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Study on discrete boundary-feedback-control strategy for traffic flow based on Macroscopic Fundamental Diagram

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  • Zhu, Wen-Xing
  • Li, Shuo

Abstract

In this work, we proposed a discrete boundary-feedback-control strategy for urban traffic flow based on Macroscopic Fundamental Diagram. Firstly, the road network is divided into several sub-regions according to the degree of correlation of road intersections, and then the Macroscopic Fundamental Diagram characteristics of each traffic sub-region are analyzed to obtain the optimal critical value of vehicles in each sub-region. For a single traffic sub-region, when the number of accumulated vehicles in the sub-region exceeds the optimal threshold, we control the entry and exit of the vehicle at the boundary of the traffic sub-region by adjusting the traffic timing of the traffic lights at the boundary of the sub-region. The Vissim simulation experiment was conducted to verify that the vehicle delay in the road network was significantly reduced with the discrete boundary-feedback-control strategy, as well, the road congestion was alleviated, the travel efficiency was improved, and the road network traffic operation status was improved.

Suggested Citation

  • Zhu, Wen-Xing & Li, Shuo, 2019. "Study on discrete boundary-feedback-control strategy for traffic flow based on Macroscopic Fundamental Diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1237-1247.
    • Handle: RePEc:eee:phsmap:v:523:y:2019:i:c:p:1237-1247
    DOI: 10.1016/j.physa.2019.04.090
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    Cited by:

    1. Yang, Qiaoli & He, Yongzhen, 2022. "Right-turn-on-red queueing process at signalized intersections with a short right-turn lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    2. Chen, Can & Ge, Hongxia & Cheng, Rongjun, 2019. "Self-stabilizing analysis of an extended car-following model with consideration of expected effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Jiao, Yulei & Ge, Hongxia & Cheng, Rongjun, 2019. "Nonlinear analysis for a modified continuum model considering electronic throttle (ET) and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Li, Sutong & Kang, Leilei & Huang, Hao & Liu, Lan, 2023. "A perimeter control model of urban road network based on cooperative-noncooperative two-stage game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    5. Yang, Qiaoli & Shi, Zhongke, 2021. "The queue dynamics of protected/permissive left turns at pre-timed signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    6. Guo, Yajuan & Yang, Licai & Hao, Shenxue & Gu, Xinxin, 2021. "Perimeter traffic control for single urban congested region with macroscopic fundamental diagram and boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    7. Li, Chuan-Yao & Sun, Qi-Jia, 2019. "Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    8. Yang, Qiaoli & Fu, Xue, 2024. "An extended queueing model for vehicles at signalized intersections considering the platoon correlated arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

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