(k1,k2,…,km)-out-of-n system and its reliability

This paper is concerned with a system consisting of multiple types of components and having ( k 1 , k 2 , … , k m ) -out-of- n structure. The ( k 1 , k 2 , … , k m ) -out-of- n system is a system consisting of n i components of type i , i = 1 , 2 , … , m , and functions if at least k 1 components of type 1, k 2 components of type 2, …, k m components of type m work, n = ∑ i = 1 n n i . The exact and approximate expressions are obtained for the survival function of the system under concern. The weighted- ( k 1 , k 2 , … , k m ) -out-of- n system is also defined and studied. This weighted model is applied to evaluate the wind power system that consists of two wind plants.