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Optimal replacement policies for a deteriorating system with imperfect maintenance

Published online by Cambridge University Press:  01 July 2016

A. Rangan  and
R. Esther Grace
A. Rangan
Affiliation:
Indian Institute of Technology, Madras
R. Esther Grace*
Affiliation:
Indian Institute of Technology, Madras
*
∗Postal address for both authors: Department of Mathematics, Indian Institute of Technology, Madras – 600 036, India.
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Abstract

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A system is repaired on failure. With probability p, it is returned to the ‘good as new' state (perfect repair) and with probability 1 – p, it is returned to the functioning state, but is only as good as a system of age equal to its age at failure (imperfect repair). In this article, we develop replacement policies for a deteriorating system with imperfect maintenance. The successive survival times and consecutive repair times form a geometric process which is stochastically non-increasing or non-decreasing respectively. Explicit expressions are obtained for the long-run expected cost under two kinds of replacement policies based on the working age of the system and the number of imperfect repairs before a replacement.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 21 , Issue 4 , December 1989 , pp. 949 - 951
Copyright
Copyright © Applied Probability Trust 1989 

References

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