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Random capacity for a single lane with mixed autonomous and human-driven vehicles: Bounds, mean gaps and probability distributions

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  • Chen, Shukai
  • Wang, Hua
  • Xiao, Ling
  • Meng, Qiang

Abstract

In this study, we concentrate on the random capacity of a single lane in the context of mixed traffic flow with both autonomous vehicles (AVs) and human-driven vehicles (HVs). We first revisit and enrich the bound estimation of the random lane capacity. We proceed to rigorously investigate the non-negligible gap between two widely-used approximate mean capacity functions and their generalized function. The analysis results show that the improper use of approximate mean capacity functions in AV-HV traffic assignment and road network planning could lead to biased and even misleading decisions. Lastly, we explore the probability distribution of the random lane capacity using simulation and distribution fitting techniques, where both fixed and random headway scenarios with different AV shares are addressed. Six suitable probability distributions for the random lane capacity are identified, and the top three are Log-Pearson 3, Log-Gamma, and Lognormal distributions.

Suggested Citation

  • Chen, Shukai & Wang, Hua & Xiao, Ling & Meng, Qiang, 2022. "Random capacity for a single lane with mixed autonomous and human-driven vehicles: Bounds, mean gaps and probability distributions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:transe:v:160:y:2022:i:c:s1366554522000461
    DOI: 10.1016/j.tre.2022.102650
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    References listed on IDEAS

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    Cited by:

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    2. Ngoduy, Dong & Nguyen, Cuong H.P. & Lee, Seunghyeon & Zheng, Zuduo & Lo, Hong K., 2024. "A dynamic system optimal dedicated lane design for connected and autonomous vehicles in a heterogeneous urban transport network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    3. Li, Tongfei & Cao, Yaning & Xu, Min & Sun, Huijun, 2023. "Optimal intersection design and signal setting in a transportation network with mixed HVs and CAVs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    4. Zhou, Wenhan & Weng, Jiancheng & Li, Tongfei & Fan, Bo & Bian, Yang, 2024. "Modeling the road network capacity in a mixed HV and CAV environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    5. Guan, Hao & Wang, Hua & Meng, Qiang & Mak, Chin Long, 2023. "Markov chain-based traffic analysis on platooning effect among mixed semi- and fully-autonomous vehicles in a freeway lane," Transportation Research Part B: Methodological, Elsevier, vol. 173(C), pages 176-202.
    6. Zhang, Fang & Lu, Jian & Hu, Xiaojian & Meng, Qiang, 2023. "Integrated deployment of dedicated lane and roadside unit considering uncertain road capacity under the mixed-autonomy traffic environment," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    7. Zheng, Yuan & Yao, Zhihong & Xu, Yueru & Qu, Xu & Ran, Bin, 2024. "Lane management for mixed traffic flow on roadways considering the car-following behaviors of human-driven vehicles to follow connected and automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    8. Sun, Mingmei, 2023. "A day-to-day dynamic model for mixed traffic flow of autonomous vehicles and inertial human-driven vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).

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