Periodic and Sequential Inspection Policies with Mission Failure Probabilities

When a unit should provide reliability at mission time, the mission success probability or failure probability becomes an important constraint of planing inspection policies. From this viewpoint, this paper considers the optimization problems of periodic and sequential inspection policies with mission failure probabilities. In this paper, the mission time is also considered as a renewal point for inspection polices, but the failure cost occurred at mission time is higher than the total cost of inspection and failure detection. We give an upper limit of the failure probability at mission time, i.e., mission failure probability, to minimize the total expected cost of inspection policies. In addition, the extended models of inspection policies for an mission interval, a constant renewal time and the random mission times are given directly.