Maintenance optimization for systems with dependent competing risks using a copula function

This paper develops a joint copula reliability model for systems subjected to dependent competing risks caused by two degradation processes and random shocks. The two degradation processes follow gamma processes and the random shocks follow a non-homogeneous Poisson process (NHPP). Their interdependence relationship is modeled by a copula function, which is determined by a two-stage method based on simulated data. It is shown that the proposed model can provide more precise results than the model without considering the dependent relationship. Through the proposed reliability model, two maintenance models are studied and compared. It is found that the inspection cost has significant effects on the choosing of maintenance policy.

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