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An optimal inspection–repair–replacement policy for standby systems

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Lam Yeh
Lam Yeh*
Affiliation:
The Chinese University of Hong Kong
*
∗Postal address: Department of Statistics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong.
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Abstract

In this paper, an optimal maintenance model for standby systems is studied. An inspection–repair–replacement policy is employed. Assume that the state of the system can only be determined through an inspection which may incorrectly identify the system state. After each inspection, if the system is identified as in the down state, a repair action will be taken. It will be replaced some time later by a new and identical one. The problem is to determine an optimal policy so that the availability of the system is high enough at any time and the long-run expected cost per unit time is minimized. An explicit expression for the long-run expected cost per unit time is derived. For a geometric model, a simple algorithm for the determination of an optimal solution is suggested.

Keywords

AVAILABILITYRENEWAL PROCESSEXPONENTIAL DISTRIBUTIONNON-LINEAR PROGRAMMING

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 1 , March 1995 , pp. 212 - 223
Copyright
Copyright © Applied Probability Trust 1995 

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