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

In: Recent Advances in System Reliability

Author

Listed:
  • Ilya B. Gertsbakh

    (Ben Gurion University of the Negev)

  • Yoseph Shpungin

    (Sami Shamoon College of Engineering)

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.

Suggested Citation

  • Ilya B. Gertsbakh & Yoseph Shpungin, 2012. "Using D-Spectra in Network Monte Carlo: Estimation of System Reliability and Component Importance," Springer Series in Reliability Engineering, in: Anatoly Lisnianski & Ilia Frenkel (ed.), Recent Advances in System Reliability, chapter 0, pages 23-31, Springer.
  • Handle: RePEc:spr:ssrchp:978-1-4471-2207-4_2
    DOI: 10.1007/978-1-4471-2207-4_2
    as

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