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Preventive maintenance for inspected systems with additive subexponential shock magnitudes
Author(s) -
Frostig Esther,
Kenzin Moshe
Publication year - 2007
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.676
Subject(s) - poisson process , shock (circulatory) , poisson distribution , preventive maintenance , renewal theory , failure rate , process (computing) , function (biology) , exponential distribution , class (philosophy) , mathematics , computer science , cumulative distribution function , reliability engineering , statistics , probability density function , engineering , artificial intelligence , medicine , biology , operating system , evolutionary biology
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.