Model of condition-based maintenance with multiple imperfect inspections

Abstract

Condition-based maintenance (CBM) refers to proactive maintenance carried out based on the system's condition. In this study, we developed mathematical equations to calculate maintenance effectiveness indicators, as achieved availability, availability, mission availability, average maintenance costs per unit of time, and operational probability of failure-free operation. We considered a with a single-component structure, where the type of imperfect inspection corresponds to CBM, the perfect repair is employed, and only wear-out failures occur in the system. Mathematical models have been derived for cases involving multiple imperfect inspections and an arbitrary time-to-failure law. We determined the optimal number of inspections by the criterion of maximum achieved availability for a specific stochastic degradation process, considering both condition-based and corrective maintenance. Our research demonstrates that significantly improves achieved availability and reduces the required inspections.and Results