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Degradation model for system incorporating heterogeneities

Bautista Lucía, Castro Inmaculada Torres, Landesa Porras Luis

Safety and Reliability of Systems and Processes

2022

Summer Safety and Reliability Seminar 2022

7--16

A system subject to several deteriorationprocesses is studiem. These processes arrive to the system following a Cox process and they grow according to a homogeneous gamma process. The system is failed when a degradation process exceeds a certain failure threshold. The maintenance strategy implemented on the system is condition-based maintenance, the deterioration state of the system is checked, and replacements are performer if necessary. A random effects model is considered to dealwith the heterogeneities between processes, in particular, a uniform distribution is used to model the inverse of the scale parameter of the gamma process. Finally, the analytic cost model is obtained and analysed through some numerical examples.