Stabilization Analysis Of A Multiple Look-Ahead Model With Driver Reaction Delays
Stabilization Analysis Of A Multiple Look-Ahead Model With Driver Reaction Delays
复制标题
DOI：
10.1142/s0129183112500489
复制
发表时间：
2012-07
影响因子：
1.9
通讯作者：
Jian-zhong Chen;Zhong-ke Shi;Yan-mei Hu
中科院分区：
文献类型：
--
作者：
Jian-zhong Chen;Zhong-ke Shi;Yan-mei Hu
考虑驾驶员的反应时间延迟，扩展了多前视模型。利用线性稳定性理论，得到了该模型的稳定性条件。通过非线性分析，导出了中性稳定线附近的Korteweg-de弗里斯（KdV）方程和临界点附近的修正KdV（mKdV）方程。分析和仿真结果均表明，随着驾驶员反应时间延迟的增加，交通流的稳定性减弱，而多重前瞻性考虑可以部分弥补这一不利影响.
A multiple look-ahead model is extended to take into account the reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. Through nonlinear analysis, the Korteweg–de Vries (KdV) equation near the neutral stability line and the modified KdV (mKdV) equation near the critical point are derived. Both the analytical and simulation results demonstrate that the stabilization of traffic flow is weakened with increasing the reaction-time delay of drivers, and multiple look-ahead consideration could partially remedy this unfavorable effect.