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Multistate systems with static performance- dependent fault coverage

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  • G Levitin
  • S V Amari

Abstract

The paper suggests a new fault coverage model for the case when the effectiveness of recovery mechanisms in a subsystem depends on the entire performance level of this subsystem. Examples of this effect can be found in computing systems, electrical power distribution networks, communication systems, etc. The paper presents a modification of the generalized reliability block diagram (RBD) method for evaluating reliability and performance indices of complex multistate series-parallel systems with performance-dependent fault coverage under the assumption that the system state cannot change during the task execution. The suggested method based on a universal generating function technique allows the system performance distribution to be obtained using a straightforward recursive procedure. Illustrative examples are presented.

Suggested Citation

  • G Levitin & S V Amari, 2008. "Multistate systems with static performance- dependent fault coverage," Journal of Risk and Reliability, , vol. 222(2), pages 95-103, June.
    • Handle: RePEc:sae:risrel:v:222:y:2008:i:2:p:95-103
    DOI: 10.1243/1748006XJRR172
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    References listed on IDEAS

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    1. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, January.
    2. Levitin, Gregory, 2007. "Block diagram method for analyzing multi-state systems with uncovered failures," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 727-734.
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    Citations

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    Cited by:

    1. Jafary, Bentolhoda & Fiondella, Lance, 2016. "A universal generating function-based multi-state system performance model subject to correlated failures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 16-27.
    2. Levitin, Gregory & Xing, Liudong, 2010. "Reliability and performance of multi-state systems with propagated failures having selective effect," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 655-661.
    3. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2011. "Multi-state systems with selective propagated failures and imperfect individual and group protections," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1657-1666.

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