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Optimal replacement under a general failure model

Published online by Cambridge University Press:  01 July 2016

Bo Bergman
Bo Bergman*
Affiliation:
Saab-Scania AB, Linkoping and University of Lund
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Abstract

Replacement policies based on measurements of some increasing state variable, e.g. wear, accumulated damage or accumulated stress, are studied in this paper. It is assumed that the state measurements may be regarded as realizations of some stochastic process and that the proneness to failure of an active unit may be described by an increasing state-dependent failure rate function. Average long-run cost per unit time is considered. The optimal replacement rule is shown to be a control limit rule, i.e. it is optimal to replace either at failure or when the state variable has reached some threshold value, whichever occurs first. The optimal rule is determined. Some generalizations and special cases are given.

Keywords

REPLACEMENTMAINTENANCE ON CONDITIONFAILURE RATESTATE MEASUREMENTSSTOCHASTIC WEARSTOCHASTIC PROCESSESOPTIMIZATION
Type
Research Article
Information
Advances in Applied Probability , Volume 10 , Issue 2 , June 1978 , pp. 431 - 451
Copyright
Copyright © Applied Probability Trust 1978 

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