A maintenance optimization model for mission‐oriented systems based on Wiener degradation

Over the past few decades, condition‐based maintenance (CBM) has attracted many researchers because of its effectiveness and practical significance. This paper deals with mission‐oriented systems subject to gradual degradation modeled by a Wiener stochastic process within the context of CBM. For a mission‐oriented system, the mission usually has constraints on availability/reliability, the opportunity for maintenance actions, and the monitoring type (continuous or discrete). Furthermore, in practice, a mission‐oriented system may undertake some preventive maintenance (PM) and after such PM, the system may return to an intermediate state between an as‐good‐as new state and an as‐bad‐as old state, i.e., the PM is not perfect and only partially restores the system. However, very few CBM models integrated these mission constraints together with an imperfect nature of the PM into the course of optimizing the PM policy. This paper develops a model to optimize the PM policy in terms of the maintenance related cost jointly considering the mission constraints and the imperfect PM nature. A numerical example is presented to demonstrate the proposed model. The comparison with the simulated results and the sensitivity analysis show the usefulness of the optimization model for mission‐oriented system maintenance presented in this paper.