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A reduction approach to improve the quantification of linked fault trees through binary decision diagrams

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  • Ibáñez-Llano, Cristina
  • Rauzy, Antoine
  • Meléndez, Enrique
  • Nieto, Francisco

Abstract

Over the last two decades binary decision diagrams have been applied successfully to improve Boolean reliability models. Conversely to the classical approach based on the computation of the MCS, the BDD approach involves no approximation in the quantification of the model and is able to handle correctly negative logic. However, when models are sufficiently large and complex, as for example the ones coming from the PSA studies of the nuclear industry, it begins to be unfeasible to compute the BDD within a reasonable amount of time and computer memory. Therefore, simplification or reduction of the full model has to be considered in some way to adapt the application of the BDD technology to the assessment of such models in practice. This paper proposes a reduction process based on using information provided by the set of the most relevant minimal cutsets of the model in order to perform the reduction directly on it. This allows controlling the degree of reduction and therefore the impact of such simplification on the final quantification results. This reduction is integrated in an incremental procedure that is compatible with the dynamic generation of the event trees and therefore adaptable to the recent dynamic developments and extensions of the PSA studies. The proposed method has been applied to a real case study, and the results obtained confirm that the reduction enables the BDD computation while maintaining accuracy.

Suggested Citation

  • Ibáñez-Llano, Cristina & Rauzy, Antoine & Meléndez, Enrique & Nieto, Francisco, 2010. "A reduction approach to improve the quantification of linked fault trees through binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1314-1323.
  • Handle: RePEc:eee:reensy:v:95:y:2010:i:12:p:1314-1323
    DOI: 10.1016/j.ress.2010.06.008
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    References listed on IDEAS

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    1. Jung, Woo Sik & Yang, Joon-Eon & Ha, Jaejoo, 2005. "Development of measures to estimate truncation error in fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 30-36.
    2. C Ibáñez-Llano & A Rauzy & E Meléndez & F Nieto, 2009. "Minimal cutsets-based reduction approach for the use of binary decision diagrams on probabilistic safety assessment fault tree models," Journal of Risk and Reliability, , vol. 223(4), pages 301-311, December.
    3. Contini, S. & Cojazzi, G.G.M. & Renda, G., 2008. "On the use of non-coherent fault trees in safety and security studies," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1886-1895.
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    Cited by:

    1. Santosh B. Rane & Yahya A. M. Narvel, 2016. "Reliability assessment and improvement of air circuit breaker (ACB) mechanism by identifying and eliminating the root causes," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(1), pages 305-321, December.
    2. Li, Shumin & Si, Shubin & Dui, Hongyan & Cai, Zhiqiang & Sun, Shudong, 2014. "A novel decision diagrams extension method," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 107-115.

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