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Study on the continuous delayed optimal flow on traffic stability in a new macro traffic model

Author

Listed:
  • Zhang, Geng
  • Zhang, Yu
  • Pan, Dong-Bo
  • Huang, Ren-Jie

Abstract

The influence of the continuous delayed optimal flow on traffic stability is studied based on a new traffic lattice hydrodynamic model in this paper. Linear analysis derives the model’s linear stable condition and it shows that the stability of traffic flow is enhanced by considering the continuous delayed optimal flow. Also the feature of the unstable traffic flow is uncovered by the solution of the mKdV equation with nonlinear analysis. Finally, numerical simulation is carried out to intuitively show the stabilization effect of the continuous delayed optimal flow on traffic flow and the continuous delayed optimal flow should be considered in traffic theory.

Suggested Citation

  • Zhang, Geng & Zhang, Yu & Pan, Dong-Bo & Huang, Ren-Jie, 2019. "Study on the continuous delayed optimal flow on traffic stability in a new macro traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119311665
    DOI: 10.1016/j.physa.2019.122029
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    Citations

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    Cited by:

    1. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. 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).
    3. Pan, Dong-Bo & Zhang, Geng & Jiang, Shan & Zhang, Yu & Cui, Bo-Yuan, 2021. "Delay-independent traffic flux control for a discrete-time lattice hydrodynamic model with time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    4. Peng, Guanghan & Wang, Wanlin & Tan, Huili, 2023. "Chaotic jam and phase transitions in heterogeneous lattice model integrating the delay characteristics difference with passing effect under autonomous and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    5. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2024. "Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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