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Importances of components and events in non-coherent systems and risk models

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  • Vaurio, Jussi K.

Abstract

Component importance measures have been defined and applied so far mostly for coherent systems. This paper develops and compares possible extensions of the traditional measures to non-coherent systems. The focus is on Birnbaum- and Criticality-type importances, both with respect to system unavailability and system failure intensity. Several versions are suggested for both measure types, each with different interpretation and potential applications. The measures are presented in terms of Boolean system logic functions so that they can be quantified with usual fault tree techniques even for large systems without manually solving and derivation of lengthy analytical functions. Examples demonstrate the method and discover some potential problems in system design if a component can initiate an accident while it is also part of a safety function to prevent an accident. Results are compared to earlier published results obtained with different algorithms.

Suggested Citation

  • Vaurio, Jussi K., 2016. "Importances of components and events in non-coherent systems and risk models," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 117-122.
    • Handle: RePEc:eee:reensy:v:147:y:2016:i:c:p:117-122
    DOI: 10.1016/j.ress.2015.11.007
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    References listed on IDEAS

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    1. 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.
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    6. Contini, Sergio & Matuzas, Vaidas, 2011. "New methods to determine the importance measures of initiating and enabling events in fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 775-784.
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    Cited by:

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    2. Sedlacek, Peter & Zaitseva, Elena & Levashenko, Vitaly & Kvassay, Miroslav, 2021. "Critical state of non-coherent multi-state system," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    3. Dui, Hongyan & Si, Shubin & Wu, Shaomin & Yam, Richard C.M., 2017. "An importance measure for multistate systems with external factors," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 49-57.
    4. Aliee, Hananeh & Borgonovo, Emanuele & Glaß, Michael & Teich, Jürgen, 2017. "On the Boolean extension of the Birnbaum importance to non-coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 191-200.
    5. Lu, Xuefei & Baraldi, Piero & Zio, Enrico, 2020. "A data-driven framework for identifying important components in complex systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Lyu, Dong & Si, Shubin, 2020. "Dynamic importance measure for the K-out-of-n: G system under repeated random load," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    7. Zaitseva, Elena & Levashenko, Vitaly & Sedlacek, Peter & Kvassay, Miroslav & Rabcan, Jan, 2021. "Logical differential calculus for calculation of Birnbaum importance of non-coherent system," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
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