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The optimal estimation of delayed flux effect on traffic stability in lattice hydrodynamic model

Author

Listed:
  • Qingwei Peng

    (School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, China)

  • Hongzhuan Zhao

    (Guangxi Key Laboratory of ITS (Guilin University of Electronic Technology), Guilin 541000, China3Nanning Research Institute, Guilin University of Electronic Technology, Nanning 530000, China4Guangxi Key Laboratory of Precision Navigation Technology and Application (Guilin University of Electronic Technology), Guilin 541000, China)

Abstract

In the process of traffic information transmission, traffic flux delay often occurs. To solve traffic jams resulting from traffic flux delay, we put forward a novel feedback control mode to establish a lattice model accounting for the difference between the optimal estimation and the delayed flux (called for OEDF model). The stability condition, which is closely related to the OEDF model, is derived according to the linear stability analysis. Moreover, the important positive contribution of the OEDF model is demonstrated via numerical simulation from two aspects including density evolution and hysteresis loop, respectively.

Suggested Citation

  • Qingwei Peng & Hongzhuan Zhao, 2023. "The optimal estimation of delayed flux effect on traffic stability in lattice hydrodynamic model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(12), pages 1-8, December.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:12:n:s0129183123501619
    DOI: 10.1142/S0129183123501619
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