带启动期的Geo/Geo/1/SWV排队系统  

Analysis of the Geo/Geo/1/SWV Queue with Start-up Time

作　　者：赵冬梅[1] 张家雷[1] 田乃硕[1] 杜欣欣[1] 赵国会[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《运筹与管理》2008年第4期72-78,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(10671170)

摘　　要：考虑带启动期的Geo/Geo/1单重工作休假排队系统,简记为Geo/Geo/1/SWV。服务台在休假期间,不是立即停止服务,而是以较低的服务率为顾客提供服务。应用拟生灭链以及矩阵几何解的方法,本文给出了稳态下顾客数的概率分布、平均队长以及顾客的平均逗留时间,最后通过数值例子说明我们的模型可以较好的模拟一些实际问题。We consider a discrete time Geo/Geo/1 queue with a start-up time and single working vacation, in short, Geo/Geo/1/SWV. The server works at a lower rate rather than completely stops service during the vacation time. Using quasi birth and death chain and matrix-geometric solution method, we obtain the distribution of the number of customers in the system, the average number of the customers and the average sojourn time of a customer in the stationary state. Finally, using some numerical examples, we verify that our model can represent some practical problems reasonably well.

关 键 词：运筹学 离散时间排队 启动期 单重工作休假 拟生灭链 矩阵几何解 

分 类 号：O226[理学—运筹学与控制论]