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Reliability Analysis of Randomly Weighted k-out-of-n Systems with Heterogeneous Components

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  • Zhang, Yiying

Abstract

The k-out-of-n systems with components having random weights have wide applications in reliability engineering. In this paper, we implement the study on reliability analysis of k-out-of-n systems with heterogeneous components and random weights. Firstly, for a randomly weighted k-out-of-n system with dependent components chosen from two different classes of ordered components, we carry out stochastic comparisons of different random selection strategies with respective to the usual stochastic order, the increasing convex [concave] order, and the expectation order. Secondly, we investigate the performance levels of randomly weighted k-out-of-n systems with components chosen via independent Bernoulli trials under different selection probabilities. Thirdly, we consider the assembly of a randomly weighted k-out-of-n system through drawing n subsystems from m groups with each group consisting of independent and identically distributed components. The effects of selecting strategies and sampling probabilities on the systems total capacities are studied according to the above mentioned stochastic orders when the subsystems possess parallel or series structure. These results can be conducive to assembling randomly weighted k-out-of-n systems in practical scenarios. Numerical examples are provided to illustrate the findings as well.

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  • Zhang, Yiying, 2021. "Reliability Analysis of Randomly Weighted k-out-of-n Systems with Heterogeneous Components," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020306852
    DOI: 10.1016/j.ress.2020.107184
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    1. Ling, Xiaoliang & Wei, Yinzhao & Si, Shubin, 2019. "Reliability optimization of k-out-of-n system with random selection of allocative components," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 186-193.
    2. Eryilmaz, Serkan & Kan, Cihangir, 2020. "Reliability based modeling and analysis for a wind power system integrated by two wind farms considering wind speed dependence," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    3. Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Hazra, Nil Kamal & Finkelstein, Maxim & Cha, Ji Hwan, 2017. "On optimal grouping and stochastic comparisons for heterogeneous items," Journal of Multivariate Analysis, Elsevier, vol. 160(C), pages 146-156.
    5. Li, Wei & Zuo, Ming J., 2008. "Reliability evaluation of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 160-167.
    6. Zhang, Yiying, 2018. "Optimal allocation of active redundancies in weighted k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 110-117.
    7. Eryilmaz, Serkan, 2013. "On reliability analysis of a k-out-of-n system with components having random weights," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 41-44.
    8. Yiying Zhang & Weiyong Ding & Peng Zhao, 2018. "On total capacity of k‐out‐of‐n systems with random weights," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(4), pages 347-359, June.
    9. M. Salehi & Z. Shishebor & M. Asadi, 2019. "On the reliability modeling of weighted k-out-of-n systems with randomly chosen components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 589-605, July.
    10. Samaniego, Francisco J. & Shaked, Moshe, 2008. "Systems with weighted components," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 815-823, April.
    11. Navarro, Jorge & Pellerey, Franco & Di Crescenzo, Antonio, 2015. "Orderings of coherent systems with randomized dependent components," European Journal of Operational Research, Elsevier, vol. 240(1), pages 127-139.
    12. Rezapour, Mohsen & Alamatsaz, Mohammad Hossein, 2014. "Stochastic comparison of lifetimes of two (n−k+1)-out-of-n systems with heterogeneous dependent components," Journal of Multivariate Analysis, Elsevier, vol. 130(C), pages 240-251.
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    7. Eryilmaz, Serkan & Ucum, Kaan Ayberk, 2021. "The lost capacity by the weighted k-out-of-n system upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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