Density waves in a traffic flow model with reaction-time delay

作者：Yu, Lei^*; Li, Tong; Shi, Zhong-Ke

来源：Physica A: Statistical Mechanics and Its Applications , 2010, 389(13): 2607-2616.

DOI：10.1016/j.physa.2010.03.009

• Optimal velocity model
• Reaction-time delay
• Traffic flow
• Density wave
• Numerical simulations

Density waves are investigated analytically and numerically in the optimal velocity model with reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. The results show that the decrease of reaction-time delay of drivers leads to the stabilization of traffic flow. The Burgers, Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations are derived to describe the density waves in the stable, metastable and unstable regions respectively. The triangular shock waves, soliton waves and kink-antikink waves appearing respectively in the three distinct regions are derived to describe the traffic jams. The numerical simulations are given.

• 出版日期2010-7-1
• 单位西北工业大学