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Mean-field flow difference model with consideration of on-ramp and off-ramp

Author

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  • Changtao-Jiang,
  • Rongjun-Cheng,
  • Hongxia-Ge,

Abstract

In this paper, an extended lattice hydrodynamic model is proposed by incorporating the effects of mean-field flow difference, on-ramp and off-ramp. The linear stability condition is obtained through linear stability theory and the mKdV equation is derived by using nonlinear analysis method. Therefore, the propagation behavior of traffic jam can be described by the kink–antikink soliton solution of the mKdV equation. Furthermore, the theoretical findings are verified with the use of numerical simulation which confirms that the stability of traffic flow can be efficiently improved with the consideration of the effects of mean-field flow difference, on-ramp and off-ramp.

Suggested Citation

  • Changtao-Jiang, & Rongjun-Cheng, & Hongxia-Ge,, 2019. "Mean-field flow difference model with consideration of on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 465-476.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:465-476
    DOI: 10.1016/j.physa.2018.09.026
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    5. Ma, Xinjuan & Ge, Hongxia & Cheng, Rongjun, 2019. "Influences of acceleration with memory on stability of traffic flow and vehicle’s fuel consumption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 143-154.
    6. 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.
    7. Li, Wei-Hong & Huang, Hai-Jun & Shang, Hua-Yan, 2020. "Dynamic equilibrium commuting in a multilane system with ridesharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    8. 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.
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    10. 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).
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