Stochastic inequalities for M/G/1 retrial queues with vacations and constant retrial policy

被引：15

作者：

Boualem, Mohamed ^{[1
]}

Djellab, Natalia ^{[2
]}

Aissani, Djamil ^{[1
]}

机构：

[1] Univ Bejaia, LAMOS, Bejaia 06000, Algeria

[2] Univ Badji Mokhtar, Dept Math, Annaba 23000, Algeria

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 1-2期

关键词：

Retrial queues with vacations; Stochastic ordering; Stationary distribution; MEASURE-VALUED DIFFERENTIATION; SERVER VACATIONS; MARKOV-CHAINS;

D O I：

10.1016/j.mcm.2009.03.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider an M/G/1 retrial queue with vacations and we derive several stochastic comparison properties in the sense of strong stochastic ordering and convex ordering. The stochastic inequalities provide simple insensitive bounds for the stationary queue length distribution. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：207 / 212

页数：6

共 20 条

[1]

[Anonymous], 2007, INTRO DISCRETE EVENT

[2]

Artalejo J., 2002, REV MAT COMPLUT, V15, P101, DOI DOI 10.5209/REV_

[3] Analysis of an M/G/1 queue with constant repeated attempts and server vacations [J].