New algorithm for computing exact reliability formula of weighted– –out–of– system using SDP method

A weighted version of the –out–of– system is considered. In the disjoint products version of reliability analysis of weighted– –out–of– systems, it is necessary to determine the order in which the weight of components is to be considered. The –out–of– :G(F) system consists of components; each component has its own probability and positive integer weight such that the system is operational (failed) if and only if the total weight of some operational (failure) components is at least . This paper designs a new method to compute the reliability formulas using SDP method. The proposed method expresses the system reliability in fewer reliability formulas than those already published. k n