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

被引：19

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

页码：556 / 567

页数：12

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