NDLI: An Efficient Method for Reliability Analysis of Systems Under Epistemic Uncertainty Using Belief Function Theory

Content Provider	IEEE Xplore Digital Library
Author	Aguirre Martinez, F. Sallak, M. Schon, W.
Copyright Year	1963
Abstract	We present an efficient method based on the inclusion-exclusion principle to compute the reliability of systems in the presence of epistemic uncertainty. A known drawback of belief functions and other imprecise probabilistic theories is that their manipulation is computationally demanding. Therefore, we investigate some conditions under which the measures of belief function theory are additive. If this property is met, the application of belief functions is more computationally efficient. It is shown that these conditions hold for minimal cuts and paths in reliability theory. A direct implication of this result is that the credal state (state of beliefs) about the failing (working) behavior of components does not affect the credal state about the working (failing) behavior of the system. This result is proven using a reliability analysis approach based on belief function theory. This result implies that the bounding interval of the system's reliability can be obtained with two simple calculations using methods similar to those of classical probabilistic approaches. A discussion about the applicability of the discussed theorems for non-coherent systems is also proposed.
Sponsorship	IEEE Reliability Society
Starting Page	893
Ending Page	909
Page Count	17
File Size	3214356
File Format	PDF
ISSN	00189529
Volume Number	64
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Reliability theory Reliability engineering Probabilistic logic Upper bound Probability distribution coherent systems Additivity inclusion-exclusion principle uncertainty propagation belief function theory epistemic uncertainty
Content Type	Text
Resource Type	Article
Subject	Safety, Risk, Reliability and Quality Electrical and Electronic Engineering

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