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Influence of driver’s behavior with empirical lane changing on the traffic dynamics

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  • Nikita Madaan

    (Thapar Institute of Engineering and Technology)

  • Sapna Sharma

    (Thapar Institute of Engineering and Technology)

Abstract

In real traffic, driver’s behavior influences lane changing and hence traffic dynamics. Motivated by the impact of driver’s behavior on lane changing phenomenon, we introduce a lattice model by considering driver’s behavior with empirical lane changing rate. To analyze the two lane traffic system more effectively, the lane changing rate is assumed to be dependent on density and their relationship is considered based on available empirical data. Theoretical analysis is performed to study the effect of small amplitude perturbation as well as long wavelength perturbation on traffic characteristics. Stability condition is obtained via linear stability analysis and the modified Korteweg–de Vries equation is formulated through nonlinear analysis to describe the propagating behavior of traffic density wave near the critical point. It is found that empirical lane changing has a nontrivial influence on traffic dynamics in terms of stabilizing/destabilizing traffic flow. All the theoretical results are verified with numerical simulations on a hypothetical circular road. Graphic Abstract

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  • 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.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:1:d:10.1140_epjb_s10051-021-00270-0
    DOI: 10.1140/epjb/s10051-021-00270-0
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    References listed on IDEAS

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    Cited by:

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    3. 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).

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