Predictive inference for system reliability after common-cause component failures

Coolen, F.P.A.; Coolen-Maturi, T.

doi:10.1016/j.ress.2014.11.005

Predictive inference for system reliability after common-cause component failures

Coolen, F.P.A.; Coolen-Maturi, T.

Authors

Professor Frank Coolen frank.coolen@durham.ac.uk
Professor

Dr Tahani Coolen-Maturi tahani.maturi@durham.ac.uk
Associate Professor

Abstract

This paper presents nonparametric predictive inference for system reliability following common-cause failures of components. It is assumed that a single failure event may lead to simultaneous failure of multiple components. Data consist of frequencies of such events involving particular numbers of components. These data are used to predict the number of components that will fail at the next failure event. The effect of failure of one or more components on the system reliability is taken into account through the system׳s survival signature. The predictive performance of the approach, in which uncertainty is quantified using lower and upper probabilities, is analysed with the use of ROC curves. While this approach is presented for a basic scenario of a system consisting of only a single type of components and without consideration of failure behaviour over time, it provides many opportunities for more general modelling and inference, these are briefly discussed together with the related research challenges.

Citation

Coolen, F., & Coolen-Maturi, T. (2015). Predictive inference for system reliability after common-cause component failures. Reliability Engineering & System Safety, 135, 27-33. https://doi.org/10.1016/j.ress.2014.11.005

Journal Article Type	Article
Acceptance Date	Nov 8, 2014
Online Publication Date	Nov 15, 2014
Publication Date	Mar 1, 2015
Deposit Date	Nov 26, 2014
Publicly Available Date	Nov 28, 2014
Journal	Reliability Engineering and System Safety
Print ISSN	0951-8320
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	135
Pages	27-33
DOI	https://doi.org/10.1016/j.ress.2014.11.005
Keywords	Common-cause failures, Lower and upper probabilities, Nonparametric predictive inference, ROC curves, Survival signature, System reliability.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Reliability Engineering & System Safety. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Reliability Engineering & System Safety, 135, March 2015, 10.1016/j.ress.2014.11.005.