一维交通流元胞自动机NS模型的统计平均解耦处理

A Statistical Mechanical Approach to the Cellular Automaton NS Model of One-Dimensional Traffic Flow

将文献 [12 ]提出的统计平均解耦处理方法推广应用到一维交通流元胞自动机 NS模型 ,根据概率论的定义 ,建立一维交通流元胞自动机 NS模型多格点耦合的空间关联函数 ,得出 t→∞情况下平均速度随减速概率和车辆密度变化的平均场方程 ,通过近似解耦处理得出车辆密度、速度及刹车概率三者的关系 .模拟结果表明 ,车流平均速度与理论结果符合得较好 .

With the approach applied in the literature \,we study the celluar automaton model for one-dimensional traffic flow proposed by Nagel-Schreckenberg (NS).Mean field equations are obtained.This gives the average car speed in the long time limit as a fuction of the car density and the brake probability. The results are in good agreement with the simulation results.