Coherent Structures of Non-Identical Components

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Abstract
Some general aspects of the reliability of coherent systems whose components are independent, but not necessarily of the same reliability are explored. Upper and lower bounds, which can be computed directly from the minimal paths and minimal cuts of a system, are found for system reliability. The Moore-Shannon inequality is extended to the case of unequal component reliabilities, permitting a simple demonstration of the S-shapedness properties of system reliability functions.

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