Geo/Geo/1/N型离散时间单重工作休假排队  

Discrete Time Geo/Geo/1/N Queue with Single Working Vacation

作　　者：杜欣欣[1] 赵国会[1] 田乃硕[1] 赵晓华[1] 赵冬梅[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3期58-63,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(10671170)

摘　　要：本文研究了Geo/Geo/1/N型离散时间单重工作休假排队。服务台在假期以较低的速率服务顾客而非停止工作。使用拟生灭链,我们得到稳态下系统中顾客数的分布、顾客的等待时间以及消失概率。更进一步,我们通过数值例子分析了参数对顾客平均等待时间和消失概率的影响来说明我们的模型能够有效的代表一些实际问题。The paper considers a finite buffer single server discrete time Geo/Geo/1/N queue with single working vacation. The server works at a lower rate rather than completely stops service during the vacation period. Using quasi birth and death chain, we obtain the distribution of the number of customers in the system and the waiting time of a customer and the loss probability in the stationary state. Furthermore, using some numerical examples, we analyze the effect of the parameters on the expected waiting time and loss probability, and verify that our model represents some practical problems reasonably well.

关 键 词：离散时间排队 单重工作休假 拟生灭链 有限源 

分 类 号：O226[理学—运筹学与控制论]