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Preventive maintenance for inspected systems with additive subexponential shock magnitudes

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  • Esther Frostig
  • Moshe Kenzin

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.

Suggested Citation

  • Esther Frostig & Moshe Kenzin, 2007. "Preventive maintenance for inspected systems with additive subexponential shock magnitudes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 23(4), pages 359-371, July.
    • Handle: RePEc:wly:apsmbi:v:23:y:2007:i:4:p:359-371
    DOI: 10.1002/asmb.676
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    Cited by:

    1. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2012. "A shock and wear system under environmental conditions subject to internal failures, repair, and replacement," Reliability Engineering and System Safety, Elsevier, vol. 99(C), pages 55-61.
    2. Frostig, Esther & Kenzin, Moshe, 2009. "Availability of inspected systems subject to shocks - A matrix algorithmic approach," European Journal of Operational Research, Elsevier, vol. 193(1), pages 168-183, February.
    3. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2011. "Two shock and wear systems under repair standing a finite number of shocks," European Journal of Operational Research, Elsevier, vol. 214(2), pages 298-307, October.

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