A hysteretic queueing system with random server capacity

被引：2
|
作者：
Tadj, L
Benkherouf, L
Aggoun, L
机构：
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
[2] Sultan Qaboos Univ, Coll Sci, Dept Math & Stat, Muscat 123, Oman
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 38卷 / 01期
关键词：
hysteresis; r-quorum models; q-discipline; N-policy; embedded Markov chain; semi-regenerative process;
D O I：
10.1016/S0898-1221(99)00168-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider in this paper, an r-quorum queueing system with random server capacity under N-policy discipline (hysteretic system). We find a necessary and sufficient condition for ergodicity, the probability generating function of the steady state vector of probabilities for the embedded process and the continuous time parameter, and some system characteristics. The decomposition property is checked for both discrete and continuous time parameter processes. Special cases are considered and examples are provided. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：51 / 61
页数：11
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