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Optimal condition‐based maintenance policy for systems with mutually dependent competing failure

Faqun Qi, Meiqi Huang

2023Quality and Reliability Engineering International21 citationsDOI

Abstract

Abstract In this paper, a novel condition‐based maintenance (CBM) policy for systems with mutually dependent competing failure processes (DCFPs) is studied. The cumulative random shocks contribute to the increased rate of degradation, meanwhile, the hard failure threshold is reduced when the amount of degradation reaches a threshold. The degradation process is simulated by a non‐stationary Gamma process and random shocks are modeled as a homogeneous Poisson process. Preventive replacement (PR) and corrective replacement (CR) are accounted for in the developed maintenance strategy. The optimal periodic inspection interval, PR threshold, and the number of cumulative random shocks can be derived by minimizing the average long‐term maintenance cost rate. In the end, a numerical case is applied to demonstrate the availability of the developed models.

Topics & Concepts

Gamma processDegradation (telecommunications)Poisson processInterval (graph theory)Failure rateProcess (computing)Reliability engineeringPreventive maintenanceOptimal maintenancePoisson distributionHomogeneousTerm (time)Stochastic processComputer scienceMathematical optimizationMathematicsStatisticsEngineeringPhysicsOperating systemTelecommunicationsCombinatoricsQuantum mechanicsReliability and Maintenance OptimizationSoftware Reliability and Analysis ResearchStatistical Distribution Estimation and Applications
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