Analysis of average density difference effect in a new two-lane lattice model

Geng Zhang (), Di-Hua Sun (), Min Zhao (), Wei-Ning Liu () and Sen-Lin Cheng ()
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Geng Zhang: School of Automation, Chongqing University, Chongqing 400044, China;
Di-Hua Sun: School of Automation, Chongqing University, Chongqing 400044, China;
Min Zhao: School of Automation, Chongqing University, Chongqing 400044, China
Wei-Ning Liu: Key Laboratory of Dependable Service Computing in Cyber, Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
Sen-Lin Cheng: School of Automation, Chongqing University, Chongqing 400044, China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 06, 1-12

Abstract: A new lattice model is proposed by taking the average density difference effect into account for two-lane traffic system according to Transportation Cyber-physical Systems. The influence of average density difference effect on the stability of traffic flow is investigated through linear stability theory and nonlinear reductive perturbation method. The linear analysis results reveal that the unstable region would be reduced by considering the average density difference effect. The nonlinear kink–antikink soliton solution derived from the mKdV equation is analyzed to describe the properties of traffic jamming transition near the critical point. Numerical simulations confirm the analytical results showing that traffic jam can be suppressed efficiently by considering the average density difference effect for two-lane traffic system.

Keywords: Traffic flow; two-lane lattice model; mKdV equation; average density difference effect; 45.70.Vn; 05.45.-a (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S012918311550062X

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