Periodic Inspection Optimization Models for a Repairable System Subject to Hidden Failures

This paper proposes a model to find an optimal periodic inspection interval over finite and infinite time horizons for a multi-component repairable system subject to hidden failures. The components' failures can only be rectified at periodic inspections, when a failed component is either minima...

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Bibliographic Details
Published inIEEE transactions on reliability Vol. 60; no. 1; pp. 275 - 285
Main Authors Taghipour, S, Banjevic, D
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2011
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptation model
Equations
Failure
Hidden failures
Horizon
Inspection
Intervals
Maintenance engineering
Mathematical analysis
Mathematical model
Mathematical models
minimal repair
Numerical models
Optimization
periodic inspection
Repair
repairable systems
replacement
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Summary:This paper proposes a model to find an optimal periodic inspection interval over finite and infinite time horizons for a multi-component repairable system subject to hidden failures. The components' failures can only be rectified at periodic inspections, when a failed component is either minimally repaired, or replaced with some age dependent probabilities. We calculate the excepted cost with delayed replacement or minimal repair of a component. Recursive procedures are developed to calculate probabilities of failures in every interval, expected number of minimal repairs, and expected downtimes for optimization over finite and infinite time horizons. Numerical examples of the calculation of the optimal inspection frequencies are given. The data used in the examples is adapted from a hospital's maintenance data for a general infusion pump.
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ISSN:0018-9529
1558-1721
DOI:10.1109/TR.2010.2103596