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Analysis of a novel lattice hydrodynamic model considering density integral and “backward looking” effect

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  • Qi, Xinyue
  • Ge, Hongxia
  • Cheng, Rongjun

Abstract

By introducing the “backward looking” influence and the integration form of the density difference between the front and rear vehicles, an improved lattice hydrodynamic model is proposed. The linear stability condition is derived by linear stability analysis. The results of the linear stability analysis demonstrate that the influence of “backward looking” and density difference between the front and rear vehicles play a positive part in improving the steadiness of the traffic flow system. The nonlinear analysis testifies that the mKdV equation can describe the propagation feature of density wave. The results of numerical simulation show that the steadiness of traffic flow can be amenable to improvement effectively by considering these two factors. Comprehensive analysis demonstrates that the effect of the “backward looking” and density difference is propitious to improve traffic stability and suppress traffic congestion.

Suggested Citation

  • Qi, Xinyue & Ge, Hongxia & Cheng, Rongjun, 2019. "Analysis of a novel lattice hydrodynamic model considering density integral and “backward looking” effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 714-723.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:714-723
    DOI: 10.1016/j.physa.2019.03.030
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    6. Zhang, Yicai & Zhao, Min & Sun, Dihua & Liu, Xiaoyu & Huang, Shuai & Chen, Dong, 2022. "Robust H-infinity control for connected vehicles in lattice hydrodynamic model at highway tunnel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    7. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    8. Peng, Guanghan & Jia, Teti & Kuang, Hua & Tan, Huili, 2022. "Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    9. 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).

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