Competing Failure Risk Analysis Using Evidence Theory

J.C. Helton · William L. Oberkampf · Jay D. Johnson

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Risk and Safety Analysis Reliability and Maintenance Optimization Probabilistic and Robust Engineering Design

Abstract

Safety systems are important components of high-consequence systems that are intended to prevent the unintended operation of the system and thus the potentially significant negative consequences that could result from such an operation. This presentation investigates and illustrates formal procedures for assessing the uncertainty in the probability that a safety system will fail to operate as intended in an accident environment. Probability theory and evidence theory are introduced as possible mathematical structures for the representation of the epistemic uncertainty associated with the performance of safety systems, and a representation of this type is illustrated with a hypothetical safety system involving one weak link and one strong link that is exposed to a high temperature fire environment. Topics considered include (1) the nature of diffuse uncertainty information involving a system and its environment, (2) the conversion of diffuse uncertainty information into the mathematical structures associated with probability theory and evidence theory, and (3) the propagation of these uncertainty structures through a model for a safety system to obtain representations in the context of probability theory and evidence theory of the uncertainty in the probability that the safety system will fail to operate as intended. The results suggest that evidence theory provides a potentially valuable representational tool for the display of the implications of significant epistemic uncertainty in inputs to complex analyses.

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2011Probabilistic bounding analysis in the Quantification of Margins and Uncertainties 2007The impact of reliability data on probabilistic safety calculations 2012Quantification of model-form and parametric uncertainty using evidence theory 2005Probability of loss of assured safety in temperature dependent systems with multiple weak and strong links 2004Probability of loss of assured safety in temperature dependent systems with multiple weak and strong links.

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