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A new car-following model with consideration of anticipation driving behavior

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Abstract

A new anticipation driving car-following (AD-CF) model is presented based on the effect of traffic anticipation in the real world. The model’s linear stability condition was obtained by applying the linear stability theory. Additionally, a modified Korteweg–de Vries (mKdV) equation was derived via nonlinear analysis to describe the propagating behavior of traffic density wave near the critical point. Good agreement between the simulation and the analytical results shows that the stability of traffic flow can be enhanced when the driver’s anticipation effects are considered.

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Acknowledgements

This work is supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022) and the Natural Science Foundation Project of CQ CSTC of China (Grant No. CSTC2012JJB40002).

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Authors and Affiliations

  1. Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education, Chongqing, 400030, China

    Lin-Jiang Zheng, Chuan Tian, Di-Hua Sun & Wei-Ning Liu

  2. College of Computer Science, Chongqing University, Chongqing, 400030, China

    Lin-Jiang Zheng & Wei-Ning Liu

  3. College of Automation, Chongqing University, Chongqing, 400030, China

    Di-Hua Sun

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  1. Lin-Jiang Zheng
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  2. Chuan Tian
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  3. Di-Hua Sun
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  4. Wei-Ning Liu
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Correspondence to Lin-Jiang Zheng.

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Zheng, LJ., Tian, C., Sun, DH. et al. A new car-following model with consideration of anticipation driving behavior. Nonlinear Dyn 70, 1205–1211 (2012). https://doi.org/10.1007/s11071-012-0524-x

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  • DOI: https://doi.org/10.1007/s11071-012-0524-x

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