IJPAM: Volume 108, No. 1 (2016)
QUEUE SUBJECT TO TOTAL CATASTROPHES,
FAILURES AND REPAIRS
Department of Mathematics
SSN College of Engineering
SSN Nagar, Kalavakkam-603 110, TamilNadu, INDIA
Abstract. In this paper, a single server discouraged arrival queue
subject to catastrophes, server failures and non-zero repair time is
considered. Explicit expressions for the transient probabilities of system size are
obtained using continued fractions technique. The corresponding steady state
probabilities are deduced. Some important system performance measures
are discussed. Further, reliability and availability of the system
are analyzed.
Received: March 11, 2016
AMS Subject Classification: 60K25
Key Words and Phrases: discouraged arrivals, catastrophes, server failure, continued fractions, reliability analysis
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DOI: 10.12732/ijpam.v108i1.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 1
Pages: 93 - 106
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This work is licensed under the Creative Commons Attribution International License (CC BY).