Bayes geometric scaling model for common cause failure rates

Athena Zitrou, Tim Bedford, Lesley Walls

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper proposes a mathematical model to associate key operational, managerial and design characteristics of a system with the system's susceptibility towards common cause failure (CCF) events. The model, referred to as the geometric scaling (GS) model, is a mathematical form that allows us to investigate the effect of possible system modifications on risk. As such, the presented methodology results in a CCF model with a strong decision-making character. Based on a Bayesian framework, the GS model allows for the representation of epistemic uncertainty, the update of prior uncertainty in the light of operational data and the coherent use of observations coming from different systems. From a CCF perspective these are particularly useful model features, because CCF events are rare; hence, the operational data available is sparse and is characterised by considerable uncertainty, with databases typically containing events from nominally identical systems from different plants. The GS model also possesses an attractive modelling feature because it significantly decreases the amount of information elicited from experts required for quantification.
LanguageEnglish
Pages70-76
Number of pages7
JournalReliability Engineering and System Safety
Volume95
Issue number2
DOIs
Publication statusPublished - Feb 2010

Fingerprint

Common Cause Failure
Failure Rate
Bayes
Scaling
Epistemic Uncertainty
Feature Modeling
Uncertainty
Model
Feature Model
Susceptibility
Quantification
Update
Decision Making
Mathematical Model
Decision making
Decrease
Methodology
Mathematical models

Keywords

  • common cause failures
  • failure rate
  • epistemic uncertainty
  • system defences
  • Bayesian update
  • expert judgment

Cite this

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Bayes geometric scaling model for common cause failure rates. / Zitrou, Athena; Bedford, Tim; Walls, Lesley.

In: Reliability Engineering and System Safety, Vol. 95, No. 2, 02.2010, p. 70-76.

Research output: Contribution to journalArticle

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