Approximations for the system hazard function.
approximationsfo00hayn.pdf (2.195Mb)Abstract
Methods for approximating the system hazard function are
developed for systems which have constant component failure
rates. The approximations are applicable to systems which
are "highly reliable," e.g., all component reliabilities
greater than 0.9 and system reliability greater than 0.95.
Three approximations are developed. The first-order approximation
is based on the system cuts of least size
(smallest cuts). The fix-up approximation is based on the
minimal cuts of the system and is an extension of the methods
used in NAVWEPS OD 29304. The second-order approximation is
a more accurate extension of the first-order approximation.
The advantages peculiar to each of these approximations
are:
(1) first-order: easy to calculate,
(2) fix-up: never leads to an overestimate of system
reliability,
(3) second-order: relatively more accurate.
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