IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v670y2025ics0378437125003000.html

Modeling of CAV-based variable speed limit strategy for expressway bottlenecks: An improved cell transmission model

Author

Listed:
  • Li, Ye
  • Yin, Huiwen
  • Jin, Jieling
  • Chen, Chao

Abstract

The advancement of Connected and Automated Vehicles (CAVs) technology enables precise control over vehicle trajectories and dynamic adjustment of vehicle states, offering new approaches to traffic management. This study proposes a novel Variable Speed Limit (VSL) control strategy for expressway bottleneck sections, leveraging CAVs as "moving barriers" to implement VSL control in mixed traffic flow (CAV-based VSL), where CAVs coexist with Human-Driven Vehicles (HDVs). The core idea of this strategy is to proactively control CAVs to decelerate, thereby enabling the following HDVs to reduce speed within the designated control sections. To implement and validate this strategy, an Improved Cell Transmission Model (ICTM) is developed through analyzing vehicle microscopic behaviors under the CAV-based VSL control strategy. The ICTM facilitates rapid calculations and effective strategy implementation of CAV-based VSL strategy, establishing a correlation between microscopic vehicle interaction behaviors and the macroscopic model in mixed traffic flow. Simulation experiments are conducted to assess the effectiveness of the CAV-based VSL control strategy in comparison to the No-VSL, MPC-based, RL-based, and HDV-based VSL strategies under varying CAV market penetration rates. The results demonstrate that the CAV-based VSL outperforms the other strategies, reducing total queue time by 42.02 % and the probability of congestion by 41.42 % compared to the No-VSL. Furthermore, the CAV-based VSL significantly reduces the speed variance, whereas the other VSL show no significant mitigation in this metric. Furthermore, sensitivity and quantitative analyses of model parameter selection provide additional validation of the effectiveness and robustness of the proposed CAV-based VSL control strategy.

