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A Reliability Model for Systems with Markov Structure

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  • B. Littlewood

Abstract

A system is considered in which switching takes place between sub‐systems according to a continuous parameter Markov chain. Failures may occur in Poisson processes in the sub‐systems, and in the transitions between sub‐systems. All failure processes are independent. The overall failure process is described exactly and asymptotically for highly reliable sub‐systems. An application to process‐control computer software is suggested.

Suggested Citation

  • B. Littlewood, 1975. "A Reliability Model for Systems with Markov Structure," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 24(2), pages 172-177, June.
    • Handle: RePEc:bla:jorssc:v:24:y:1975:i:2:p:172-177
    DOI: 10.2307/2346564
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    Cited by:

    1. Gran, Bjørn Axel & Fredriksen, Rune & Thunem, Atoosa P.-J., 2007. "Addressing dependability by applying an approach for model-based risk assessment," Reliability Engineering and System Safety, Elsevier, vol. 92(11), pages 1492-1502.
    2. Hiroyuki Okamura & Tadashi Dohi, 2021. "Application of EM Algorithm to NHPP-Based Software Reliability Assessment with Generalized Failure Count Data," Mathematics, MDPI, vol. 9(9), pages 1-18, April.
    3. Zeeshan Ali Siddiqui & Mohd. Haroon, 2024. "Ranking of components for reliability estimation of CBSS: an application of entropy weight fuzzy comprehensive evaluation model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2438-2452, June.
    4. Umesh Kumar Tiwari & Santosh Kumar & Priya Matta, 2020. "Execution-history based reliability estimation for component-based software: considering reusability-ratio and interaction-ratio," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(5), pages 1003-1019, October.

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