impacts arising from vehicle’s inherent attributes and motion states. Then, lane risk fields considering lane curvature are constructed for different types of lane markings. Finally, the inter-vehicle interaction risk field model is built by integrating the pseudo-distance model that considers dynamic interaction between vehicles and the extended social force model. To verify the effectiveness of the DDRF model, the model is applied to existing car-following models, with verification and analysis conducted on open-source datasets and special car-following scenarios, while the risk changes during the vehicle car-following process are analyzed. Experimental results show that: (i) In straight and curved lane environments, the car-following models based on the DDRF model can select appropriate driving strategies according to the risk impacts between vehicles, ensuring a safe inter-vehicle distance. Compared with existing car-following models, the DDRF-based car-following models exhibit reductions of 55.39 %, 46.45 %, and 25.57 % in the root mean square error (RMSE) of position, RMSE of speed, and RMSE of acceleration, respectively. (ii) During the vehicle car-following process, the DDRF model is compared with existing risk models, it exhibits higher sensitivity to changes in risk.

Suggested Citation

  • Ma, Zhenqiang & Zhang, Hongjuan & Hong, Chengzhi & Xu, Si & Zhang, Disheng & Zhou, Jian & Chen, Zhijun & Li, Bijun, 2026. "Modeling of driving risk fields considering vehicle-lane interactions and its application in car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
  • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125007381
    DOI: 10.1016/j.physa.2025.131086
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    References listed on IDEAS

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    1. Pedcris M. Orencio & Masahiko Fujii, 2014. "A spatiotemporal approach for determining disaster-risk potential based on damage consequences of multiple hazard events," Journal of Risk Research, Taylor & Francis Journals, vol. 17(7), pages 815-836, August.
    2. Pinpin Qin & Hongyun Tan & Hao Li & Xuguang Wen, 2022. "Deep Reinforcement Learning Car-Following Model Considering Longitudinal and Lateral Control," Sustainability, MDPI, vol. 14(24), pages 1-18, December.
    3. Ma, Yanli & Dong, Fangqi & Yin, Biqing & Lou, Yining, 2023. "Real-time risk assessment model for multi-vehicle interaction of connected and autonomous vehicles in weaving area based on risk potential field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    4. Banoth Ravi & Manoj Kumar & Yu‐Chen Hu & Shamsul Hassan & Bittu Kumar, 2023. "Stochastic modeling and performance analysis in balancing load and traffic for vehicular ad hoc networks: A review," International Journal of Network Management, John Wiley & Sons, vol. 33(5), September.
    5. Ma, Guodong & Sun, Baofeng & Yuan, Quan & Yang, Wenyu, 2025. "The connected vehicle microscopic behavior modeling base on risk field theory: Theoretical developments, methodological overview and future trends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 668(C).
    6. Ying Cheng & Zhen Liu & Li Gao & Yanan Zhao & Tingting Gao, 2022. "Traffic Risk Environment Impact Analysis and Complexity Assessment of Autonomous Vehicles Based on the Potential Field Method," IJERPH, MDPI, vol. 19(16), pages 1-14, August.
    7. Li, Xia & Pang, Xiaomin & Zhang, Song & You, Zhijian & Ma, Xinwei & Chuo, Eryong, 2024. "Car-following model based on artificial potential field with consideration of horizontal curvature in connected vehicles environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    8. Yingshuai Li & Jian Lu & Kuisheng Xu, 2017. "Crash Risk Prediction Model of Lane-Change Behavior on Approaching Intersections," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, August.
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