ARITHMETICO GEOMETRIC PROCESS MAINTENANCE MODEL FOR DETERIORATING SYSTEM UNDER RANDOM ENVIRONMENT

In this paper, we studied a arithmetico geometric process maintenance model for deteriorating system under random environment. Assume that the number of random shocks up to time t, produced by the random environment forms a counting process. Whenever a random shock arrives, the system operating time is reduced. The successive reductions in the system operating time are statistically independent and identically distributed random variables. Assume that the consecutive repair times of the system after failures, form an increasing arithmetico geometric process. Under the condition that the system suffers no random shock, the successive operating times of the system after repairs constitute a decreasing arithmetico- geometric process. A replacement policy N, by which the system is replaced at the time of the failure N, is adopted. An explicit expression for the average cost rate is derived. Then, an optimal replacement policy is determined empirically also.