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Stochastic Analysis and Applications Volume 23, 2005 - Issue 2
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Original Articles

Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

B. Krishna Kumar Department of Mathematics, Anna University, Chennai, IndiaCorrespondence[email protected]
&
S. Pavai Madheswari Department of Mathematics, Anna University, Chennai, India
Pages 329-340 | Received 25 Jan 2004, Accepted 27 May 2004, Published online: 05 Aug 2006
 
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ABSTRACT

A transient solution for the system size in the M/M/1 queueing system with the possibility of catastrophes and server failures is analyzed. The steady state probabilities of the system size are also derived. Some important performance measures are discussed. Finally, the reliability and availability of the system are obtained.

Mathematics Subject Classification:

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