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The impact of self-stabilization on traffic stability considering the current lattice’s historic flux for two-lane freeway

Author

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  • Peng, Guanghan
  • Zhao, Hongzhuan
  • Li, Xiaoqin

Abstract

Self-stabilization effect reflects the adaptive change of the current lattice in traffic flow. To improve traffic flow, a new self-stabilization term in this paper is inserted into lattice hydrodynamic model for two-lane freeway. It is shown that the self-stabilization effect can increase traffic stability on two lanes whether lane changing occurs or not according to linear stability analysis. In view of numerical simulation, the self-stabilization effect enhances the stability of the traffic flow in the modified lattice hydrodynamic model for two-lane freeway.

Suggested Citation

  • Peng, Guanghan & Zhao, Hongzhuan & Li, Xiaoqin, 2019. "The impact of self-stabilization on traffic stability considering the current lattice’s historic flux for two-lane freeway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 31-37.
    • Handle: RePEc:eee:phsmap:v:515:y:2019:i:c:p:31-37
    DOI: 10.1016/j.physa.2018.09.173
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    Citations

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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. He, Mujun & Zheng, Linjiang & Cao, Wei & Huang, Jing & Liu, Xu & Liu, Weining, 2019. "An enhanced weight-based real-time map matching algorithm for complex urban networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Huimin Liu & Rongjun Cheng & Tingliu Xu, 2021. "Analysis of a Novel Two-Dimensional Lattice Hydrodynamic Model Considering Predictive Effect," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
    4. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    5. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    6. Huimin Liu & Yuhong Wang, 2021. "Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model," Mathematics, MDPI, vol. 9(22), pages 1-13, November.

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