The Well-Posedness of a Two Unit Repairable Parallel Redundant System with Common-Failures and Arbitrarily Distributed Down Time

摘要

This paper presents the models with common-mode failures and arbitrarily distributed down time of a two identical unit parallel redundant system. The repaired failed unit is as good as new. With the assumption of bound to the repair function we prove that the existence and uniqueness of the solution to ACP with system operator, C_0-semigroup generator.