CAJ | 학술논문

在信号周期较短情况下，假定单十字路口各方向车辆到达率为不变的非负离散随机变量及初始时刻的车辆排队长度，建立车辆排队数学模型。通过控制周期内绿灯时间，使得在第K周期末排队车辆期望值最小（K为给定整数）。在给出求解模型的有效算法后，进行了仿真研究，结果表明模型效果较好。
재신호주기교단정황하，가정단십자로구각방향차량도체솔위불변적비부리산수궤변량급초시시각적차량배대장도，건립차량배대수학모형。통과공제주기내록등시간，사득재제K주기말배대차량기망치최소（K위급정정수）。재급출구해모형적유효산법후，진행료방진연구，결과표명모형효과교호。
Under condition that the cycle time of traffic light switches is relative short, the optimal control problem of traffic light at a single intersection is discussed. The objective is to minimize the expectation of queue length at the end of K-th cycle with K being a given integer. Given the queue length of vehicles from each direction at the initial moment, a queuing model is dev.eloped to describe this problem. Then, an efficient algorithm is proposed to solve it. A numerical example is used to verify the effectiveness of the proposed method.