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An improved lattice hydrodynamic model accounting for the effect of “backward looking” and flow integral

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  • Wang, Qingying
  • Ge, Hongxia

Abstract

In order to investigate the effect of “backward looking” and flow integral upon traffic flow, an improved lattice hydrodynamic model has been developed. The stability condition is obtained by the use of linear stability analysis. The result of stability analysis demonstrate that both the “backward looking” and flow integral play an important role in enhancing the stability of traffic flow. The mKdV equation is deduced by using the nonlinear theory, which demonstrates that traffic congestion can be described by the solution of mKdV equation. Numerical simulations are explored to study how “backward looking” and flow integral influence the stability of traffic flow. Numerical results verify that the traffic flow stability can be efficiently improved with the consideration of the above two factors.

Suggested Citation

  • Wang, Qingying & Ge, Hongxia, 2019. "An improved lattice hydrodynamic model accounting for the effect of “backward looking” and flow integral," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 438-446.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:438-446
    DOI: 10.1016/j.physa.2018.09.025
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    5. 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.
    6. Zhaoze, Liu & Rongjun, Cheng & Hongxia, Ge, 2019. "Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 304-314.
    7. Yuan Tang & Yu Xue & Muyang Huang & Qiyun Wen & Bingling Cen & Dong Chen, 2023. "A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
    8. Wen Huan Ai & Ming Ming Wang & Da Wei Liu, 2023. "Analysis of macroscopic traffic flow model considering throttle dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-18, June.
    9. Li, Shihao & Cheng, Rongjun & Ge, Hongxia, 2020. "An improved car-following model considering electronic throttle dynamics and delayed velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
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