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Analysis of linear internal stability for mixed traffic flow of connected and automated vehicles considering multiple influencing factors

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  • Luo, Ruifa
  • Gu, Qiufan
  • Xu, Taorang
  • Hao, Huijun
  • Yao, Zhihong

Abstract

The stability of traffic flow reflects the ability to resist traffic perturbation and reveals the formation mechanism of congestion in a non-bottleneck link. To study the stability of mixed traffic flow in the non-fully connected and automated vehicles (CAVs) environment, this paper takes time delay, platooning intensity and CAVs degradations into consideration. Firstly, the vehicle types in the mixed traffic flow are analyzed considering degraded CAVs. Then time delays of different types of vehicles are discussed. The proportion of each type of vehicle under the influence of platooning intensity is determined. Based on this, the linear internal stability condition of mixed traffic flow is derived by using the characteristic equation-based method. The stability condition is related to CAVs degradations, time delay, and platooning intensity. In addition, the influence of CAV penetration rates, platooning intensity, and time delay on traffic stability are analyzed. Finally, the simulation experiments are carried out to verify theoretical results. The results show that: (1) CAV penetration rates and platooning intensity are conducive to maintaining the stability of the mixed traffic flow; (2) CAVs degradations and time delay have a negative effect on stability; (3) when the penetration rate of CAVs is more significant than 90.4%, the traffic flow is stable in the entire speed range. To a certain extent, these conclusions can enrich and expand the existing research results on the stability of the mixed traffic flow.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s037843712200200x
    DOI: 10.1016/j.physa.2022.127211
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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. Yao, Zhihong & Hu, Rong & Wang, Yi & Jiang, Yangsheng & Ran, Bin & Chen, Yanru, 2019. "Stability analysis and the fundamental diagram for mixed connected automated and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    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. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2006. "Delays, inaccuracies and anticipation in microscopic traffic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 71-88.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Montanino, Marcello & Monteil, Julien & Punzo, Vincenzo, 2021. "From homogeneous to heterogeneous traffic flows: Lp String stability under uncertain model parameters," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 136-154.
    10. 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).
    11. 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).
    12. Zhu, Wen-Xing & Zhang, H.M., 2018. "Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 274-285.
    13. Ye, Lanhang & Yamamoto, Toshiyuki, 2018. "Modeling connected and autonomous vehicles in heterogeneous traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 269-277.
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    Cited by:

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    2. 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).
    3. 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).
    4. Jiang, Yangsheng & Ren, Tingting & Ma, Yuqin & Wu, Yunxia & Yao, Zhihong, 2023. "Traffic safety evaluation of mixed traffic flow considering the maximum platoon size of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    5. 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).

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