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A cumulative damage shock model with imperfect preventive maintenance
Author(s) -
Kijima Masaaki,
Nakagawa Toshio
Publication year - 1991
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199104)38:2<145::aid-nav3220380203>3.0.co;2-d
Subject(s) - imperfect , shock (circulatory) , preventive maintenance , cumulative distribution function , mathematics , computer science , econometrics , statistics , reliability engineering , probability density function , engineering , medicine , philosophy , linguistics
In this article we consider a cumulative damage shock model under a periodic preventive maintenance (PM) policy. The PM is imperfect in the sense that each PM reduces the damage level by 100(1 – b )%, 0 < b < 1. A system suffers damage due to shocks and fails when the damage level exceeds some threshold. We derive a sufficient condition for the time to failure to have an IFR distribution. We also discuss the associated problem of finding the number of PM's that minimizes the expected cost rate.