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

  • Regular Article - Statistical and Nonlinear Physics
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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment:...].

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Acknowledgements

SERB-POWER supports this work under grant SPG/2021/000591 and by DST-FIST (Govt. of India) for the grant SR/FIST/MS-1/2017/13.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, 147004, India

    Nikita Madaan & Sapna Sharma

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  1. Nikita Madaan
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  2. Sapna Sharma
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Contributions

SS proposed the idea, supervised the work and interpret the results. The implementation of idea, analysis, and the simulation have been performed by NM. NM and SS prepared the manuscript.

Corresponding author

Correspondence to Sapna Sharma.

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Madaan, N., Sharma, S. Influence of driver’s behavior with empirical lane changing on the traffic dynamics. Eur. Phys. J. B 95, 6 (2022). https://doi.org/10.1140/epjb/s10051-021-00270-0

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