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Analysis of heterogeneous traffic flow model integrating dynamic time headway and driver compliance uncertainty-aware

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  • Ma, Zeying
  • Fu, Yang
  • Cheng, Rongjun

Abstract

In the early stages of the development of intelligent connected technology, the heterogeneous traffic flow consisting of regular vehicles (RVs) and connected vehicles (CVs) will gradually become a typical traffic scenario where a CV is considered an RV equipped with an advanced driver assistance system (ADAS). To model such heterogeneous traffic flow, this paper proposes an integrated car-following model that incorporates both the novel model for RVs and the dynamic model for CVs. The novel model for RVs is developed by considering the dynamic time headway (DTH) characteristic, while the dynamic model for CVs is proposed by considering the multiple preceding vehicles' information supplied by ADAS and the compliance rate of CV drivers to ADAS. Then, through linear stability analysis, the unified expression for the stability condition shows that the stability of heterogeneous traffic is influenced by the penetration rate of CVs, the compliance rate of CV drivers, and the DTH characteristics. Ultimately, numerical simulations are conducted to confirm the theoretical findings. The results suggest that (1) When the CV penetration rate exceeds 60 % or the compliance rate of CV drivers exceeds 40 %, the effect of enhancing the stability of heterogeneous traffic flow becomes significantly stronger. (2) The characteristic of DTH expands the range of velocity fluctuation (3) When the penetration of CVs is greater than 80 % and the compliance rate of CV drivers is more than 90 %, the traffic flow remains stable throughout the complete velocity range. This model can not only be used to simulate the dynamic evolution of CV and RV in a heterogeneous traffic flow environment, but also provides a reference direction for studying the characteristics of heterogeneous stochastic traffic flows in multi-lane scenarios.

Suggested Citation

  • Ma, Zeying & Fu, Yang & Cheng, Rongjun, 2025. "Analysis of heterogeneous traffic flow model integrating dynamic time headway and driver compliance uncertainty-aware," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001183
    DOI: 10.1016/j.chaos.2025.116105
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    as
    1. Zeng, Junwei & Qian, Yongsheng & Wang, Wenhai & Xu, Dejie & Li, Haijun, 2023. "The impact of connected automated vehicles and platoons on the traffic safety and stability in complex heterogeneous traffic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    2. 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.
    3. Cong Zhai & Weitiao Wu, 2020. "A continuum model with traffic interruption probability and electronic throttle opening angle effect under connected vehicle environment," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-12, March.
    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).
    5. Yuan, Zijian & Wang, Tao & Zhang, Jing & Li, Shubin, 2022. "Influences of dynamic safe headway on car-following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    6. Jin, Shuang & Sun, Di-Hua & Zhao, Min & Li, Yang & Chen, Jin, 2020. "Modeling and stability analysis of mixed traffic with conventional and connected automated vehicles from cyber physical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    7. Luo, Ying & Chen, Yanyan & Lu, Kaiming & Chen, Liang & Zhang, Jian, 2024. "Modeling and analysis of heterogeneous traffic flow considering dynamic information flow topology and driving behavioral characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    8. Pei, Yulong & Pan, Sheng & Wen, Yuhang, 2024. "Analysis of roadway capacity for heterogeneous traffic flows considering the degree of trust of drivers of HVs in CAVs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    9. Cui, Ziyu & Wang, Xiaoning & Ci, Yusheng & Yang, Changyun & Yao, Jia, 2023. "Modeling and analysis of car-following models incorporating multiple lead vehicles and acceleration information in heterogeneous traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    10. Lou, Haoli & Lyu, Hao & Cheng, Rongjun, 2024. "A time-varying driving style oriented model predictive control for smoothing mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    11. Bansal, Prateek & Kockelman, Kara M., 2017. "Forecasting Americans’ long-term adoption of connected and autonomous vehicle technologies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 95(C), pages 49-63.
    12. Ruan, Tiancheng & Zhou, Linjie & Wang, Hao, 2021. "Stability of heterogeneous traffic considering impacts of platoon management with multiple time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    13. Dong, Jiakuan & Gao, Zhijun & Luo, Dongyu & Wang, Jiangfeng & Chen, Lei, 2024. "Impact of beyond-line-of-sight connectivity on the capacity and stability of mixed traffic flow: An analytical and numerical investigation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    14. Yao, Zhihong & Xu, Taorang & Jiang, Yangsheng & Hu, Rong, 2021. "Linear stability analysis of heterogeneous traffic flow considering degradations of connected automated vehicles and reaction time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    15. Yao, Zhihong & Deng, Haowei & Chen, Zikang & He, Xiang & Ai, Yi & Wu, Yunxia, 2024. "Linear internal stability for mixed traffic flow of CAVs with different automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    16. Cheng, Rongjun & Lyu, Hao & Zheng, Yaxing & Ge, Hongxia, 2022. "Modeling and stability analysis of cyberattack effects on heterogeneous intelligent traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    17. Chen, Yingda & Kong, Dewen & Sun, Lishan & Zhang, Tong & Song, Yongchang, 2022. "Fundamental diagram and stability analysis for heterogeneous traffic flow considering human-driven vehicle driver’s acceptance of cooperative adaptive cruise control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    18. Zhang, Jing & Xu, Keyu & Li, Guangyao & Li, Shubin & Wang, Tao, 2021. "Dynamics of traffic flow affected by the future motion of multiple preceding vehicles under vehicle-connected environment: Modeling and stabilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    19. Sharma, Anshuman & Zheng, Zuduo & Bhaskar, Ashish & Haque, Md. Mazharul, 2019. "Modelling car-following behaviour of connected vehicles with a focus on driver compliance," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 256-279.
    20. Wang, Shu-Tong & Zhu, Wen-Xing & Ma, Xiao-Long, 2023. "Mixed traffic system with multiple vehicle types and autonomous vehicle platoon: Modeling, stability analysis and control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    21. 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).
    22. (Sean) Qian, Zhen & Li, Jia & Li, Xiaopeng & Zhang, Michael & Wang, Haizhong, 2017. "Modeling heterogeneous traffic flow: A pragmatic approach," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 183-204.
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