Abstract
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 k-out-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.
Highlights
A k-out-of-n: F system consists of an ordered sequence of n components such that the system fails only when at least k components fail.1 In redundant systems, the k-out-of-n systems have a wide range of applications in reliability engineering, such as oil pipeline, long-distance telecommunication systems, multi-engine system in an airplane, relay stations, and the multi-pump system in a hydraulic control system.1,2 Importance measures can be used to identify the key components and improve the system reliability
The marginal reliability importance measures the change in reliability of the system with respect to the change in the reliability of a certain component in the system
The joint reliability importance (JRI) analyzes how much effect the interaction among components have on the reliability of the voting system
Summary
A (consecutive) k-out-of-n: F system consists of an ordered sequence of n components such that the system fails only when at least k (consecutive) components fail. In redundant systems, the (consecutive) k-out-of-n systems have a wide range of applications in reliability engineering, such as oil pipeline, long-distance telecommunication systems, multi-engine system in an airplane, relay stations, and the multi-pump system in a hydraulic control system. Importance measures can be used to identify the key components and improve the system reliability. We will analyze the relevant remarks of the marginal reliability importance in linear consecutive k-out-of-n: F systems. The value of C-MRIL(i) in linear consecutive k-out-of-n: F systems first decreases slowly and increases rapidly with the increase in the value of p. After that, it decreases quickly and approaches 0 infinitely. The value of C-MRIL(i) in linear consecutive k-out-of-n: F system first increases rapidly and decreases rapidly with the increase in the value of k After that, it decreases slowly and approaches 0 infinitely. The value of C-MRIc(i) in circular consecutive k-out-of-n: F system first increases rapidly and decreases rapidly with the increase in the value of k
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