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A new lattice model with the consideration of the traffic interruption probability for two-lane traffic flow

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Abstract

In this paper, we proposed a new lattice model of two-lane traffic flow considering the effects of traffic interruption probability. The stability condition is deduced from the linear stability analysis for two-lane freeways. Also, the modified Korteweg–de Vries equation is obtained to describe the traffic phase transition resulted from traffic interruption probability through nonlinear analysis in two-lane system. The numerical simulation results validate that the traffic interruption probability further improves the stability of traffic flow on two-lane freeways.

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Acknowledgments

The work presented here was partially supported by the Key Project of Chinese Ministry of Education (Grant No. 211123), Hunan Provincial Natural Science Foundation of China (Grant No. 14JJ2125), the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 10B072), Doctor Scientific Research Startup Project Foundation of Hunan University of Arts and Science, China (Grant No. BSQD1010), the Key Project of the Scientific Research Foundation of Hunan University of Arts and Science, China (Grant No. 13ZD14), Strategic research grant, City University of Hong Kong (Projects No. CityU-SRG 7004176) and Natural Science Foundation of China (Grant No. 11302125) and the Fund of the Key Construction Academic Subject (wireless physics) of Hunan University of Arts and Science, China.

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Authors and Affiliations

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

    Guang-Han Peng

  2. Logistics Research Center, Shanghai Maritime University, Shanghai, 200135, China

    Hong-Di He

  3. Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong, China

    Wei-Zhen Lu

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  1. Guang-Han Peng
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  2. Hong-Di He
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  3. Wei-Zhen Lu
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Correspondence to Wei-Zhen Lu.

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Peng, GH., He, HD. & Lu, WZ. A new lattice model with the consideration of the traffic interruption probability for two-lane traffic flow. Nonlinear Dyn 81, 417–424 (2015). https://doi.org/10.1007/s11071-015-2001-9

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  • DOI: https://doi.org/10.1007/s11071-015-2001-9

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