Preventive maintenance for inspected systems with additive subexponential shock magnitudes |
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Authors: | Esther Frostig Moshe Kenzin |
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Affiliation: | Department of Statistics, University of Haifa, Mount Carmel, Haifa 31905, Israel |
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Abstract: | We examine the long-run average availability and cost rate of a maintained system which deteriorates according to a random-shock process. Shocks arrive according to a Poisson process. The system fails whenever the cumulative damage exceeds a given threshold. The system's failures are not self-announcing, hence, failures must be detected via inspections. The system is inspected at periodic or exponentially distributed intervals. Systems are replaced by preventive maintenance or after failure (corrective maintenance), whichever occurs first. When the distribution function of the shock magnitudes belongs to the class of subexponential distributions, we obtain simple approximations for the availability and the cost rate. Copyright © 2007 John Wiley & Sons, Ltd. |
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Keywords: | availability up-time Poisson's process random shocks subexponential distribution |
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