IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v94y2009i11p1827-1837.html
   My bibliography  Save this article

A min cut-set-wise truncation procedure for importance measures computation in probabilistic safety assessment

Author

Listed:
  • Duflot, Nicolas
  • Bérenguer, Christophe
  • Dieulle, Laurence
  • Vasseur, Dominique

Abstract

A truncation process aims to determine among the set of minimal cut-sets (MCS) produced by a probabilistic safety assessment (PSA) model which of them are significant. Several truncation processes have been proposed for the evaluation of the probability of core damage ensuring a fixed accuracy level. However, the evaluation of new risk indicators as importance measures requires to re-examine the truncation process in order to ensure that the produced estimates will be accurate enough. In this paper a new truncation process is developed permitting to estimate from a single set of MCS the importance measure of any basic event with the desired accuracy level. The main contribution of this new method is to propose an MCS-wise truncation criterion involving two thresholds: an absolute threshold in addition to a new relative threshold concerning the potential probability of the MCS of interest. The method has been tested on a complete level 1 PSA model of a 900MWe NPP developed by “Electricité de France†(EDF) and the results presented in this paper indicate that to reach the same accuracy level the proposed method produces a set of MCS whose size is significantly reduced.

Suggested Citation

  • Duflot, Nicolas & Bérenguer, Christophe & Dieulle, Laurence & Vasseur, Dominique, 2009. "A min cut-set-wise truncation procedure for importance measures computation in probabilistic safety assessment," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1827-1837.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:11:p:1827-1837
    DOI: 10.1016/j.ress.2009.05.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832009001203
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2009.05.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zaitseva, Elena & Levashenko, Vitaly & Kostolny, Jozef, 2015. "Importance analysis based on logical differential calculus and Binary Decision Diagram," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 135-144.
    2. F Brissaud & A Barros & C Bérenguer, 2010. "Handling parameter and model uncertainties by continuous gates in fault tree analyses," Journal of Risk and Reliability, , vol. 224(4), pages 253-265, December.
    3. Matuzas, V. & Contini, S., 2015. "Dynamic labelling of BDD and ZBDD for efficient non-coherent fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 183-192.
    4. Vaurio, Jussi K., 2010. "Ideas and developments in importance measures and fault-tree techniques for reliability and risk analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 99-107.
    5. Di Maio, Francesco & Baronchelli, Samuele & Zio, Enrico, 2014. "Hierarchical differential evolution for minimal cut sets identification: Application to nuclear safety systems," European Journal of Operational Research, Elsevier, vol. 238(2), pages 645-652.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Matuzas, V. & Contini, S., 2015. "Dynamic labelling of BDD and ZBDD for efficient non-coherent fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 183-192.
    2. Jung, Woo Sik, 2015. "A method to improve cutset probability calculation in probabilistic safety assessment of nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 134-142.
    3. Contini, Sergio & Matuzas, Vaidas, 2011. "Analysis of large fault trees based on functional decomposition," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 383-390.
    4. Park, Jinkyun & Jung, Wondea, 2015. "A systematic framework to investigate the coverage of abnormal operating procedures in nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 21-30.
    5. 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.
    6. Vaidas Matuzas & Sergio Contini, 2012. "On the efficiency of functional decomposition in fault tree analysis," Journal of Risk and Reliability, , vol. 226(6), pages 635-645, December.
    7. Takeda, Satoshi & Kitada, Takanori, 2023. "Importance measure evaluation based on sensitivity coefficient for probabilistic risk assessment," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    8. S Contini & V Matuzas, 2012. "Coupling decomposition and truncation for the analysis of complex fault trees," Journal of Risk and Reliability, , vol. 226(3), pages 249-261, June.
    9. Lu, Ji-Min & Wu, Xiao-Yue & Liu, Yiliu & Ann Lundteigen, Mary, 2015. "Reliability analysis of large phased-mission systems with repairable components based on success-state sampling," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 123-133.
    10. Ibáñez-Llano, Cristina & Rauzy, Antoine & Meléndez, Enrique & Nieto, Francisco, 2010. "Hybrid approach for the assessment of PSA models by means of binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 95(10), pages 1076-1092.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:94:y:2009:i:11:p:1827-1837. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.