Transient analysis of a single server queue with catastrophes, failures and repairs

被引：45
|
作者：
Kumar, B. Krishna [1 ]
Krishnamoorthy, A.
Madheswari, S. Pavai
Basha, Sadiq
机构：
[1] Anna Univ, Dept Math, Madras 600025, Tamil Nadu, India
[2] Cochin Univ Sci & Technol, Dept Math, Cochin 682022, Kerala, India
来源：
QUEUEING SYSTEMS | 2007年 / 56卷 / 3-4期
关键词：
time-dependent analysis; catastrophes; server failure; continued fractions; steady state; throughput; loss probability;
D O I：
10.1007/s11134-007-9014-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A transient solution is obtained analytically using continued fractions for the system size in an M/M/1 queueing system with catastrophes, server failures and non-zero repair time. The steady state probability of the system size is present. Some key performance measures, namely, throughput, loss probability and response time for the system under consideration are investigated. Further, reliability and availability of the system are analysed. Finally, numerical illustrations are used to discuss the system performance measures.
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页码：133 / 141
页数：9
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