Abstract:

To study a deteriorating repairable multi-state system with regular preventive repairs, a new maintenance and replacement policy is proposed. Assume that the component in the system has more than one failure states. The occurrence of a failure state of any one type is mutually exclusive and stochastic. The regular preventive repair is “as good as old” and the repair after the system failure is not “as good as new”. The system is not running during the period of the regular preventive repairs and the effective age of the system is not effected by the regular preventive repairs. The arrival of the effective age of the system is assumed to be mutually stochastic at the working state, the preventive repair state or the maintenance state. Under these assumptions, we consider a replacement policy T based on the effective age of the system. By using the generalized geometric process theory and the renewal process theory, the mathematic model is been established and the explicit expression of the longrun expected profit per unit time is derived. The optimal maintenance and replacement policy T* can be calculated by the computer. Finally, we discuss the results of the model. This model can be used as references to the failure system maintenance and replacement.