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.
出处
《运筹与管理》
CSCD
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)
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
operational research
discrete time queue
start-up time
single working vacation
quasi birth anddeath chain
matrix-geometric solution method.
作者简介
赵冬梅（1976-），女，硕士研究生，研究方向：运筹学与控制论；
张家雷（1976-），讲师；
田乃硕，博士生导师。
