随机车辆流的单路口信号灯最优控制

工业工程 ›› 2011, Vol. 14 ›› Issue (3): 133-136.

随机车辆流的单路口信号灯最优控制

1.天津工业大学管理学院，天津 300384；2.天津大学管理学院，天津 300070

出版日期:2011-06-30 发布日期:2011-07-08
作者简介:袁二明（1976-），女，天津市人，副教授，博士，主要研究方向为工业工程、智能交通系统、决策控制等.
基金资助:
天津市应用基础及前沿技术研究计划重点项目（08JCZDJC24200）

Optimal Control for a Single Traffic Intersection with Random Arrival Rate

1.School of Management, Tianjin Polytechnic University, Tianjin 300384,China;
2.Management school, Tianjin University. Tianjin 300070, China

Online:2011-06-30 Published:2011-07-08

摘要/Abstract

摘要： 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。

关键词: 交通控制, 排队论, 随机变量

Abstract: 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 developed 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.

Key words: traffic control, queuing theory, random variable

袁二明1，李彪2. 随机车辆流的单路口信号灯最优控制[J]. 工业工程, 2011, 14(3): 133-136.

Yuan Er-ming1, Li Biao2. Optimal Control for a Single Traffic Intersection with Random Arrival Rate[J]. Industrial Engineering Journal , 2011, 14(3): 133-136.

参考文献

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