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Reliability and performance of multi-state systems with propagated failures having selective effect

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  • Levitin, Gregory
  • Xing, Liudong

Abstract

The paper presents an algorithm for evaluating performance distribution of complex series-parallel multi-state systems with common cause failures caused by propagation of failures in system elements. The failure propagation can have a selective effect, which means that the failures originated from different elements can cause failures of different subsets of system elements. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method (recursive aggregation of pairs of elements and their replacement by an equivalent one). The performance distribution evaluation procedure is repeated for each combination of common cause failures. Illustrative examples are provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:95:y:2010:i:6:p:655-661
    DOI: 10.1016/j.ress.2010.02.003
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    References listed on IDEAS

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    1. 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.
    2. Ramirez-Marquez, Jose E. & Coit, David W., 2007. "Optimization of system reliability in the presence of common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1421-1434.
    3. 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.
    4. Levitin, Gregory & Amari, Suprasad V., 2008. "Multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1730-1739.
    5. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, February.
    Full references (including those not matched with items on IDEAS)

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