A stochastic wave propagation model

雩风三日

A stochastic wave propagation model
随机波传播模型

     We introduce in this paper gap time, the time taken for a following vehicle to travel at its current speed the distance
between its head position and the position of the rear of its leading vehicle, as a fundamental parameter for modeling some
prominent features of congested traffic, namely the scatter of the fundamental diagram and the growth and decay of traffic
disturbances on highways. In the model, traffic waves propagate in a stochastic manner and their speeds are determined by
the relative differences between gap times and the reaction times of drivers. The scatter on the fundamental diagram and
the growth and decay of perturbations are explained by random fluctuations of gap time and random transitions of traffic
states on the fundamental diagram, respectively. Empirical data are used to validate the model and the evaluation shows
close correspondence between model predictions and field observations.
    本文介绍差距,以下车辆旅行所花费的时间以当前速度头位置之间的距离和前导车的后方的位置,作为建模的基本参数拥堵的交通,一些知名的特性即散射的基本图和在高速公路上交通干扰的增长和衰减。在该模型中，交通波以随机方式传播，其速度由驾驶员的间隔时间和反应时间的相对差异决定。基本图上的散射和微扰的增长和衰减分别用间隙时间的随机波动和交通状态在基本图上的随机过渡来解释。利用经验数据对模型进行了验证，结果表明模型预测结果与现场观测结果吻合较好。

Keywords: Gap time; Stochastic wave propagation; Car-following
关键字：间隔时间； 随机波传播； 跟车