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The flux difference memory integral effect on two-lane stability in the lattice hydrodynamic model

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  • Guanghan Peng

    (College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, P. R. China†College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China)

  • Shuhong Yang

    (#x2021;School of Computer Science and Communication Engineering, Guangxi University of Science and Technology, Liuzhou 545006, P. R. China)

  • Hongzhuan Zhao

    (#x2225;College of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, P. R. China)

  • Li Qing

    (*Library, Guangxi Normal University, Guilin 541004, P. R. China)

Abstract

In this paper, the flux difference memory integral (FDMI) effect is introduced into the lattice hydrodynamic model for a two-lane freeway. The FDMI effect plays an important role on the linear stability condition, from theoretic analysis, in a two-lane system. The FDMI effect including the intensity reaction coefficient and the integral historical time are investigated on two lanes via simulation. From numerical simulation, both lane changing rate and FDMI effect strengthening the stability of traffic flow on two lanes is determined.

Suggested Citation

  • Guanghan Peng & Shuhong Yang & Hongzhuan Zhao & Li Qing, 2018. "The flux difference memory integral effect on two-lane stability in the lattice hydrodynamic model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(09), pages 1-13, September.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:09:n:s0129183118500833
    DOI: 10.1142/S0129183118500833
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    Cited by:

    1. 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).

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