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Reference: Sloan, J.C., T.M. Khoshgoftaar, and H. Hanson, 2010: Formalizing fault trees for remote ocean systems. Proceedings, 16th International ISSAT on Reliability and Quality in Design, 5-7 August, 2010, International Society of Science and Applied Technologies, 324-328. ISBN: 978-0-9763486-6-5.
Abstract: Real time condition-based evaluation of system health must not only be efficient, but also produce usable and expressive results. To this end, this paper presents a settheoretic formulation of fault trees. Such a formulation provides a usable scaffolding on which ensembles of machine health measurement techniques may eventually operate. Initially, we present a negation-free formulation of a forest of fault trees as aset of 2-level sum-of-products expressions. Given this formulation, we express measures for certainty and specificity, both of which further qualify the various well-studied measures for severity. This formulation is subsequently refined to represent multistatesystems, non-coherent valuations, and node sharing – all necessary for practical monitoring solutions. Finally, we present an evaluation rule embodying these refinements and analyze its complexity. Examples pertaining to unattended ocean systems illustrate these concepts.