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Reliability optimization of k-out-of-n system with random selection of allocative components

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  • Ling, Xiaoliang
  • Wei, Yinzhao
  • Si, Shubin

Abstract

This paper studies the optimal component allocation policy of a k-out-of-n system composed of n independent subsystems. Each subsystem includes one or several allocative components arranged in parallel [series], and these allocative components are drawn from a randomly selected batch of manufactured components. We compare two allocation policies by means of the majorization order. As a consequence, we get the optimal allocation policy under the constraint of the maximum number of components allowed for each subsystem and the entire system. We also analyze the influence of the batches heterogeneity on the k-out-of-n system reliability. Finally, several illustrative examples are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:186:y:2019:i:c:p:186-193
    DOI: 10.1016/j.ress.2019.02.020
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    References listed on IDEAS

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    Cited by:

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    3. Bayramoglu, Ismihan, 2020. "Joint distribution of a random sample and an order statistic: A new approach with an application in reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    4. Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    5. Hongyan Dui & Huiting Xu & Yun-An Zhang, 2022. "Reliability Analysis and Redundancy Optimization of a Command Post Phased-Mission System," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    6. Shekhar, Chandra & Kumar, Amit & Varshney, Shreekant, 2020. "Load sharing redundant repairable systems with switching and reboot delay," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    7. 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).
    8. Man-Ho Ling & Narayanaswamy Balakrishnan & Chenxi Yu & Hon Yiu So, 2021. "Inference for One-Shot Devices with Dependent k -Out-of- M Structured Components under Gamma Frailty," Mathematics, MDPI, vol. 9(23), pages 1-24, November.
    9. Dui, Hongyan & Tian, Tianzi & Zhao, Jiangbin & Wu, Shaomin, 2022. "Comparing with the joint importance under consideration of consecutive-k-out-of-n system structure changes," Reliability Engineering and System Safety, Elsevier, vol. 219(C).

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