Importance of System Components and Fault Tree Events.
Richard E. Barlow,Frank Proschan +1 more
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TLDR
The importance measure is a useful guide during the system development phase as to which components should receive more urgent attention in achieving system reliability growth.About:
This article is published in Stochastic Processes and their Applications.The article was published on 1975-04-01 and is currently open access. It has received 281 citations till now. The article focuses on the topics: Measure (mathematics) & Fault tree analysis.read more
Citations
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Coherent Systems with Multi-State Components
TL;DR: In this paper, the theory of binary coherent systems is generalized for multi-state components, where the system state is defined to be the state of the worst component in the best min path, or equivalently, the best components in the worst min cut.
Journal ArticleDOI
A two-parameter lifetime distribution with decreasing failure rate
Rasool Tahmasbi,Sadegh Rezaei +1 more
TL;DR: In this article, a new two-parameter lifetime distribution with decreasing failure rate is introduced, and the estimation of the parameters attained by the EM algorithm and their asymptotic variances and covariances are obtained.
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Resilience-Based Component Importance Measures for Critical Infrastructure Network Systems
TL;DR: A Monte Carlo-based method is proposed to generate probability distributions of the two metrics for all of the components of the network and a stochastic ranking approach based on the Copeland's pairwise aggregation is used to rank components importance.
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Some Recent Advances on Importance Measures in Reliability
Way Kuo,Xiaoyan Zhu +1 more
TL;DR: This paper studies importance measures in reliability, including their definitions, probabilistic interpretations, properties, computations, and comparability, and categorizes importance measures into the structure, reliability, and lifetime types based on the knowledge for determining them.
Journal ArticleDOI
Importance and sensitivity analysis of multi-state systems using the universal generating function method
TL;DR: In this article, a method for the evaluation of element reliability importance in a multi-state system is proposed, which is based on the universal generating function technique and provides an effective importance analysis tool for complex series-parallel multisystem systems with a different physical nature of performance and takes into account a required performance (demand).
References
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Journal ArticleDOI
Statistical Theory of Reliability and Life Testing Probability Models
Book
Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.
MonographDOI
The problem of moments
J. Shohat,J. D. Tamarkin +1 more
TL;DR: Later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed in this paper, with a chapter devoted to approximate quadrature formulas.
ReportDOI
On the importance of different components in a multicomponent system
TL;DR: A quantitative definition of this notion of importance is proposed in the present paper for systems with coherent structures, assuming that only the structure of the system is known, or that also the reliabilities of all components are known.