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A novel lattice hydrodynamic model considering the optimal estimation of flux difference effect on two-lane highway

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  • Peng, Guanghan
  • Yang, Shuhong
  • Xia, Dongxue
  • Li, Xiaoqin

Abstract

The optimal estimation of flux difference effect is introduced to construct a new lattice hydrodynamic model for two-lane highway. Through linear stability analysis, it is found that the new consideration plays an important influence upon the stability of two-lane traffic flow. Moreover, the mKdV equation near the critical point is derived from nonlinear analysis, which describes the propagation behavior of traffic jam in two-lane traffic system. Simulation results show that the stability of two-lane traffic system can be increased and the emergence of traffic jams are effectively relieved by the optimal estimation of flux difference effect, which is in good agreement with theoretical analysis.

Suggested Citation

  • Peng, Guanghan & Yang, Shuhong & Xia, Dongxue & Li, Xiaoqin, 2018. "A novel lattice hydrodynamic model considering the optimal estimation of flux difference effect on two-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 929-937.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:929-937
    DOI: 10.1016/j.physa.2018.05.036
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    Citations

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    Cited by:

    1. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    2. Madaan, Nikita & Sharma, Sapna, 2021. "A lattice model accounting for multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    3. 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.
    4. 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).
    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. 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).

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