Multiple flux difference effect in the lattice hydrodynamic model  

作　　者：Wang Tao Gao Zi-You Zhao Xiao-Mei 王涛;高自友;赵小梅(MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology,Beijing Jiaotong University,Beijing 100044,China;College of Automation&Electronic Engineering,Qingdao University of Science&Technology,Qingdao 266042,China)

机构地区：[1]MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology,Beijing Jiaotong University,Beijing 100044,China [2]College of Automation&Electronic Engineering,Qingdao University of Science&Technology,Qingdao 266042,China

出　　处：《Chinese Physics B》2012年第2期210-217,共8页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.70631001 and 71071012);the Fundamental Research Funds for the Central Universities (Grant Nos.2009JBM045 and 2011YJS235)

摘　　要：Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reduetive perturbation method. The modified KdV （mKdV） equation near the critical point is derived and the kink antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result.Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reduetive perturbation method. The modified KdV （mKdV） equation near the critical point is derived and the kink antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result.

关 键 词：flux difference lattice hydrodynamic model traffic flow mKdV equation 

分 类 号：TQ021.1[化学工程]