Element Importance

  • Ilya GertsbakhEmail author
  • Yoseph Shpungin
Part of the SpringerBriefs in Electrical and Computer Engineering book series (BRIEFSELECTRIC)


Birnbaum Importance Measure (BIM) of element j is defined as \(\partial R/\partial p_j\), where R is system reliability. \(BIM_j\) measures the influence of element j reliability \(p_j\) on system reliability R. Element importance analysis plays important role in system reliability design. We consider in this chapter several methods of calculating \(BIM_j\) based on Monte Carlo, direct enumeration and structure analysis for some simple structures like series and parallel systems. We demonstrate also the impact of most important element improvement on system reliability.


BIM Series/parallel systems Enumeration Monte Carlo Optimal design 


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Copyright information

© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsBen Gurion UniversityBeer-ShevaIsrael
  2. 2.Software Engineering DepartmentShamoon College of EngineeringBeer-ShevaIsrael

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