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The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system

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  • Qin, Shuidan
  • Wang, Bing Xing
  • Tsai, Tzong-Ru
  • Wang, Xiaofei

Abstract

In this paper, the prediction intervals of the off-line and online remaining useful lifetimes for the k-out-of-n load-sharing system is studied under the equal load-sharing rule. When the lifetime of each component follows the Weibull distribution, the maximum likelihood estimators and two-stage estimators of the model parameters, system reliability and mean lifetime are proposed. The Wald and bootstrap-type confidence intervals for the model parameters are developed. The performance of the proposed prediction intervals is assessed by using Monte Carlo simulation. The simulation results indicate that the coverage probabilities of the proposed bootstrap-type prediction intervals are close to the nominal confidence levels even if the sample size is small. A real example is utilized to illustrate the proposed bootstrap-type prediction interval methods.

Suggested Citation

  • Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    • Handle: RePEc:eee:reensy:v:233:y:2023:i:c:s0951832023000066
    DOI: 10.1016/j.ress.2023.109091
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    References listed on IDEAS

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    2. Oszczypała, Mateusz & Konwerski, Jakub & Ziółkowski, Jarosław & Małachowski, Jerzy, 2024. "Reliability analysis and redundancy optimization of k-out-of-n systems with random variable k using continuous time Markov chain and Monte Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    3. Davies, Katherine & Dembińska, Anna, 2024. "On the residual lifetimes of dependent components upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 248(C).

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