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Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling

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  • Zhang, Geng
  • Peng, Guang-Han

Abstract

A modified macro traffic lattice hydrodynamic model is proposed by considering the continuous self-delayed traffic flux information on traffic stability. Via linear stability theory, the influence of the continuous self-delayed traffic flux on traffic stability is derived. It reveals that the stable region in the density-sensitivity space can be enlarged by taking the continuous self-delayed traffic flux into account. Furthermore, the nonlinear feature of density wave in the unstable region is studied and it is consistent with the kink-antikink solution of the mKdV equation. Also numerical simulation is conducted to further verify the analytical results and it is shown that the continuous self-delayed traffic flux information can improve the stable level of traffic flow significantly.

Suggested Citation

  • Zhang, Geng & Peng, Guang-Han, 2019. "Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306211
    DOI: 10.1016/j.physa.2019.04.248
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    Cited by:

    1. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    2. Liu, Bo & Zhang, Geng, 2021. "A double velocity control method for a discrete-time cooperative driving system with varying time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    3. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2024. "Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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