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

Authors:
B. Krishna Kumar;A. Krishnamoorthy;S. Pavai Madheswari;S. Sadiq Basha
Affiliations:
Department of Mathematics, Anna University, Chennai, India 600 025;Department of Mathematics, Cochin University of Science and Technology, Cochin, India 682 022;Department of Mathematics, Anna University, Chennai, India 600 025;Department of Mathematics, Anna University, Chennai, India 600 025
Venue:
Queueing Systems: Theory and Applications
Year:
2007

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Abstract

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.