Transient solution of an M/M/ queue with catastrophes

被引：4
|
作者：
Bura, Gulab Singh [1 ]
机构：
[1] Banasthali Univ, Dept Math & Stat, Vanasthali 304022, Rajasthan, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 14期
关键词：
M; queueing model; disasters; breakdown; catastrophes; time dependent analysis; continued fraction; confluent hypergeometric function; Primary; 90B22; Secondary; 60K25;
D O I：
10.1080/03610926.2018.1477960
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we consider an M/M/ queue with catastrophes. We study the model and obtain the time dependent solution by using continued fraction techniques. The corresponding steady state probabilities are also deduced. Further, we have obtained some important measures of the studied model. At the end, we provide some numerical examples to visualize the applicability of the model in practical situations.
引用
收藏
页码：3439 / 3450
页数：12
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