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Using D-Spectra in Network Monte Carlo: Estimation of System Reliability and Component Importance

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Recent Advances in System Reliability

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

We present a combinatorial definition of network-type system destruction spectrum (signature) and component importance D-spectra, and demonstrate how Birnbaum importance measures (BIMs) can be expressed via these spectra. We demonstrate an efficient algorithm which calculates simultaneously system reliability spectrum and BIM spectra for all its components. Use of BIMs in optimal system design is discussed.

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References

  • Barlow RE, Proschan F (1975) Statistical theory of reliability and life testing. Holt, Rinehart and Winston, New York

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel

    Ilya B. Gertsbakh

  2. Software Engineering Department, Sami Shamoon College of Engineering, Beer Sheva, Israel

    Yoseph Shpungin

Authors
  1. Ilya B. Gertsbakh
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  2. Yoseph Shpungin
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Corresponding author

Correspondence to Ilya B. Gertsbakh .

Editor information

Editors and Affiliations

  1. Planning, Development and Technology Div, The System Reliability Department, The Israel Electric Corporation Ltd., New Office Building, st. Nativ haor 1, Haifa, Israel

    Anatoly Lisnianski

  2. , Industrial Engineering and Management De, Shamoon College of Engineering, Bialik/Basel Sts. 21, Beer Sheva, 84100, Israel

    Ilia Frenkel

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© 2012 Springer-Verlag London Limited

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Gertsbakh, I.B., Shpungin, Y. (2012). Using D-Spectra in Network Monte Carlo: Estimation of System Reliability and Component Importance. In: Lisnianski, A., Frenkel, I. (eds) Recent Advances in System Reliability. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-2207-4_2

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  • DOI: https://doi.org/10.1007/978-1-4471-2207-4_2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2206-7

  • Online ISBN: 978-1-4471-2207-4

  • eBook Packages: EngineeringEngineering (R0)

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