A Bayesian method on adaptive preventive maintenance problem

In this paper we consider a Bayesian theoretic approach to determine an optimal adaptive preventive maintenance policy with minimal repair. By incorporating minimal repair, major repair, planned replacement, unplanned replacement and periodic scheduled maintenance in the model, the mathematical formulas of the expected cost per unit time are obtained. When the failure density is Weibull with uncertain parameters, A Bayesian approach is established to formally express and update the uncertain parameters for determining an optimal adaptive preventive maintenance policy. Furthermore, various special cases of our model are discussed in detail.