This paper is intended to develop a Bayesian decision model for the optimal repair
of deteriorating system. A non-homogeneous Poisson process with a power law failure
intensity function is used to describe the occurrence of deteriorating system
failures. In order to make an optimal repair policy it is necessary to consider many
uncertainties related to the deteriorating system. For this purpose, a probability
distribution is inferred by using the Bayesian probability modeling approach.
In addition, the optimal repair decision process is proposed in case of considering
a repair cost function.