Performance analysis of a GI/M/1 queue with single working vacation

被引：36

作者：

Li, Jihong ^{[2
]}

Tian, Naishuo ^{[1
]}

机构：

[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China

[2] Shanxi Univ, Coll Management, Taiyuan 030006, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 10期

关键词：

Single working vacation; Matrix analytic approach; Closed property of conditional probability; Waiting time; Numerical results; TIME GI/GEO/1 QUEUE;

D O I：

10.1016/j.amc.2010.11.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a GI/M/1 queue with single working vacation. During the vacation period, the server works at a lower rate rather than stopping completely, and only takes one vacation each time. Using the matrix analytic approach, the steady-state distributions of the number of customers in the system at both arrival and arbitrary epochs are obtained. Then the closed property of the conditional probability of gamma distribution is proved and using it the waiting time of an arbitrary customer is analyzed. Finally, Some numerical results and effect of critical model parameters on performance measures have been presented. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：4960 / 4971

页数：12

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