The M/M/C queueing system in a random environment

被引：20
|
作者：
Liu, Zaiming [1 ]
Yu, Senlin [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 436卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Random environment; Markov modulated; M/M/C system; Applied probability; MODULATED SERVICE RATES; M/G/1; QUEUE; MARKOV; TIMES;
D O I：
10.1016/j.jmaa.2015.11.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An M/M/C queueing system operating in a Markovian environment is studied. This paper focuses on the stationary behavior and presents the theoretical framework. For a special case, analytical results are derived that are analogous to the classical solutions for the simple M/M/C queue. The elaborate analysis of a specific case is given to illustrate the basic idea of the framework. A technical proof with respect to the existence of d - 1 roots is displayed to sustain the corresponding theory. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：556 / 567
页数：12
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