Preventive maintenance for inspected systems with additive subexponential shock magnitudes

Esther Frostig; Moshe Kenzin

doi:10.1002/asmb.676

Preventive maintenance for inspected systems with additive subexponential shock magnitudes

Esther Frostig, Moshe Kenzin

Department of Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	359-371
Number of pages	13
Journal	Applied Stochastic Models in Business and Industry
Volume	23
Issue number	4
DOIs	https://doi.org/10.1002/asmb.676
State	Published - Jul 2007

Keywords

Availability
Poisson's process
Random shocks
Subexponential distribution
Up-time

ASJC Scopus subject areas

Modeling and Simulation
General Business, Management and Accounting
Management Science and Operations Research

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10.1002/asmb.676

Cite this

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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.",

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AB - 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.

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KW - Subexponential distribution

KW - Up-time

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Preventive maintenance for inspected systems with additive subexponential shock magnitudes

Abstract

Keywords

ASJC Scopus subject areas

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