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A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system

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Abstract

In this paper, a new lattice model of the traffic flow is proposed with the consideration of the driver anticipation effect for a two-lane system. The linear stability condition is derived by employing linear stability analysis. The analytical result shows that the driver anticipation effect can improve the stability of the traffic flow in a two-lane system. The mKdV equation near the critical point is obtained to describe the propagating behavior of a traffic density wave with the perturbation method. The simulation results are also in good agreement with the analytical results, which show that the traffic jam can be suppressed efficiently when the driver anticipation effect is considered in a two-lane system.

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Acknowledgements

This work was supported by the Key Project of Chinese Ministry of Education (Grant No. 211123), the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 10B072), Doctor Startup Project Foundation of Hunan University of Arts and Science, China (Grant No. BSQD1010) and the Fund of the Key Construction Academic Subject of Hunan Province, China.

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  1. College of Physics and Electronics, Hunan University of Arts and Science, Changde, 415000, China

    Guanghan Peng

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  1. Guanghan Peng
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Correspondence to Guanghan Peng.

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Peng, G. A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system. Nonlinear Dyn 73, 1035–1043 (2013). https://doi.org/10.1007/s11071-013-0850-7

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  • DOI: https://doi.org/10.1007/s11071-013-0850-7

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