A Degradation-Threshold-Shock model for a system. The case of dependent causes of failure in finite-time

This paper deals with a condition-based maintenance strategy (CBM) in finite-time horizon for a system subject to two different causes of failure, internal degradation and sudden shocks. Internal degradation is modelled under a gamma process and sudden shocks arrive at the system following a non-homogeneous Poisson process (NHPP). Both causes of failure are considered as dependent. When a sudden shock takes places, the system fails. In addition, the system is regarded to fail when the deterioration level reaches a critical threshold. Under this functioning scheme, a CBM strategy is developed for controlling the reliability of the system. Traditionally, this strategy is developed under an asymptotic approach. Hence, considering an infinite-time horizon is not always possible. In this paper, we analyse a CBM strategy under a finite-time horizon developing a recursive method which estimates the expected cost rate based on numerical integration and Monte Carlo simulation. A numerical example is provided in order to illustrate this complex maintenance model.

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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).