抄録
Offer Organization: Japan Society for the Promotion of Science, System Name: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Category: Grant-in-Aid for Young Scientists (B), Fund Type: -, Overall Grant Amount: - (direct: 2700000, indirect: 540000)
This research investigated an optimal maintenance problem with incomplete observations and showed that, when the transition probability matrix (P) has the stochastic increasing (SI) property, the optimal procedure is given by a monotone procedure if and only if the conditional probability matrix (Γ) is given by an identity matrix. This research brings to a close over 50 years of research on ways to extend the optimality of monotone procedure on the basis of SI ordering of the state probability vectors.
Furthermore, this research studied the optimal structure identification problem for a monitoring system with multiple sensors and identified a necessary and sufficient condition under which a k-out-of-n structure is optimal in terms of minimizing the expected risk. This means that, fewer structures need to be considered when searching for the optimal one.