非线性系统
流量(计算机网络)
理论(学习稳定性)
摄动(天文学)
线性稳定性
计算机科学
流量(数学)
计算机模拟
控制理论(社会学)
密度波理论
机械
应用数学
物理
模拟
数学
计算机安全
控制(管理)
量子力学
机器学习
人工智能
凝聚态物理
作者
Geng Zhang,Dihua Sun,Weining Liu,Hui Liu
标识
DOI:10.1142/s0217984915500979
摘要
In this paper, a new car-following model is proposed by considering driver’s desired velocity according to Transportation Cyber Physical Systems. The effect of driver’s desired velocity on traffic flow has been investigated through linear stability theory and nonlinear reductive perturbation method. The linear stability condition shows that driver’s desired velocity effect can enlarge the stable region of traffic flow. From nonlinear analysis, the Burgers equation and mKdV equation are derived to describe the evolution properties of traffic density waves in the stable and unstable regions respectively. Numerical simulation is carried out to verify the analytical results, which reveals that traffic congestion can be suppressed efficiently by taking driver’s desired velocity effect into account.
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