Suggested Citation

  • Li, Ye & Yin, Huiwen & Jin, Jieling & Chen, Chao, 2025. "Modeling of CAV-based variable speed limit strategy for expressway bottlenecks: An improved cell transmission model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 670(C).
  • Handle: RePEc:eee:phsmap:v:670:y:2025:i:c:s0378437125003000
    DOI: 10.1016/j.physa.2025.130648
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125003000
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2025.130648?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Tasneem Miqdady & Rocío de Oña & Juan de Oña, 2023. "Traffic Safety Sensitivity Analysis of Parameters Used for Connected and Autonomous Vehicle Calibration," Sustainability, MDPI, vol. 15(13), pages 1-21, June.
    2. Shiomi, Yasuhiro & Yoshii, Toshio & Kitamura, Ryuichi, 2011. "Platoon-based traffic flow model for estimating breakdown probability at single-lane expressway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1314-1330.
    3. Demin Nalic & Aleksa Pandurevic & Arno Eichberger & Martin Fellendorf & Branko Rogic, 2021. "Software Framework for Testing of Automated Driving Systems in the Traffic Environment of Vissim," Energies, MDPI, vol. 14(11), pages 1-9, May.
    4. Zeng, Junwei & Qian, Yongsheng & Li, Jiao & Zhang, Yongzhi & Xu, Dejie, 2023. "Congestion and energy consumption of heterogeneous traffic flow mixed with intelligent connected vehicles and platoons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    5. Ahn, Soyoung & Cassidy, Michael J. & Laval, Jorge, 2004. "Verification of a simplified car-following theory," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 431-440, June.
    6. Shu-Bin Li & Dan-Ni Cao & Wen-Xiu Dang & Lin Zhang, 2018. "Variable speed limit strategies analysis with mesoscopic traffic flow model based on complex networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-20, February.
    7. Yao, Zhihong & Jin, Yuting & Jiang, Haoran & Hu, Lu & Jiang, Yangsheng, 2022. "CTM-based traffic signal optimization of mixed traffic flow with connected automated vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    8. Gong, Siyuan & Du, Lili, 2018. "Cooperative platoon control for a mixed traffic flow including human drive vehicles and connected and autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 25-61.
    9. Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
    10. Zhang, Jiahe & Qian, Yongsheng & Zeng, Junwei & Wei, Xuting & Li, Haijun, 2023. "Hybrid characteristics of heterogeneous traffic flow mixed with electric vehicles considering the amplitude of acceleration and deceleration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    11. Junwei Zeng & Yongsheng Qian & Fan Yin & Leipeng Zhu & Dejie Xu, 2022. "A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate," Computational and Mathematical Organization Theory, Springer, vol. 28(2), pages 178-192, June.
    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. Newell, G. F., 2002. "A simplified car-following theory: a lower order model," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 195-205, March.
    14. Ye, Lanhang & Yamamoto, Toshiyuki, 2019. "Evaluating the impact of connected and autonomous vehicles on traffic safety," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    15. 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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Qiu, Tun & Liu, Pan & Li, Zhibin & Xu, Chengcheng & Qiu, Kailai & Wang, Shunchao, 2025. "MADDPG-GST for coordinated variable speed limit and ramp metering: A hybrid action deep reinforcement learning approach to bottleneck congestion mitigation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).
    2. Ma, Minghui & Yang, Wei & Liang, Shidong & Wang, Yang, 2025. "Balancing traffic and charging efficiency for EVs in freeway bottlenecks: Charging (Low-SOC) or fast passage (High-SOC)," Energy, Elsevier, vol. 339(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Zhou, Yongjie & Liang, Jun, 2025. "Platoon agglomeration strategy and analysis in CAV dedicated lanes under low CAV penetration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 664(C).
    3. Pan, Yuchen & Wu, Yu & Xu, Lu & Xia, Chengyi & Olson, David L., 2024. "The impacts of connected autonomous vehicles on mixed traffic flow: A comprehensive review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    4. Zhuang, Xinfa & Zhang, Jing & Tian, Junfang & Cui, Fengying & Wang, Tao, 2024. "Variable time headway spacing strategy for connected vehicles platoon based on sliding mode control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    5. Liu, Hang & Zou, Zhiyun & Jiang, Zehao & Chen, Yujiang & Yang, Qingmei & Gao, Jianzhi, 2024. "Method for utilizing the reserved lane capacity: Formation of the mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    6. Xu, Zeqi & Wang, Yi & Liu, Ronghui & Wu, Yunxia & Jiang, Yangsheng & Yao, Zhihong, 2025. "Impact of the spatial distribution of CAVs on stochastic traffic oscillations in mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).
    7. Feng, Weihao & Wang, Bohui, 2025. "Stability analysis and delayed feedback control for platoon of connected automated vehicles with V2X and V2V infrastructure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    8. Peng, Jiali & Shangguan, Wei & Peng, Cong & Chai, Linguo, 2024. "Uncertainty modeling of connected and automated vehicle penetration rate under mixed traffic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    9. Gu, Pei-Ni & Liang, Chen & Zhang, Geng & Pan, Dong-Bo, 2025. "Stability and nonlinear analyses for mixed traffic comprising human-driven vehicles and connected human-driven vehicles with different control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    10. Wu, Yuanyuan & Wang, David Z.W. & Zhu, Feng, 2022. "Influence of CAVs platooning on intersection capacity under mixed traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    11. Verma, Muskan & Gupta, Arvind Kumar & Sharma, Sapna, 2025. "Phase transitions in a multi-phase lattice hydrodynamic area occupancy model in mixed disorder traffic considering connected and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    12. Han, Youngjun & Ahn, Soyoung, 2018. "Stochastic modeling of breakdown at freeway merge bottleneck and traffic control method using connected automated vehicle," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 146-166.
    13. Zhao, Jiaqi & Liang, Qinghuai & Guo, Jiaao & Pu, Keqian, 2024. "Vulnerability assessment and evolution analysis of Beijing's Urban Rail Transit Network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    14. Li, Xia & Pang, Xiaomin & Zhang, Song & You, Zhijian & Ma, Xinwei & Chuo, Eryong, 2024. "Car-following model based on artificial potential field with consideration of horizontal curvature in connected vehicles environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    15. Sala, Marcel & Soriguera, Francesc, 2021. "Capacity of a freeway lane with platoons of autonomous vehicles mixed with regular traffic," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 116-131.
    16. Jiang, Yangsheng & Tan, Li & Xiao, Guosheng & Wu, Yunxia & Yao, Zhihong, 2024. "Platoon-aware cooperative lane-changing strategy for connected automated vehicles in mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    17. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    18. Ren, Wenhao & Zhao, Xiaohua & Li, Haijian & Fu, Qiang, 2024. "Traffic flow impact of mixed heterogeneous platoons on highways: an approach combining driving simulation and microscopic traffic simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    19. Zhao, Jing & Knoop, Victor L. & Wang, Meng, 2020. "Two-dimensional vehicular movement modelling at intersections based on optimal control," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 1-22.
    20. Seo, Toru & Kawasaki, Yutaka & Kusakabe, Takahiko & Asakura, Yasuo, 2019. "Fundamental diagram estimation by using trajectories of probe vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 40-56.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:670:y:2025:i:c:s0378437125003000. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.