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An extended Birnbaum importance-based two-stage heuristic for component assignment problems under uncertainty

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  • Qiu, Siqi
  • Ming, Xinguo

Abstract

The component assignment problem (CAP) is to find the optimal assignment of n components to n positions in a system that maximizes the system reliability. Due to the insufficiency and the inaccuracy of related data and system complexities, there are different types of uncertainties in real-world engineering system analysis. This paper proposes an extended Birnbaum importance (BI)-based two-stage (EBITS) heuristic using evidential network and interval-valued BI measures for solving CAPs under parametric and model uncertainties. The parametric uncertainty is the uncertainty about component reliabilities and the model uncertainty is the uncertainty about the system structure. The proposed method is applied to find the optimal assignment of valves in a ship’s fuel service system.

Suggested Citation

  • Qiu, Siqi & Ming, Xinguo, 2020. "An extended Birnbaum importance-based two-stage heuristic for component assignment problems under uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:reensy:v:204:y:2020:i:c:s0951832020306359
    DOI: 10.1016/j.ress.2020.107134
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    References listed on IDEAS

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    1. Dubois, Didier, 2006. "Possibility theory and statistical reasoning," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 47-69, November.
    2. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    3. Qingzhu Yao & Xiaoyan Zhu & Way Kuo, 2014. "A Birnbaum-importance based genetic local search algorithm for component assignment problems," Annals of Operations Research, Springer, vol. 212(1), pages 185-200, January.
    4. Qingzhu Yao & Xiaoyan Zhu & Way Kuo, 2011. "Heuristics for component assignment problems based on the Birnbaum importance," IISE Transactions, Taylor & Francis Journals, vol. 43(9), pages 633-646.
    5. Zhu, Xiaoyan & Fu, Yuqiang & Yuan, Tao & Wu, Xinying, 2017. "Birnbaum importance based heuristics for multi-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 209-221.
    6. Simon, Christophe & Bicking, Frédérique, 2017. "Hybrid computation of uncertainty in reliability analysis with p-box and evidential networks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 629-638.
    7. Cai, Zhiqiang & Si, Shubin & Sun, Shudong & Li, Caitao, 2016. "Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 248-258.
    8. Mingjian Zuo & Way Kuo, 1990. "Design and performance analysis of consecutive‐K‐out‐of‐n structure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 203-230, April.
    9. Mi, Jinhua & Li, Yan-Feng & Peng, Weiwen & Huang, Hong-Zhong, 2018. "Reliability analysis of complex multi-state system with common cause failure based on evidential networks," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 71-81.
    10. Qiu, Siqi & Sallak, Mohamed & Schön, Walter & Ming, Henry X.G., 2018. "Extended LK heuristics for the optimization of linear consecutive-k-out-of-n: F systems considering parametric uncertainty and model uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 51-61.
    11. Aven, T., 2011. "Interpretations of alternative uncertainty representations in a reliability and risk analysis context," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 353-360.
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    Cited by:

    1. Qiu, Siqi & Ming, Xinguo & Sallak, Mohamed & Lu, Jialiang, 2022. "A Birnbaum importance-based two-stage approach for two-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    2. Wang, Dan & Si, Shubin & Cai, Zhiqiang & Zhao, Jiangbin, 2021. "Reliability optimization of linear consecutive-k-out-of-n: F systems driven by reconfigurable importance," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    3. Ma, Chengye & Du, Yongjun & Zhang, Yuchun & Cai, Zhiqiang, 2022. "Marginal and joint failure importance for K-terminal network edges under counting process," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    4. Mi, Jinhua & Lu, Ning & Li, Yan-Feng & Huang, Hong-Zhong & Bai, Libing, 2022. "An evidential network-based hierarchical method for system reliability analysis with common cause failures and mixed uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    5. Liu, Mingli & Wang, Dan & Zhao, Jiangbin & Si, Shubin, 2022. "Importance measure construction and solving algorithm oriented to the cost-constrained reliability optimization model," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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