A BMAP|PH|1 queue with feedback operating in a random environment

被引：12
|
作者：
Krieger, U [1 ]
Klimenok, VI
Kazimirsky, AV
Breuer, L
Dudin, AN
机构：
[1] Belarusian State Univ, Dept Appl Math & Informat, Minsk, BELARUS
[2] Comp Sci Univ, Trier, Germany
[3] Otto Friedrich Univ, Dept Informat Syst & Appl Comp Sci, Bamberg, Germany
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 41卷 / 8-9期
关键词：
batch Markovian arrival process; phase type service; feedback; random environment; algorithm;
D O I：
10.1016/j.mcm.2004.11.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Feedback queues play an important role in real-life service systems, where customers may require repeated services. In this paper, we consider a feedback queue with batch Markovian arrivals and phase type services. We further assume that both the arrival process and service times are influenced by an external finite state Markovian environment. The stationary state distributions of the queue and the sojourn time are calculated and numerical examples are presented. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：867 / 882
页数：16
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