Convergence of the stationary distributions of M/M/s/K retrial queue as K tends to infinity

被引：2

作者：

Shin, Yang Woo ^{[1
]}

机构：

[1] Changwon Natl Univ, Dept Stat, Chang Won 641773, Gyeongnam, South Korea

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2008年 / 189卷 / 03期

关键词：

M/M/s/K retrial queue; M/M/s queue; convergence rate; censored Markov chain;

D O I：

10.1016/j.ejor.2007.03.052

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We investigate the convergence of the stationary distributions x(K) of M/M/s/K retrial queue to the stationary distribution pi of M/M/s queue as K tends to infinity. It is showed that x(K) converges geometrically to pi in l(1)-sense and the convergence rate is characterized by the traffic intensity rho = lambda/s mu' where lambda and mu are the arrival rate and service rate, respectively. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1104 / 1117

页数：14

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