Periodical replacement problem without assuming minimal repair (Q1108184)

A periodical replacement problem with a general repair is considered where a system is replaced at only scheduled times kT \((k=0,1,...)\) and is repaired whenever it fails. By general repair, we mean that repair brings the state of the system to a certain better state. A stochastic model to describe the operation in time of a repairable system which is maintained by a general repair is developed. The model contains the minimal repair case in which re presented. The type of this convolution is suggested for the incomplete information case. The latter one is proposed for the decision making problems with empty Pareto set.