On the Boolean extension of the Birnbaum importance to non-coherent systems

Hananeh Aliee, Emanuele Borgonovo, Michael Glaß and Teich, Jürgen

Reliability Engineering and System Safety, 2017, vol. 160, issue C, 191-200

Abstract: The Birnbaum importance measure plays a central role in reliability analysis. It has initially been introduced for coherent systems, where several of its properties hold and where its computation is straightforward. This work introduces a Boolean expression for the notion of criticality that allows the seamless extension of the Birnbaum importance to non-coherent systems. As a key feature, the novel definition makes the computation and encoding straightforward with well-established techniques such as Binary Decision Diagrams (BDDs) or Fault Trees (FTs). Several examples and a case study illustrate the findings.

Keywords: Reliability analysis; Importance measures; Birnbaum importance measure; Coherent systems; Non-Coherent systems (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:160:y:2017:i:c:p:191-200

DOI: 10.1016/j.ress.2016.12.013

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