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Importance Analysis of a Multi-State System Based on Multiple-Valued Logic Methods

In: Recent Advances in System Reliability

Author

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  • Elena Zaitseva

    (University of Žilina)

Abstract

Importance analysis allows to identify vulnerabilities within a system and to quantify criticality (importance) of system components. Importance measures estimate peculiarities of the particular system component influence on a system. New methodology based on logical differential calculus for importance analysis of a multi-state system is discussed. Algorithms for calculation of multi-state system importance measures (IM) are proposed. These algorithms allow to compute traditional IMs as Birnbaum and Fussell-Vesely importance, reliability achievement worth, reliability reduction worth and a new type of IM as dynamic reliability indices.

Suggested Citation

  • Elena Zaitseva, 2012. "Importance Analysis of a Multi-State System Based on Multiple-Valued Logic Methods," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel (ed.), Recent Advances in System Reliability, chapter 0, pages 113-134, Springer.
    • Handle: RePEc:spr:ssrchp:978-1-4471-2207-4_8
    DOI: 10.1007/978-1-4471-2207-4_8
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    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.

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