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A two-lane lattice hydrodynamic model with heterogeneous lane changing rates

Author

Listed:
  • Sun, Fengxin
  • Chow, Andy H.F.
  • Lo, S.M.
  • Ge, Hongxia

Abstract

Capturing lane changing behavior is crucial when developing a traffic flow modeling and optimization algorithm. This paper presents a two-lane lattice hydrodynamic model with consideration of heterogeneous lane changing rates over space. We further derive its linear stability condition for this extended lattice model with heterogeneous lane changing rates. Numerical experiments are carried out to investigate the effect of different values and percentages of lane changing rates on the system stability. This study contributes to the modeling and analytical techniques involving use of inter-vehicle communications.

Suggested Citation

  • Sun, Fengxin & Chow, Andy H.F. & Lo, S.M. & Ge, Hongxia, 2018. "A two-lane lattice hydrodynamic model with heterogeneous lane changing rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 389-400.
    • Handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:389-400
    DOI: 10.1016/j.physa.2018.08.012
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. 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).
    2. 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).
    3. 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).
    4. Ma, Changxi & Li, Dong, 2023. "A review of vehicle lane change research," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    5. Nikita Madaan & Sapna Sharma, 2022. "Influence of driver’s behavior with empirical lane changing on the traffic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-11, January.
    6. Zhang, Yu & Wang, Sha & Pan, Dong-bo & Zhang, Geng, 2021. "Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    7. 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).
    8. 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).

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