Lattice models of traffic flow considering drivers' delay in response

• 来源期刊: 中国物理B（英文版）
• 关键词: lattice hydrodynamic model traffic jams analytical method drivers'delay in response
• 年，卷（期）: 2009,（4）
• 页码范围: 1322-1327
• 页数: 6页
• 语种: 英文

摘要

This paper proposes two lattice traffic models by taking into account the drivers'delay in response.The lattice versions of the hydrodynamic model are described by the differential-difference equation and difference-difference equation.respectively.The stability conditions for the two models are obtained by using the linear stability theory.The modified KdV equation near the critical point is derived to describe the traffic jam by using the reductive perturbation method,and the kink-antikink soliton solutions related to the traffic density waves are obtained.The results show that the drivers'delay in sensing headway plays an important role in jamming transition.