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A new lattice model of traffic flow considering driver’s anticipation effect of the traffic interruption probability

Author

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  • Peng, Guanghan
  • Kuang, Hua
  • Qing, Li

Abstract

In this paper, a new lattice model is proposed by considering the driver’s anticipation effect of traffic interruption probability. The stability condition of the extended model is obtained by the linear stability analysis, which shows that the driver’s anticipation effect of traffic interruption probability can enlarge the stable area of traffic flow. The kink–antikink soliton solution of the modified Korteweg–de Vries (KdV) equation is derived from nonlinear analysis, which can describe the coexisting phase. The simulation results also show that driver’s anticipation effect of the traffic interruption probability could stabilize traffic flow.

Suggested Citation

  • Peng, Guanghan & Kuang, Hua & Qing, Li, 2018. "A new lattice model of traffic flow considering driver’s anticipation effect of the traffic interruption probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 374-380.
    • Handle: RePEc:eee:phsmap:v:507:y:2018:i:c:p:374-380
    DOI: 10.1016/j.physa.2018.05.095
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    Citations

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    Cited by:

    1. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Huimin Liu & Rongjun Cheng & Tingliu Xu, 2021. "Analysis of a Novel Two-Dimensional Lattice Hydrodynamic Model Considering Predictive Effect," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
    3. 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).
    4. 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.
    5. Li, Chuan-Yao & Sun, Qi-Jia, 2019. "Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. Song, Tao & Zhu, Wen-Xing, 2020. "Study on state feedback control strategy for car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    7. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 326-334.

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