工作休假和忙期可转化的M/M/1排队  

Working Vacation and Busy Period Can be Transferred in M/M/1 Queue

作　　者：师海燕[1] 魏淳[2] 卢永红[1] 

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009 [2]山西大同大学物理与电子科学学院,山西大同037008

出　　处：《山西大同大学学报（自然科学版）》2015年第5期13-15,共3页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：国家自然科学基金项目[11301312]

摘　　要：研究了工作休假和忙期可转化的M/M/1排队。系统启动后服务台为顾客进行服务,直到系统变空,进入一个空闲期。在空闲期没有顾客到的话,服务台开始一个工作休假。工作休假并不是完全停止服务,而是低速率为顾客服务。在这个排队中,工作休假可以暂停,进入忙期。用随机模型的矩阵几何解,得到稳定状态下平均顾客数的分布及其概率生成函数。此外,也获得顾客数和顾客在系统中等待时间的随机分解以及多余顾客数的分布和额外等的时间的LST。In the paper, working vacation and busy period can be transferred in M/M/1 queue. When the system starts up, the desk begins to provide customs with service until the system is empty, coming to an delay period. In this period, if there are no customs,the desk starts a working vacation. It is no a complete stop of service, but service at a lower rate. In this model, the working vacation can be suspended. Using random matrix geometric solution of the model, it gets the distribution of the number of customers in steadystate and its probability generating function. In addition, it obtains the number of customers and waiting time of stochastic decomposition and distribution of additional numbers and the LST of additional delay.

关 键 词：工作休假 忙期 M/M/1 矩阵几何解 随机分解 

分 类 号：O226[理学—运筹学与控制论]