Abstract:

 Considering a shock model with inspection and preventive repair, and assuming that the repair of the system is not as good as new, the system average cost rate C(T,N) is obtained by using geometric process and renewal process, where T is the time interval of inspections and N is the number of system failure before replacement. Finally, the optimal policy is derived by using numerical method.

Key words: preventive repair; shock model; geometric process; average cost rate; replacement policy