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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Liu, Zaiming¹  Yu, Senlin¹ 

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

关键词: Random environment;    Markov modulated;    M/M/C system;    Applied probability;   

DOI  :  10.1016/j.jmaa.2015.11.074

来源: Elsevier

【 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.

【 授权许可】

Free