What question did this study set out to answer?

Analyze the reliability behavior of coherent structures composed of independent components that possess differing individual reliabilities.

May 1, 1963Technometrics

Coherent Structures of Non-Identical Components

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Authors

JEJ. D. EsaryBoeing (United States)FPFrank ProschanSmithsonian Center for Folklife and Cultural Heritage

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Implication

Theoretical analysis demonstrates reliability bounds in coherent structures with non-identical components, suggesting a simplified proof of S-shaped reliability behavior.

Key Points

Analyze the reliability behavior of coherent structures composed of independent components that possess differing individual reliabilities.
Applied a foundational theorem on the covariance of increasing functions of random variables.
Extended classical statistical properties and differential inequalities to systems with non-identical components.
Derived convenient analytical bounds on the structural reliability of systems containing non-identical components.
Generalized a differential inequality relating structural reliability to component reliabilities, yielding a direct demonstration of S-shaped reliability properties.

Cite This Study

Esary et al. (1963) studied this question.

synapsesocial.com/papers/69edfd417bbfbe071a398db6 https://doi.org/10.1080/00401706.1963.10490075

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Implication

Theoretical analysis demonstrates reliability bounds in coherent structures with non-identical components, suggesting a simplified proof of S-shaped reliability behavior.

Coherent Structures of Non-Identical Components

Discussion

Member takes

Implication

Key Points

Cite This Study

Coherent Structures of Non-Identical Components

Discussion

Member takes

Implication

Key Points

Cite This Study

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