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Perimeter control with real-time location-varying cordon

Author

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  • Li, Ye
  • Mohajerpoor, Reza
  • Ramezani, Mohsen

Abstract

With unbalanced travel demand distribution over time and space, a stationary cordon location hinders the full potential of perimeter flow control based on network Macroscopic Fundamental Diagram (MFD). This paper introduces a perimeter control method wherein the region boundaries alter in real-time to tackle propagation of local pockets of congestion. The nonlinear dynamics of the heterogeneous traffic network are modelled as a switching system. The linearization of the derived switching nonlinear dynamics is conducted considering the accumulation heterogeneity. A Linear Quadratic Regulator (LQR) is employed for gating the flow exchange between regions to minimize network congestion. Several scenarios are examined comparing perimeter control schemes with static and dynamic cordons. Results pinpoint the proposed LQR control with location-varying cordon strategy and a moderate switching interval significantly reduces the vehicles total time spent in the network.

Suggested Citation

  • Li, Ye & Mohajerpoor, Reza & Ramezani, Mohsen, 2021. "Perimeter control with real-time location-varying cordon," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 101-120.
  • Handle: RePEc:eee:transb:v:150:y:2021:i:c:p:101-120
    DOI: 10.1016/j.trb.2021.05.016
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    References listed on IDEAS

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    3. 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).
    4. Su, Z.C. & Chow, Andy H.F. & Fang, C.L. & Liang, E.M. & Zhong, R.X., 2023. "Hierarchical control for stochastic network traffic with reinforcement learning," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 196-216.
    5. Ding, Heng & Di, Yunran & Feng, Zhongxiang & Zhang, Weihua & Zheng, Xiaoyan & Yang, Tao, 2022. "A perimeter control method for a congested urban road network with dynamic and variable ranges," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 160-187.
    6. Ding, Heng & Qian, Yu & Zheng, Xiaoyan & Bai, Haijian & Wang, Shiguang & Zhou, Jingwen, 2022. "Dynamic parking charge–perimeter control coupled method for a congested road network based on the aggregation degree characteristics of parking generation distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

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