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MTBF for K-out-of-N: G Systems with M Failure Modes

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  • Moustafa Magdi S.

    (The American University in Cairo, Cairo, Egypt. mmostafa@aucegypt.edu)

Abstract

This paper presents a continuous time Markov chain (CTMC) model to obtain closed form expressions of the mean time between system failures (MTBF) for K-out-of-N:G systems subject to M exponential failure modes and repairs. The results are obtained by using explicit matrix representations of the systems.

Suggested Citation

  • Moustafa Magdi S., 2008. "MTBF for K-out-of-N: G Systems with M Failure Modes," Stochastics and Quality Control, De Gruyter, vol. 23(2), pages 219-226, January.
    • Handle: RePEc:bpj:ecqcon:v:23:y:2008:i:2:p:219-226:n:6
    DOI: 10.1515/EQC.2008.219
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    References listed on IDEAS

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    1. Cui, Lirong & Li, Haijun, 2007. "Analytical method for reliability and MTTF assessment of coherent systems with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 300-307.
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