Importance analysis in two kinds of redundant systems: k-out-of-n and consecutive k-out-of-n: F systems

The voting system is a kind of redundant system, and the k-out-of-n system and consecutive k-out-of-n system have been widely used in engineering practice. In this article, the marginal reliability importance and joint reliability importance in kout-of-n: F systems and consecutive k-out-of-n: F systems are studied for some situations. Then, some properties and relevant remarks of the marginal reliability importance and joint reliability importance in two kinds of system models are analyzed for parameters p, k, and n. Finally, an oil pump transportation system is used to demonstrate the proposed method and illustrate the feasibility and practicality of the model.