| Summary: | Approved for public release; distribution unlimired === In this paper one method for analytically describing the
life distribution of a system is investigated. This is
done by using the inherent properties of convolutions and
mixtures of life distributions to create an algebraic structure.
Once the algebraic structure is constructed it can be
used to develop algorithms to go from the schematic of a
system to its survival function. It is noted along the way
that many combinations of constant failure rate components,
e.g., redundant, series, or parallel systems can be described
by a mixture of convolutions and that often these expressions
can be greatly simplified.
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