reliability analysis of weighted-(r,s)-out-of-n system having two dependent subcomponents each with its own positive integer-valued weight

In this paper‎, ‎a general form of weighted-(r,s)-out-of-n system having two dependent subcomponents with different weights is introduced‎. ‎this system consists of n independent components‎, ‎each having two dependent subcomponents‎, ‎each with its own positive integer-valued weight‎. ‎if the total weights of the working subcomponents exceed a pre-specified threshold (r,s)‎, ‎the system is assumed to function‎. ‎the reliability and component importance of this system are studied‎. ‎the survival function and mean time to failure are presented‎.