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Analysis of average density difference effect in a new two-lane lattice model

Author

Listed:
  • Geng Zhang

    (School of Automation, Chongqing University, Chongqing 400044, China;
    Key Laboratory of Dependable Service Computing in Cyber, Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China)

  • Di-Hua Sun

    (School of Automation, Chongqing University, Chongqing 400044, China;
    Key Laboratory of Dependable Service Computing in Cyber, Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China)

  • Min Zhao

    (School of Automation, Chongqing University, Chongqing 400044, China)

  • Wei-Ning Liu

    (Key Laboratory of Dependable Service Computing in Cyber, Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
    College of Computer Science, Chongqing University, Chongqing 400044, China)

  • Sen-Lin Cheng

    (School of Automation, Chongqing University, Chongqing 400044, China)

Abstract

A new lattice model is proposed by taking the average density difference effect into account for two-lane traffic system according to Transportation Cyber-physical Systems. The influence of average density difference effect on the stability of traffic flow is investigated through linear stability theory and nonlinear reductive perturbation method. The linear analysis results reveal that the unstable region would be reduced by considering the average density difference effect. The nonlinear kink–antikink soliton solution derived from the mKdV equation is analyzed to describe the properties of traffic jamming transition near the critical point. Numerical simulations confirm the analytical results showing that traffic jam can be suppressed efficiently by considering the average density difference effect for two-lane traffic system.

Suggested Citation

  • Geng Zhang & Di-Hua Sun & Min Zhao & Wei-Ning Liu & Sen-Lin Cheng, 2015. "Analysis of average density difference effect in a new two-lane lattice model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:06:n:s012918311550062x
    DOI: 10.1142/S012918311550062X
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    Cited by:

    1. Madaan, Nikita & Sharma, Sapna, 2021. "A lattice model accounting for multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. Jiang, Changtao & Cheng, Rongjun & Ge, Hongxia, 2018. "Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 900-908.

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