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Consecutive k-out-of-n:W system signature reliability appraisal via structure–function approach and u-function approach

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Life Cycle Reliability and Safety Engineering 2024年第3期13卷 231-242页

作者： Sadiya Kumar, Akshay Ram, Mangey Department of Mathematics Graphic Era Deemed to be University Depratment of Mathematics Graphic Era Hill University Department of Mathematics Computer Science and Engineering Graphic Era Deemed to be University

The signature reliability of the consecutive k-out-of-n:W system is studied using two different approaches: the structure–function approach and the u-function approach. The connection is supposed to comprise n total components, where only k components are in a functioning or working state. Firstly, a consecutive 3-out-of-5:W system is modelled to estimate the reliability function of the system via polynomial function. Secondly, the tail-signature of the consecutive 3-out-of-5 system has been evaluated, which would allow the signature reliability evaluation. Thirdly, the determination of the degree of reliability, by using Barlow-Proschan index of the system is evaluated. Lastly, the minimal signature, predicted lifespan, and actual cost rate are derived for the proposed system. The purpose of this work is to evaluate all these outcomes and then compare their values, which are yielded by both applied approaches, i.e., the universal generating function approach and the structure–function approach. © The Author(s), under exclusive licence to Society for Reliability and Safety (SRESA) 2024.

关键词： Consecutive k-out-of-n:W system Cumulative signature Predicted lifespan Signature reliability structure–function approach u-function approach

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