Reliability modeling with condition-based maintenance for binary-state deteriorating systems considering zoned shock effects

Due to the necessity of usage, industrial systems often work and deteriorate in a dynamic environment, where some deleterious factors can be regarded as external shocks. In this study, we consider a binary-state deteriorating system under zoned shock effects. System internal degradation is modeled by a two-phase Wiener process, which has a larger shift and diffusion parameter when the system transfers from the normal state to the weakened state. Shock effects are comprehensively incorporated in the deteriorating system, where the imperfect shocks are added to the zoned shock effects. Further, a new condition-based maintenance (CBM) strategy is built to improve the system performances. An optimal action (i.e., no action, imperfect repair, preventive replacement or corrective replacement) is determined based on the system state by minimizing the average long run cost rate. Finally, a numerical example is presented to illustrate the applicability of the proposed reliability model with CBM.