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Availability of a series system with replacement and repair

Published online by Cambridge University Press:  14 July 2016

B. B. Fawzi  and
A. G. Hawkes
B. B. Fawzi
Affiliation:
University College of Swansea
A. G. Hawkes*
Affiliation:
University College of Swansea
*
∗ Postal address for both authors: Department of Management Science and Statistics, University College of Swansea, Singleton Park, Swansea SA2 8PP, UK.
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Abstract

We consider two models for the reliability of a series system of components with spares, serviced by a single service facility. Replacement of failed components by a spare has pre-emptive priority over repair of the failed components; the models differ in whether interrupted repairs resume from where they left off, or restart from the beginning. We find the availability of such systems: numerical results indicate that this is insensitive to the shape of the repair-time and replacement-time distributions. We also obtain the distribution of system downtime for these models.

Keywords

DOWNTIMEPRE-EMPTIVE PRIORITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 4 , December 1990 , pp. 873 - 887
Copyright
Copyright © Applied Probability Trust 1990 

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References

Beaumont, G. P. (1983) Introductory Applied Probability. Ellis Horwood, Chichester.Google Scholar
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