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Analysis of system reliability with control, dependent failures, and arbitrary repair times

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  • Elmira Yu. Kalimulina

    (Russian Academy of Sciences)

Abstract

This work is motivated by modelling of real information systems. Parallel and series reliability models or their combinations are usually used for these tasks. Common assumptions for such models are independent failures, exponentially distributed failures and recoveries. These assumptions simplify a system modelling significantly, but often give a very rude approximation for it. So there are a lot of restrictions for an application of these models to practical tasks. This study presents a system with more general assumptions: dependent failures, arbitrary failures and repairs, and a system with control. We apply a continuous-time semi-Markov process to evaluate the reliability and the mean time to system failure (MTTF) for a system under these assumption. The repair time of each component is assumed to have an arbitrary distribution function (e.g., Weibull, Poisson or exponential). Kolmogorov equations method and the Laplace transform are used to derive generalised expressions for system state probabilities, reliability and MTTF. A numerical example is presented in order to illustrate the performance analysis of the model.

Suggested Citation

  • Elmira Yu. Kalimulina, 2017. "Analysis of system reliability with control, dependent failures, and arbitrary repair times," 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. 8(1), pages 180-188, March.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:1:d:10.1007_s13198-016-0520-5
    DOI: 10.1007/s13198-016-0520-5
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    References listed on IDEAS

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    1. Huang, Wei & Loman, James & Song, Thomas, 2015. "A reliability model of a warm standby configuration with two identical sets of units," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 237-245.
    2. Fiondella, Lance & Xing, Liudong, 2015. "Discrete and continuous reliability models for systems with identically distributed correlated components," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 1-10.
    3. Xiang-Yu Li & Yu Liu & Chu-Jie Chen & Tao Jiang, 2016. "A copula-based reliability modeling for nonrepairable multi-state k-out-of-n systems with dependent components," Journal of Risk and Reliability, , vol. 230(2), pages 133-146, April.
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