Fluid model driven by an M/G/1 queue with multiple exponential vacations

被引：15

作者：

Mao, Bing-wei ^{[1
]}

Wang, Fu-wei ^{[2
]}

Tian, Nai-shuo ^{[1
]}

机构：

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

[2] Yanshan Univ, Coll Informat Sci & Engn, Qinhuangdao 066004, Hebei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Fluid queue; M/G/1; queue; Exponential vacation; Buffer content; Laplace transform; STOCHASTIC-THEORY;

D O I：

10.1016/j.amc.2011.08.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a fluid model driven by an M/G/1 queue with multiple exponential vacations. By introducing various vacation strategies to the fluid model, we can provide greater flexibility for the design and control of input rate and output rate. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial equation. Then the performance measure-mean buffer content, which is independent of the vacation parameter, is obtained. Finally, with some numerical examples, the parameter effect on the mean buffer content is presented. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：4041 / 4048

页数：8

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