ABSTRACT
This chapter provides the model assumption and illustrates a numerical case is given to the theoretic analysis. It proposes a more reasonable replacement model and derive the explicit expression of average cost rate function under the policy. In maintenance policy, geometric process (GP) repairable models for single-component systems and multi-component repairable systems have drawn a great deal of attention since they were proposed by Y. Lam. A GP repairable model seems more reasonable for a deteriorating repairable system. Most of the studies mentioned seem to be insufficient for some practical applications. However, little research has been done on replacement policies for a single-component repairable system by considering the new assumption as follows. The time interval of finishing the different work stochastically decreases with an increase in the working project number.
