假设车速为在最小速度和自由流速度之间的截断正态分布,从交通流密度的角度分析了上游交叉口的排队车辆在绿灯放行后在下游道路行驶过程中的离散特性。构造了车队在时空坐标上的交通流密度函数的分段计算公式。给出了整个车队通过和未通过下游断面的车辆数计算公式,以及上下游断面的流量分布模式,得出了车队密度离散模型。基于此,本文推导了车队头尾部离散模型,以方便在信号灯协调控制中应用。最后,以相邻交叉口信号协调控制为例,验证了模型的有效性。%Assuming the vehicle speed follows a truncated normal distribution ranging from a minimum speed to a free flow speed, the dispersion characteristics of queuing platoon as it moves down from the upstream intersection were analyzed from the aspect of traffic flow density. The piecewise calculation formulas of the traffic flow density function of the platoon at temporal-spatial coordinates were derived. The calculation formulas were derived for the numbers of vehicles of the platoon having passed and not passed a downstream section, and the traffic flow distribution modes at upstream and downstream sections were obtained. A platoon density dispession model was established. The dispession models at the front and rear of the platoon were also derived to facilitate the coordination in a traffic signal control system. Taking the numerical calculation about the coordinate control of signals in the successive intersections as an example, the proposed model was validated.
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