基于结构的随机加权相干系统性能评价

IF 4.5 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Tanmay Sahoo, Nil Kamal Hazra, Narayanaswamy Balakrishnan
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引用次数: 0

摘要

随机加权r-out- n系统的性能水平由其总容量来衡量。然而,这种度量对于任意的相干结构是没有意义的,因为它不涉及系统的结构。为了克服这一缺陷,本文引入了性能度量的新概念(即结构能力),然后定义了三种不同的随机加权相干系统概念,即i型、ii型和iii型系统。然后推导出计算这些系统可靠性的显式公式。我们进一步给出了基于签名的可靠性表示。此外,我们推导了这些系统组件的Birnbaum边际和联合可靠性重要性度量,并随后提供了计算它们的算法。然后,我们研究了基于这些重要度量的排序结果。针对iii型随机加权相干系统,提出了一种新的基于结构的加权重要度度量方法,并给出了其评价算法。通过几个数值算例对所得到的结果进行了说明。最后,我们利用两个不同的模拟数据集对随机加权相干系统进行了可靠性估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On random weighted coherent systems based on a new structure-based performance measure

On random weighted coherent systems based on a new structure-based performance measure

The performance level of a random weighted r-out-of-n system is measured by its total capacity. However, this measure is not meaningful for an arbitrary coherent structure as it does not involve the structure of the system. To overcome this drawback, we introduce here a new notion of performance measure (namely, the structural capacity) and then define three different notions of random weighted coherent systems, namely, Type-I, Type-II and Type-III systems. We then derive explicit formulas for computing the reliabilities of these systems. We further give a signature-based reliability representation for these systems. Further, we derive the Birnbaum marginal and joint reliability importance measures for the components of these systems and subsequently provide an algorithm for computing the same. Then, we study several ordering results based on these importance measures. For the Type-III random weighted coherent system, we introduce a new structure-based weighted importance measure and provide an algorithm for its evaluation. The developed results are illustrated through several numerical examples. Finally, we carry out the reliability estimation for a random weighted coherent system using two different simulated data sets.

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来源期刊
Annals of Operations Research
Annals of Operations Research 管理科学-运筹学与管理科学
CiteScore
7.90
自引率
16.70%
发文量
596
审稿时长
8.4 months
期刊介绍: The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications. In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.
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