The BMAP/PH/1 retrial queueing system operating in random environment

被引：15
|
作者：
Kim, Che Soong [1 ]
Klimenok, Valentina
Lee, Sang Cheon
Dudin, Alexander
机构：
[1] Sangji Univ, Wonju 220702, Kangwon, South Korea
[2] Gyeongsang Natl Univ, Jinju 660701, South Korea
[3] Belarusian State Univ, Minsk 220030, BELARUS
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2007年 / 137卷 / 12期
基金：
新加坡国家研究基金会;
关键词：
retrial queueing system; batch Markovian arrival process; phase-type service; Markovian random environment;
D O I：
10.1016/j.jspi.2007.04.009
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
A single-server retrial queueing model with the batch Markovian arrival process and phase-type service time distribution is analyzed. The system has R operation modes which are switched by a Markovian random environment. The multi-dimensional Markov chain describing the behavior of the system is investigated by means of continuous time asymptotically quasi-toeplitz Markov chains. It allows to obtain a constructive form ergodicity condition and elaborate stable algorithms for calculating the stationary distribution. Main performance measures are computed. Numerical illustrations are presented. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：3904 / 3916
页数：13
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