摘要
An optimal current lattice model with backward-looking effect is proposed to describe the motion of trafficflow on a single lane highway.The behavior of the new model is investigated analytically and numerically.The stability,neutral stability,and instability conditions of the uniform flow are obtained by the use of linear stability theory.Thestability of the uniform flow is strengthened effectively by the introduction of the backward-looking effect.The numericalsimulations are carried out to verify the validity of the new model.The outcomes of the simulation are correspondingto the linearly analytical results.The analytical and numerical results show that the performance of the new model isbetter than that of the previous models.
An optimai current lattice model with backward-looking effect is proposed to describe the motion of traffic flow on a single lane highway. The behavior of the new model is investigated anaiytically and numerically. The stability, neutrai stability, and instability conditions of the uniform flow are obtained by the use of linear stability theory. The stability of the uniform flow is strengthened effectively by the introduction of the backward-looking effect. The numerical simulations are carried out to verify the validity of the new model. The outcomes of the simulation are corresponding to the linearly analyticai results. The analytical and numerical results show that the performance of the new model is better than that of the previous models.
基金
National Natural Science Foundation of China under Grant No.60674062
Middle-Aged and Young Scientists Research Incentive Fund of Shandong Province under Grant No.2007BS01013
关键词
反向作用
晶格模型
电流
线性稳定性
backward looking effect, lattice model, optimal current, linear stability theory
