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Optimal element loading for linear sliding window systems

Author

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  • Hui Xiao
  • Rui Peng
  • Wenbin Wang
  • Fei Zhao

Abstract

Many engineering systems are designed to support load with different amounts. The load carried by the system has a significant effect on the deterioration of the system elements. This article presents an algorithm for determining the optimal load given to each multi-state element in a linear sliding window system such that the reliability of the system can be maximized. The model considers both the effect of load on the failure rate and the relationship between load and performance for each element. A reliability evaluation algorithm based on universal generating function is suggested for the proposed load-dependent linear sliding window system. The optimal load distribution problem is solved using genetic algorithms. Numerical experiments are presented to illustrate the proposed methods.

Suggested Citation

  • Hui Xiao & Rui Peng & Wenbin Wang & Fei Zhao, 2016. "Optimal element loading for linear sliding window systems," Journal of Risk and Reliability, , vol. 230(1), pages 75-84, February.
    • Handle: RePEc:sae:risrel:v:230:y:2016:i:1:p:75-84
    DOI: 10.1177/1748006X15580218
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    References listed on IDEAS

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    1. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Optimal component loading in 1-out-of-N cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 58-64.
    2. Hong-Zhong Huang & Jian Qu & Ming Zuo, 2009. "Genetic-algorithm-based optimal apportionment of reliability and redundancy under multiple objectives," IISE Transactions, Taylor & Francis Journals, vol. 41(4), pages 287-298.
    3. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, January.
    4. Nourelfath, Mustapha & Yalaoui, Farouk, 2012. "Integrated load distribution and production planning in series-parallel multi-state systems with failure rate depending on load," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 138-145.
    5. Levitin, Gregory & Ben-Haim, Hanoch, 2011. "Consecutive sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1367-1374.
    6. Ye, Zhisheng & Li, Zhizhong & Xie, Min, 2010. "Some improvements on adaptive genetic algorithms for reliability-related applications," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 120-126.
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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Huang, Hong-Zong, 2019. "Dynamic demand satisfaction probability of consecutive sliding window systems with warm standby components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 397-405.
    2. Wu, Di & Chi, Yuanying & Peng, Rui & Sun, Mengyao, 2019. "Reliability of capacitated systems with performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 335-344.

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