Transient analysis of a single server queue with catastrophes, failures and repairs
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 pro...
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| Published in | Queueing systems Vol. 56; no. 3-4; pp. 133 - 141 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer Nature B.V
01.08.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0257-0130 1572-9443 |
| DOI | 10.1007/s11134-007-9014-0 |
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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. [PUBLICATION ABSTRACT] |
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| AbstractList | 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. [PUBLICATION ABSTRACT] |
| Author | Krishnamoorthy, A. Pavai Madheswari, S. Krishna Kumar, B. Sadiq Basha, S. |
| Author_xml | – sequence: 1 givenname: B. surname: Krishna Kumar fullname: Krishna Kumar, B. – sequence: 2 givenname: A. surname: Krishnamoorthy fullname: Krishnamoorthy, A. – sequence: 3 givenname: S. surname: Pavai Madheswari fullname: Pavai Madheswari, S. – sequence: 4 givenname: S. surname: Sadiq Basha fullname: Sadiq Basha, S. |
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| SubjectTerms | Communication Customer services Failure Investigations Mathematics Probability Queuing Random variables Servers Service stations Studies |
| Title | Transient analysis of a single server queue with catastrophes, failures and repairs |
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