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Extended LK heuristics for the optimization of linear consecutive-k-out-of-n: F systems considering parametric uncertainty and model uncertainty

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  • Qiu, Siqi
  • Sallak, Mohamed
  • Schön, Walter
  • Ming, Henry X.G.

Abstract

The optimization of the consecutive-k-out-of-n system is to find the optimal assignment of components that maximizes the system reliability. Many efforts have been devoted to the component assignment problems (CAPs) for such systems, however, uncertainties about the reliability data of components and the system structure have never been deeply studied in CAPs. Due to the insufficiency of relative data and system complexities, uncertainties inevitably exist in many real engineering problems. This paper extends the LK heuristic using a non-probabilistic graphical model called evidential network, and interval-valued importance measures to perform the optimization of linear consecutive-k-out-of-n: F systems under parametric uncertainty (related to the reliability data of components) and model uncertainty (related to the system structure). The extended LK heuristics are applied to an oil pipeline system and an illustrative example system to show their feasibility and applicability. The originality of this work lies in the extension of the CAPs to consider different kinds of uncertainties and the proposition of heuristics to find the near optimal assignment of components under uncertainties according to the preference level of the decision maker.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:175:y:2018:i:c:p:51-61
    DOI: 10.1016/j.ress.2018.01.016
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    4. 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.
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    7. S Eryilmaz, 2010. "Review of recent advances in reliability of consecutive k-out-of-n and related systems," Journal of Risk and Reliability, , vol. 224(3), pages 225-237, September.
    8. Qiu, S. & Rachedi, N. & Sallak, M. & Vanderhaegen, F., 2017. "A quantitative model for the risk evaluation of driver-ADAS systems under uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 184-191.
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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. 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).
    3. Tian-yuan, Ye & Lin-lin, Liu & He-wei, Pang & Yuan-zi, Zhou, 2023. "Bayesian Networks based approach to enhance GO methodology for reliability modeling of multi-state consecutive-k-out-of-n: F system," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    4. 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).
    5. Endharta, Alfonsus Julanto & Yun, Won Young & Ko, Young Myoung, 2018. "Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 226-236.
    6. Qiu, Siqi & Ming, Henry X.G., 2019. "Reliability evaluation of multi-state series-parallel systems with common bus performance sharing considering transmission loss," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 406-415.
    7. 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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