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Availability of an R-out-of-N system with spares and repairs

Published online by Cambridge University Press:  14 July 2016

B. B. Fawzi  and
Alan G. Hawkes
B. B. Fawzi
Affiliation:
University College of Swansea
Alan G. Hawkes*
Affiliation:
University College of Swansea
*
∗Postal address: Statistics and Operational Research Group, European Business Management School, University College of Swansea, Singleton Park, Swansea SA2 8PP, UK.
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Abstract

We obtain the equilibrium solutions of an R-out-of-N system subject to random breakdown. There are M spares and a single repairman, who instals good spares into the system when breakdowns occur and also repairs the failed items. Installation has pre-emptive repeat priority over repairs. Arbitrary distributions of installation and repair times are allowed. Equilibrium availability and downtime distributions are obtained from the equilibrium state distribution.

Keywords

DOWNTIMEPRE-EMPTIVE REPEATRANDOM BREAKDOWN
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 2 , June 1991 , pp. 397 - 408
Copyright
Copyright © Applied Probability Trust 1991 

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References

Cox, D. R. and Smith, W. L. (1961) Queues. Methuen, London.Google Scholar
Fawzi, B. B. and Hawkes, A. G. (1989) Availability of Markov systems with spares and repair facilities. Paper presented at Brighton Conference of the National Centre of Systems Reliability and the Institute of Quality Assurance, Reliability '89, 2B/4/1–19.Google Scholar
Fawzi, B. B. and Hawkes, A. G. (1990) Availability of a series system with replacement and repair. J. Appl. Prob. 27, 873–887.10.2307/3214830Google Scholar