Dynamic reliability models for multiple dependent competing degradation processes

In this work, we extend the existing modeling approaches to a more general setting, whereby the components degradations are modeled by physics-based models or multi-state models and dependencies exist among the components and the degradation processes within one component. To treat various dependencies, we employ the Piecewise-Deterministic Markov Process (PDMP) (Davis 1984, Cocozza-Thivent 2011) for components and system modeling.