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Fundamental diagram and stability of mixed traffic flow considering platoon size and intensity of connected automated vehicles

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  • Yao, Zhihong
  • Gu, Qiufan
  • Jiang, Yangsheng
  • Ran, Bin

Abstract

The connected automated vehicle platoon is a critical organizational form of the intelligent transportation system in the future. Considering the platoon size and intensity of connected automated vehicles (CAVs), this paper studies the fundamental diagram and stability of mixed traffic flow. Firstly, the spatial distribution of vehicles in the mixed traffic flow is analyzed. Based on the platoon intensity and Markov chain, the proportion of different types of vehicles in the mixed traffic flow is deduced. Then, the general model framework of the fundamental diagram of the mixed traffic flow is established. The influence factors of the fundamental diagram under the critical scenarios are discussed. Finally, the general condition of mixed traffic flow stability considering the platoon size and intensity of CAVs is developed. Numerical experiments are adopted to analyze the influence of the characteristics of the CAVs platoon on stability. The results show that: (1) a greater platoon size leads to the increase of traffic capacity while it is harmful to the maintenance of traffic flow stability; (2) the platoon size is recommended to be set at 4 to 6 to balance the relationship between traffic capacity and stability; (3) a more significant platoon intensity can help improve the traffic capacity and stability; (4) the penetration rate of CAVs has a positive effect on the traffic flow stability until it increases to a certain degree.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005556
    DOI: 10.1016/j.physa.2022.127857
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    5. 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).
    6. 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).
    7. Wang, Pangwei & Wang, Xindi & Ye, Rongsheng & Sun, Yuanzhe & Liu, Cheng & Zhang, Juan, 2024. "Eco-driving-based mixed vehicular platoon control model for successive signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    8. Jiang, Yangsheng & Cong, Hongwei & Chen, Hongyu & Wu, Yunxia & Yao, Zhihong, 2024. "Adaptive cruise control design for collision risk avoidance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    9. 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).
    10. Jiang, Yangsheng & Chen, Hongyu & Cong, Hongwei & Wu, Yunxia & Yao, Zhihong, 2024. "Fundamental diagram of mixed traffic flow of CAVs with different connectivity and automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 646(C).
    11. Jiang, Chenming & Yin, Shicong & Yao, Zhihong & He, Junliang & Jiang, Rui & Jiang, Yu, 2024. "Safety evaluation of mixed traffic flow with truck platoons equipped with (cooperative) adaptive cruise control, stochastic human-driven cars and trucks on port freeways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    12. 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).
    13. Wu, Xuelian & Postorino, Maria Nadia & Mantecchini, Luca, 2024. "Impacts of connected autonomous vehicle platoon breakdown on highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    14. Wenjing Tian & Jien Ma & Lin Qiu & Xiang Wang & Zhenzhi Lin & Chao Luo & Yao Li & Youtong Fang, 2023. "The Double Lanes Cell Transmission Model of Mixed Traffic Flow in Urban Intelligent Network," Energies, MDPI, vol. 16(7), pages 1-17, March.

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