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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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    1. Ouzineb, Mohamed & Nourelfath, Mustapha & Gendreau, Michel, 2008. "Tabu search for the redundancy allocation problem of homogenous series–parallel multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1257-1272.
    2. Jinsen Zhuang & Xiaohu Li, 2015. "Allocating Redundancies to k-out-of-n Systems with Independent and Heterogeneous Components," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(24), pages 5109-5119, December.
    3. Kim, Heungseob & Kim, Pansoo, 2017. "Reliability–redundancy allocation problem considering optimal redundancy strategy using parallel genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 153-160.
    4. Rui Peng & Qingqinq Zhai & Liudong Xing & Jun Yang, 2016. "Reliability analysis and optimal structure of series-parallel phased-mission systems subject to fault-level coverage," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 736-746, August.
    5. Nil Kamal Hazra & Asok K. Nanda, 2017. "General standby allocation in series and parallel systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9842-9858, October.
    6. Li, Y.F. & Peng, R., 2014. "Availability modeling and optimization of dynamic multi-state series–parallel systems with random reconfiguration," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 47-57.
    7. 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.
    8. Qiu, Qingan & Cui, Lirong & Gao, Hongda & Yi, He, 2018. "Optimal allocation of units in sequential probability series systems," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 351-363.
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    Cited by:

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    3. 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.
    4. 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).
    5. 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).
    6. Wang, Xiaoyue & Zhao, Xian & Wang, Siqi & Sun, Leping, 2020. "Reliability and maintenance for performance-balanced systems operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    7. Soheil Azizi & Milad Mohammadi, 2023. "Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 1021-1044, June.
    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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