(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 (k1,k2,…,km)-out-of-n structure. The (k1,k2,…,km)-out-of-n system is a system consisting of ni components of type i, i=1,2,…,m, and functions if at least k1 components of type 1, k2 components of type 2, …, km components of type m work, n=∑i=1nni. The exact and approximate expressions are obtained for the survival function of the system under concern. The weighted-(k1,k2,…,km)-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.