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A new phased-mission analysis considers periodic systems without repair. Periodic systems arise in applications such as aviation where a sequence of operating phases is repeated during each flight. A theorem relates such systems to a traditional single-phase system. The single-phase system is useful for approximating the reliability and mean life of the periodic system and is much simpler to analyze than exact transformations to a single-phase system.
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Michael H. Veatch (1986) studied this question.
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