线性 m-Consecutive-k-out-of-n 的精确可靠性和签名公式：F 系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-09 DOI:10.3390/axioms13080541

Gökhan Gökdere, Ayse Bugatekin

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引用次数: 0

摘要

一个 m-consecutive-k-out-of-n：F（m/C/k/n：F）系统由 n 个线性有序组件组成，当且仅当至少有 m 个非重叠运行的 k 个连续失效组件时，系统才会失效。我们这项工作的动机是获得 m/C/k/n: F 系统签名和可靠性的有效公式：F 系统的签名和可靠性的有效公式，这些公式具有独立且相同（i.i.d）的组件，易于实现且计算时间较短。我们证明，为该系统推导的可靠性公式所需的计算时间少于目前使用的 m/C/k/n：F 系统公式：F 系统公式所需的计算时间更少。对于 m/C/k/n：F 系统的最小和最大签名，我们提供了精确的公式。此外，m/C/k/n: F 系统故障发生时的故障部件平均数量和平均故障时间也可以用公式计算：F 系统故障时的平均故障部件数量以及 m/C/k/n: F 系统的平均故障时间（MTTF）：F 系统的平均故障时间（MTTF）。

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Exact Reliability and Signature Formulas for Linear m-Consecutive-k-out-of-n: F Systems

An m-consecutive-k-out-of-n: F (m/C/k/n: F) system consists of n linearly ordered components such that the system fails if and only if there are at least m nonoverlapping runs of k consecutive failed components. Our motivation in this work is to obtain efficient formulas for the signature and reliability of the m/C/k/n: F system with independent and identical (i.i.d) components that are easy to implement and have a low computational time. We demonstrate that the reliability formula derived for this system requires less computational time than the m/C/k/n: F system formula currently in use. For the minimal and maximal signatures of the m/C/k/n: F system, we provide precise equations. In addition, the average number of faulty components at the time of an m/C/k/n: F system failure and mean time to failure (MTTF) of an m/C/k/n: F system are analyzed through the system signature.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.