Calculation of the System Unavailability Measures of Component Importance Using the D2T2 Methodology of Fault Tree Analysis

A recent development in Fault Tree Analysis (FTA), known as Dynamic and Dependent Tree Theory (D2T2), accounts for dependencies between the basic events, making FTA more powerful. The method uses an integrated combination of Binary Decision Diagrams (BDDs), Stochastic Petri Nets (SPN) and Markov mod...

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Bibliographic Details
Published in:Mathematics (Basel) 2024-01, Vol.12 (2), p.292
Main Authors: Andrews, John, Lunt, Sally
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Causality
Cooling
Cooling systems
Criticality aspects
dependent failures
dynamic and dependent tree theory
Engineering
Failure
Fault tree analysis
Human error
Markov chains
Methods
Petri nets
Pressure vessels
Probability
Risk management
system failure modelling
system unavailability assessment
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Summary:A recent development in Fault Tree Analysis (FTA), known as Dynamic and Dependent Tree Theory (D2T2), accounts for dependencies between the basic events, making FTA more powerful. The method uses an integrated combination of Binary Decision Diagrams (BDDs), Stochastic Petri Nets (SPN) and Markov models. Current algorithms enable the prediction of the system failure probability and failure frequency. This paper proposes methods which extend the current capability of the D2T2 framework to calculate component importance measures. Birnbaum’s measure of importance, the Criticality measure of importance, the Risk Achievement Worth (RAW) measure of importance and the Risk Reduction Worth (RRW) measure of importance are considered. This adds a vital ability to the framework, enabling the influence that components have on system failure to be determined and the most effective means of improving system performance to be identified. The algorithms for calculating each measure of importance are described and demonstrated using a pressure vessel cooling system.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12020292