Optimal Control Of The Repairable System With The Parallel Repairable Standby System

Repairable Standby system is one of the most important systems discussed inthe reliability theory,and also the primary subject studied in reliability mathemat-ics. This paper we research the result of existence and uniquence of nonnegativesolution of The Repairable System with The Parallel Repairable Standby Systemand the optimal control problems of this repairable complex system. Reliabilityof the transient is about time t tends to in?nity, the limit (if the limit exists) iscalled the steady-state reliability of the system , literature[2] the authors studiedthe steady-state solution of the optimal control problem, the paper prove existenceand uniqueness of solutions, the direct study of the optimal control problem at atime, still norm index as a measure of functional controllability of the standardsystem, minimizing sequence used to obtain the optimal system control element.