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Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures
Authors:
B. Krishna Kumar a;
S. Pavai Madheswari a
| Affiliation: | a Department of Mathematics, Anna University, Chennai, India |
DOI:
10.1081/SAP-200050101
Publication Frequency:
6 issues per year
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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.
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| Keywords: Catastrophes; Server failure; Steady state distribution |
| Mathematics Subject Classification: Primary 60K25; 90B22; Secondary 60G10; 60G17 |
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