Analysis of Queues in a Random Environment with Impatient Customers

被引：0
|
作者：
Sen-lin YU [1 ]
Zai-ming LIU [1 ]
机构：
[1] School of Mathematics and Statistics, Central South University
来源：
Acta Mathematicae Applicatae Sinica | 2017年 / 33卷 / 04期
基金：
中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;
关键词：
random environment; Markov modulated; queues; impatient customers;
D O I：
暂无
中图分类号：
O211.62 [马尔可夫过程];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study M/M/c queues(c = 1, 1 < c < ∞ and c = ∞) in a Markovian environment with impatient customers. The arrivals and service rates are modulated by the underlying continuous-time Markov chain.When the external environment operates in phase 2, customers become impatient. We focus our attention on the explicit expressions of the performance measures. For each case of c, the corresponding probability generating function and mean queue size are obtained. Several special cases are studied and numerical experiments are presented.
引用
收藏
页码：837 / 850
页数：14
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