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- Title
Analysis of average density difference effect in a new two-lane lattice model.
- Authors
Zhang, Geng; Sun, Di-Hua; Zhao, Min; Liu, Wei-Ning; Cheng, Sen-Lin
- 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.
- Subjects
LATTICE models (Statistical physics); STABILITY of linear systems; PERTURBATION theory; NONLINEAR systems; TRAFFIC congestion; KORTEWEG-de Vries equation
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2015, Vol 26, Issue 6, p-1
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S012918311550062X