1. What contributions have the authors mentioned in the paper "A parametric predictive maintenance decision-making framework considering improved system health prognosis precision" ?
Faced with this situation, the authors propose a parametric predictive maintenance decision framework that can take into account properly the system remnant life in maintenance decisions.
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2. What are the future works mentioned in the paper "A parametric predictive maintenance decision-making framework considering improved system health prognosis precision" ?
The work presented in this paper is mainly theoretical, and even if the theoretical results are encouraging, the next step to study the applicability of the proposed approach is of course to gather further evidences of their practical interests from field experiments.. Consequently, one of their perspectives is to validate the proposed maintenance framework with real data, which requires the identification of a suitable system, the implementation of condition monitoring systems able to deliver the required data and further data analysis for deterioration modeling.. For example, a phase of parameters estimation for the deterioration-based failure model should be implemented before going further with the maintenance decision-making approach.. Other perspectives will be devoted to the proposition, characterization and evaluation of predictive maintenance decision rules for multi-unit systems ( e. g., k-out-of-n deteriorating systems ).
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3. What are the two maintenance actions that are possible on the system?
Two maintenance actions are possible on the system : preventive replacement (PR) and corrective replacement (CR) which respectively incur a cost Cp > Ci and Cc.
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4. what is the expected downtime of the maintained system with respect to the stationary law?
When the semi-renewal cycle is [ τ−i−1, τ − i ] , where τi = τi−1 + δ, the expected downtime with respect to the stationary law π isEπ [ˆ τi τi−1 1{ X τ − i−1 <ξ<L≤Xt,Xτ− i−1 =y }dt ] = ˆ ξ 0 (ˆ δ 0 F̄αu,β (L− y) du ) π (y) dy.15When the semi-renewal cycle is [ τ−i−1, τ − i ] ≡ [ τ−i−1, τ − r ] ∪ [ τ+r , τ − i ] , where τr = τi−1 + ψ (y) and τi = τi−1 + ψ (y) + δ, the expected downtime with respect to the stationary law π becomesEπ [ˆ τr τi−1 1{ ξ≤Xτ − i−1 <L≤Xt,Xτ− i−1 =y}dt ]+ E0 [ˆ τi τr 1{ ξ≤Xτ − i−1 <L,X τ + r <L≤Xt,Xτ+r =0,X τ − i−1 =y}dt ]= ˆ L ξ (ˆ ψ(y) 0 F̄αu,β (L− y) du ) π (y) dy + ˆ L ξ π (y) dy · ˆ δ 0 F̄αu,β (L) du.
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![Figure 13: E [ψ] under various configurations of deterioration variances](/figures/figure-13-e-ps-under-various-configurations-of-deterioration-2eeoe9cf.png)


