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
收藏
页码：1104 / 1117
页数：14
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