Analysis of car-following model considering driver’s physical delay in sensing headway
Analysis of car-following model considering driver’s physical delay in sensing headway
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DOI：
10.1016/j.physa.2008.01.103
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发表时间：
2008-05
影响因子：
3.3
通讯作者：
H. Zhu;S. Dai
中科院分区：
文献类型：
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作者：
H. Zhu;S. Dai
考虑驾驶员感知车头时距的反应延迟，提出了一种扩展的跟驰模型。利用线性稳定性理论，得到了该模型的稳定性条件。结果表明，当驾驶员感知车头时距的物理延迟增加时，稳定区域减小。应用约化摄动法导出了中性稳定线附近的KdV方程和临界点附近的mKdV方程。交通阻塞可以分别用KdV方程和mKdV方程表示的孤子解和扭结-反扭结孤子解来描述。以车头时距的时空演化形式给出的数值结果表明，当驾驶员的物理延迟增加时，稳定效果减弱。结果表明，驾驶员感知车头时距的响应延迟对干扰过渡起着重要作用，数值计算结果与理论分析吻合较好。
An extended car-following model is proposed by taking into account the delay of the driver’s response in sensing headway. The stability condition of this model is obtained by using the linear stability theory. The results show that the stability region decreases when the driver’s physical delay in sensing headway increases. The KdV equation and mKdV equation near the neutral stability line and the critical point respectively, are derived by applying the reductive perturbation method. The traffic jams could be thus described by soliton solution and kink–antikink soliton solution expressed by KdV equation and mKdV equation respectively. The numerical results in the form of the space–time evolution of headway show that the stabilization effect is weakened when the driver’s physical delay increases. It confirms the fact that the delay of driver’s response in sensing headway plays an important role in jamming transition, and the numerical results are in good agreement with the theoretical analysis.