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Stability of heterogeneous traffic considering impacts of platoon management with multiple time delays

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  • Ruan, Tiancheng
  • Zhou, Linjie
  • Wang, Hao

Abstract

With the development of Connected Autonomous Vehicle (CAV), there will be a long-term heterogeneous traffic flow composed of Manual Vehicles (MVs) and CAVs on the road. Firstly, this study explores the traffic composition and distribution characteristics of heterogeneous traffic flow considering the limitation of communication range and CAV degradation. Secondly, we conduct a corresponding linear stability analysis for the heterogeneous traffic flow and introduce different types of time delays into the stability analysis framework. Thirdly, we verify theoretical derivation results through nonlinear numerical simulation. Finally, the influence of platoon management and time delays on the linear stability of heterogeneous traffic flow is explored. The results show that, at first, the stability of heterogeneous traffic flow deteriorates due to the involvement of CAV, and does not grow until the CAV market penetration rate reaches a certain threshold. In the speed range greater than 23.08 m/s, the heterogeneous traffic flow is constantly stable. Platoon management can significantly improve the linear stability of heterogeneous traffic flow with a high CAV market penetration rate, while time delays have a negative effect on the linear stability of heterogeneous traffic flow.

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  • 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).
    • Handle: RePEc:eee:phsmap:v:583:y:2021:i:c:s0378437121005677
    DOI: 10.1016/j.physa.2021.126294
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    References listed on IDEAS

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    1. 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).
    2. Chang, Xin & Li, Haijian & Rong, Jian & Zhao, Xiaohua & Li, An’ran, 2020. "Analysis on traffic stability and capacity for mixed traffic flow with platoons of intelligent connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
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    Citations

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    1. Li, Shihao & Zhou, Bojian & Wang, Ting & Cheng, Cheng & Xu, Min, 2024. "Effects of uncertain anomalous information on traffic flow of automated vehicles with V2V communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
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    3. Zhang, Mengya & Uno, Nobuhiro & Yang, Xiaoguang, 2025. "Traffic safety evaluation for mixed traffic flow caused by degradation of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 659(C).
    4. Chen, Yujiao & Zhang, Futao & Qian, Yongsheng & Zeng, Junwei & Li, Xin, 2025. "A new car-following model considering the driver's dynamic reaction time and driving visual angle on the slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 663(C).
    5. Li, Chao & Zhao, Xiaomei & Xie, Dongfan, 2022. "Steady-state performance and dynamic performance of heterogeneous platoons under a connected environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    6. Xu, Xinpeng & Tao, Hongfei & Wu, Weiguo & Liu, Song, 2023. "An instant discovery method for companion vehicles based on incremental and parallel calculation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    7. 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).
    8. Zhang, Futao & Qian, Yongsheng & Zeng, Junwei & Xu, Dejie & Li, Haijun, 2023. "Stability and safety analysis of mixed traffic flow considering network function degradation and platoon driving on the road with a slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    9. He, Z.C. & Kang, H. & Li, Eric & Zhou, E.L. & Cheng, H.T. & Huang, Y.Y., 2022. "Coordinated control of heterogeneous vehicle platoon stability and energy-saving control strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    10. Hou, Lin & Pei, Yulong & He, Qingling, 2023. "A car following model in the context of heterogeneous traffic flow involving multilane following behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    11. Zhao, Mingming & Yu, Hongxin & Wang, Yibing & Song, Bin & Xu, Liang & Zhu, Dianchen, 2024. "Real-time freeway traffic state estimation for inhomogeneous traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    12. Li, Haijian & Zhang, Junjie & Sun, Xiaoliang & Niu, Jun & Zhao, Xiaohua, 2022. "A survey of vehicle group behaviors simulation under a connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    13. Chen, Yingda & Li, Keping & Zhang, Lun & Chen, Yili & Xiao, Xue, 2024. "Modeling and analysis of mixed traffic flow capacity and stability considering human-driven vehicle drivers' trust attitude towards intelligent connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    14. Zong, Ting & Li, Yan & Qin, Yanyan, 2024. "Enhancing stability of traffic flow mixed with connected automated vehicles via enabling partial regular vehicles with vehicle-to-vehicle communication function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    15. 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).

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