Lattice hydrodynamic traffic flow model with explicit drivers’ physical delay

被引：0
作者：
Yi-Rong Kang
Di-Hua Sun
机构：
[1] Ministry of Education,Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University)
[2] Chongqing University,College of Automation
来源：
Nonlinear Dynamics | 2013年 / 71卷
关键词：
Drivers’ delay; Lattice hydrodynamic model; Traffic flow; mKdV equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An extended lattice hydrodynamic model is presented by considering the effect of drivers’ delay in sensing relative flux. The linear stability criterion of the new model is obtained by employing the linear stability theory. By means of nonlinear analysis method, the modified Korteweg–deVries (mKdV) equation near the critical point is constructed and solved. The propagation behavior of traffic jam can thus be described by the kink–antikink soliton solution for the mKdV equation. The good agreement between the simulation results and the analytical results show that the drivers’ delay in sensing relative flux effect plays an important role in traffic jamming transition.
引用
收藏
页码：531 / 537
页数：6
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