带有中途退出的M／M／1／N单重工作休假排队系统  

The M/M/1/N Queuing System with Reneging and Single Working Vacation

作　　者：赵晓华[1] 樊剑武[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《山东工业技术》2014年第5期10-11,14,共3页Journal of Shandong Industrial Technology

基　　金：此文为秦皇岛市科学技术研究与发展规划项目研究成果,项目编号201101A114.

摘　　要：研究了一个带有中途退出的M／M／I／N单重工作休假排队系统。服务员在假期中以较低的速率服务顾客而非停止工作。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解，并得到了系统的平均队长、平均等待队长以及顾客的消失概率等性能指标。An M/M/1/N queuing system was considered with reneging and single working vacation. The server works at a lower rate rather than completely stops service during the vacation period. First, the matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as the expected number of customers in the system or in the queue and the loss probability of the customer were also presented.

关 键 词：单重工作休假 止步 稳态概率 矩阵解法 性能指标 

分 类 号：O226[理学—运筹学与控制论]