A predictive maintenance model for k-out-of-n:F continuously deteriorating systems subject to stochastic and economic dependencies

• Published in: Reliability engineering & system safety Vol. 226; p. 108671
• Main Authors: Huynh, K.T., Vu, H.C., Nguyen, T.D., Ho, A.C.
• Format: Journal Article
• Language: English
• Published: Barking Elsevier Ltd 01.10.2022; Elsevier BV; Elsevier
• Subjects: Benchmarks; Comparative studies; Computer Science; Cost analysis; Cost model; Decision analysis; Decision making; Deterioration; Economic analysis; Economic and stochastic dependencies; Economic models; Economics; Impact analysis; Maintenance costs; Modelling; Multivariate Gamma subordinator; Predictive maintenance; Predictive maintenance model; Reliability engineering; Remaining useful life; Semi-regenerative process; Working conditions; Multivariate Gamma subordinator; Cost model; Semi-regenerative process; Remaining useful life; Economic and stochastic dependencies; Predictive maintenance model
• ISSN: 0951-8320; 1879-0836
• DOI: 10.1016/j.ress.2022.108671

New concepts of Industry 4.0 make industrial systems more and more complex due to the strong dependencies among a large number of stochastically deteriorating units. Ignoring such dependencies in maintenance modeling usually leads to high maintenance costs. With this spirit, we develop in the present paper an innovative predictive maintenance model for k-out-of-n:F continuously deteriorating systems considering both the stochastic dependency due to the common impact of working environment and the economic dependency issued by the set-up cost sharing. Compared with related works, the originality of our model is fourfold. Firstly, we adopt a multivariate Gamma subordinator to describe the dependent degradation behavior among units in the context of maintenance modeling. Secondly, we use probabilistic measures of the remaining useful life at unit and system levels as maintenance decision indices. Thirdly, we elaborate a proactive maintenance policy allowing the consideration of both the stochastic and economic dependencies in maintenance decision-making. Finally, we evaluate analytically the long-run cost rate of the maintenance policy thanks to the semi-regenerative theory. Various comparative studies with benchmarks under different configurations of system characteristics and maintenance costs confirm the high performances of the developed maintenance model, and emphasize the value of introducing multiple kinds of dependencies in maintenance modeling. •Predictive maintenance model for k-out-of-n:F continuously deteriorating systems.•Dependent degradation model based on multivariate Gamma subordinator.•Remaining useful life-based maintenance decision indices.•Proactive maintenance policy considering both stochastic and economic dependencies.•Closed-form maintenance cost model using semi-regenerative theory.