An exposition of system reliability analysis with an ecological perspective
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Additional excerpts
... The map offers a convenient pictorial mechanism for decomposing its output function into various sub-functions, thereby constructing a multi-valued expansion tree or decision diagram for this function [1-4, 19-23, 41, 65-71]....
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Cites background or methods from "An exposition of system reliability..."
...With this interpretation, an application of the IE principle results in the following expression of reliability [32-36]....
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...If neither of the two terms and in the sum (A ∨ B) subsumes the other ( A ∨ B ≠ A and A ∨ B ≠ B ) and the two terms are not already disjoint (A ∧ B ≠ 0 ), then can be disjointed with by using the formula [24,36,43,48-57]...
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...For this case, the disjointing formula (8) simplifies to the Reflection law [36]....
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...Moreover, it involves so many subtractions that make it highly sensitive to round-off errors in the ultra-reliable regime [36,40-42]....
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References
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