交通流时空描述模型

Time-space Description Model of Traffic Flow

为了描述车辆排队的演化规律并揭示交通多米诺效应的形成机理,基于图论和矩阵论,从实际问题的需求出发,建立一套描述交通流时空特性的模型体系。首先,分别建立信号配时描述函数、道路特性描述函数和交通流特性描述函数;然后,提出交通流与时间的关联函数和交通流与空间的关联函数;最后,以一个平面十字交叉口为例,给出分支向量、车道向量、车道属性向量、交通流存在性矩阵、流量矩阵、交通流冲突矩阵、信号相位矩阵、交通流-相位关联矩阵和交通流-车道关联矩阵。结果表明:本文所述模型能为研究车辆排队的网络效应提供有力工具。

To describe the evolution principle of vehicle queue and reveal the formation mechanism of traffic domino effect, a model system for describing the time-space characteristics of traffic flow was developed on the basis of graph theory and matrix theory by considering the need of the actual problem. First, the description functions of signal timing, road characteristics and traffic flow characteristics were built respectively. Second, the functions associating traffic flow with time and space were constructed. Finally, taking an example of a plain intersection, branch vector, lane vector, lane attribute vector, existence matrix of traffic flow, flow matrix, conflict matrix of traffic flows, signal phase matrix, association matrixes of traffic flow with time and space were presented. The result shows that the model system can provide an effective tool for studying the domino effect of vehicle queue.