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From Reliability Block Diagrams to Fault Tree Circuits

Author

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  • Debarun Bhattacharjya

    (Business Analytics and Math Sciences, IBM T.J. Watson Research Center, Yorktown Heights, New York 10598)

  • Léa A. Deleris

    (Risk Collaboratory, Smarter Cities Technology Centre, IBM Dublin Research Laboratory, Dublin, Ireland)

Abstract

Reliability block diagrams (RBDs) depict the functional relationships between components comprising a system, whereas Bayesian networks (BNs) represent probabilistic relationships between uncertain variables. Previous research has described how one can transform an RBD into a BN. In parallel, developments in the artificial intelligence literature have shown how a BN can be transformed into another graphical representation, an arithmetic circuit, which can subsequently be used for efficient inference. In this paper, we introduce a new graphical representation that we call a fault tree circuit, which is a special kind of arithmetic circuit constructed specifically for an RBD. A fault tree circuit can be constructed directly from an RBD and is more efficient than an arithmetic circuit that is compiled from the BN corresponding to that RBD. We develop several methods for fault tree circuits, highlighting how they can aid the analyst in efficient diagnosis, sensitivity analysis, and decision support for many typical reliability problems. The circuit framework can complement tools that are popular in the reliability analysis community. We use a simple pump system example to illustrate the concepts.

Suggested Citation

  • Debarun Bhattacharjya & Léa A. Deleris, 2012. "From Reliability Block Diagrams to Fault Tree Circuits," Decision Analysis, INFORMS, vol. 9(2), pages 128-137, June.
    • Handle: RePEc:inm:ordeca:v:9:y:2012:i:2:p:128-137
    DOI: 10.1287/deca.1120.0231
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    References listed on IDEAS

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    1. Debarun Bhattacharjya & Ross D. Shachter, 2012. "Formulating Asymmetric Decision Problems as Decision Circuits," Decision Analysis, INFORMS, vol. 9(2), pages 138-145, June.
    2. Langseth, Helge & Portinale, Luigi, 2007. "Bayesian networks in reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 92-108.
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    Cited by:

    1. Jason R. W. Merrick & Fabrizio Ruggeri & Refik Soyer & L. Robin Keller, 2012. "From the Editors---Games and Decisions in Reliability and Risk," Decision Analysis, INFORMS, vol. 9(2), pages 81-85, June.

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