2003
DOI: 10.1017/s0269964803172063
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Maintenance Policy for a Continuously Monitored Deteriorating System

Abstract: We consider a continuously monitored system that gradually and stochastically deteriorates. An alarm threshold is set on the system deterioration level for triggering a delayed preventive maintenance operation. A mathematical model is developed to find the value of the alarm threshold that minimizes the asymptotic unavailability. Approximations are derived to improve the numerical optimization.

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Cited by 77 publications
(43 citation statements)
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“…Without loss of generality, the actuator wear is seen as the accumulation of positive and independent deterioration increments which are homogeneous in time Acc Θ 1 . The corresponding stochastic process is the homogeneous Gamma process [35,30]. It is characterized by its shape parameter α and by its scale parameter β.…”
Section: Wear Process Z(t)mentioning
confidence: 99%
See 1 more Smart Citation
“…Without loss of generality, the actuator wear is seen as the accumulation of positive and independent deterioration increments which are homogeneous in time Acc Θ 1 . The corresponding stochastic process is the homogeneous Gamma process [35,30]. It is characterized by its shape parameter α and by its scale parameter β.…”
Section: Wear Process Z(t)mentioning
confidence: 99%
“…E 1 , E 2 and E 3 respectively denote the events "Dðt i Þ ¼ d i rL 1 ", "L 1 o Dðt i Þ ¼ d i r L 2 " and "Dðt i Þ ¼ d i 4L 2 ". According to [35] and to derive tractable approximations of the quantities R #k i ðtÞ, the difference T 2 À T 1 between the passage times of levels L 2 and L 1 is approximated by the passage time of the level L 2 ÀL 1 . The equality stands only for the continuous trajectories of the process D(t), which is not the case here.…”
Section: Appendix Amentioning
confidence: 99%
“…While in operation, the equipment in question may take one of several states, with the two extreme states being as good as new and the faulty state. Between these two state-limits there is a set of intermediate states, which denote different degrees of deterioration (Grall et al 2002;Bérenguer et al 2003;Fouladirad and Grall 2014). The move from state to state is governed by a stochastic mechanism the behavior of which could be unknown, partially known or completely known by the DM.…”
Section: Structure Of a Decision Problem In Maintenancementioning
confidence: 99%
“…Considering now another degradation level B > A, τ B −τ A is the second type of hitting time considered here. Its exact survival function has been derived by Bérenguer et al (2003), but in a complex form. In order to simplify and reduce the numerical computation, we use the approximation proposed by Huynh et al (2011) as follows:…”
Section: Degradation Modelingmentioning
confidence: 99%