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Modeling mixed traffic stability with connected automated vehicle platoon

Author

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  • Wu, Yunxia
  • Gu, Qiufan
  • Jiang, Yangsheng
  • Yao, Zhihong

Abstract

To investigate the impact of platoon characteristic parameters on the mixed traffic stability, this paper proposes a mixed traffic stability analysis framework that considers both maximum platoon size and platoon intensity. First, considering the spatial distribution of vehicles in mixed traffic flow, a Markov chain-based platoon model is developed from the perspective of platoon intensity. Considering the platoon, the vehicle types and proportions in the mixed traffic flow have been determined. Then, stability discriminant criteria for mixed traffic flow considering both maximum platoon size and platoon intensity are derived, and the effects of maximum platoon size, platoon intensity, and CAV penetration rate on traffic stability are analyzed. Finally, simulation experiments are designed to validate the theoretical model. The results indicate that (1) platoon intensity positively affects mixed traffic stability. As platoon intensity increases, the stable speed intervals of mixed traffic flow expand. (2) The smaller platoons are beneficial to the traffic stability. As the platoon size increases, the unstable speed intervals expand while the expansion rate slows down, but its effect depends on platoon intensity. (3) Platoon management modes can enhance mixed traffic stability compared to conventional management modes. The stability is optimal when all CAVs travel in platoons of a certain size. Therefore, the findings of this paper guide platoon management in mixed traffic flow.

Suggested Citation

  • Wu, Yunxia & Gu, Qiufan & Jiang, Yangsheng & Yao, Zhihong, 2025. "Modeling mixed traffic stability with connected automated vehicle platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 676(C).
    • Handle: RePEc:eee:phsmap:v:676:y:2025:i:c:s0378437125005576
    DOI: 10.1016/j.physa.2025.130905
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    References listed on IDEAS

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    1. Li, Haijian & Meng, Weizhe & Han, ZongLin & Zhang, Zihan & Yang, Yanfang, 2025. "Vehicle platoon in road traffic: A survey of modeling, communication, controlling and perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    2. 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).
    3. Luo, Ruifa & Gu, Qiufan & Xu, Taorang & Hao, Huijun & Yao, Zhihong, 2022. "Analysis of linear internal stability for mixed traffic flow of connected and automated vehicles considering multiple influencing factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    4. Zong, Fang & Yue, Sheng & Zeng, Meng & He, Zhengbing & Ngoduy, Dong, 2025. "Platoon or individual: An adaptive car-following control of connected and automated vehicles," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    5. Zhao, Peilin & Wong, Yiik Diew & Zhu, Feng, 2025. "Modeling and analysis of the platoon size of Connected Autonomous Vehicles in a mixed traffic environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 199(C).
    6. Sun, Jie & Zheng, Zuduo & Sun, Jian, 2018. "Stability analysis methods and their applicability to car-following models in conventional and connected environments," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 212-237.
    7. Yao, Zhihong & Gu, Qiufan & Jiang, Yangsheng & Ran, Bin, 2022. "Fundamental diagram and stability of mixed traffic flow considering platoon size and intensity of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    8. Qin, Yanyan & Liu, Changqing & Yan, Shiyi & Wang, Hua, 2025. "Management strategy for the maximum platoon size of connected automated vehicles in a freeway lane: A mixed traffic capacity modeling approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 201(C).
    9. Peng, Guanghan & Wu, Kunning & Tan, Huili, 2024. "Bifurcation and phase transitions in heterogeneous non-lane-discipline-based car-following model integrating cooperative feedback control under automated and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    10. Li, Yuxuan & Zheng, Jinzi & Qin, Lingqiao & Li, Haijian, 2025. "Highway capacity of mixed traffic flow with autonomous vehicles: A review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 671(C).
    11. Kuang, Hua & Xu, Zhi-Peng & Li, Xing-Li & Lo, Siu-Ming, 2017. "An extended car-following model accounting for the average headway effect in intelligent transportation system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 778-787.
    12. Ghiasi, Amir & Hussain, Omar & Qian, Zhen (Sean) & Li, Xiaopeng, 2017. "A mixed traffic capacity analysis and lane management model for connected automated vehicles: A Markov chain method," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 266-292.
    13. Chen, Danjue & Ahn, Soyoung & Chitturi, Madhav & Noyce, David A., 2017. "Towards vehicle automation: Roadway capacity formulation for traffic mixed with regular and automated vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 196-221.
    14. Montanino, Marcello & Punzo, Vincenzo, 2021. "On string stability of a mixed and heterogeneous traffic flow: A unifying modelling framework," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 133-154.
    15. 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).
    16. 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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    1. Fan, Xinheng & Zeng, Junwei & Qian, Yongsheng & Zhang, Futao & Wei, Xu & Wang, Daohao, 2026. "Stability analysis of mixed-traffic platoons considering driver heterogeneity and the communication scale of connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).

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