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Article

# Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption

Department of Computer Engineering, Guangxi University of Technology, 545006, Liuzhou, Guangxi, China
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Author to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(2), 112-121; https://doi.org/10.3390/mca18020112
Published: 1 August 2013

## Abstract

In this paper, we present a new lattice model of traffic flow by considering the effects of traffic interruption probability. The stability condition of the proposed model is obtained by employing the linear stability theory. The results show that the stability of traffic flow is improved by considering the influence of traffic interruption. Applying the method of nonlinear analysis, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic behavior near the critical point. The kink- antikink soliton and the solution of the mKdV equation are obtained to describe the traffic jams. The good agreement between theoretical analysis and numerical simulation indicates that our new consideration can stabilize the traffic flow effectively.
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## Share and Cite

MDPI and ACS Style

Yang, S.-H.; Li, C.-G.; Xia, D.-X.; Wang, M.; Wang, X.-R. Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption. Math. Comput. Appl. 2013, 18, 112-121. https://doi.org/10.3390/mca18020112

AMA Style

Yang S-H, Li C-G, Xia D-X, Wang M, Wang X-R. Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption. Mathematical and Computational Applications. 2013; 18(2):112-121. https://doi.org/10.3390/mca18020112

Chicago/Turabian Style

Yang, Shu-Hong, Chui-Gui Li, Dong-Xue Xia, Meng Wang, and Xiao-Rong Wang. 2013. "Modeling and Simulation of a Traffic Flow Model Considering the Influence of Traffic Interruption" Mathematical and Computational Applications 18, no. 2: 112-121. https://doi.org/10.3390/mca18020112

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