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Reliability of sliding window systems with two failure modes

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  • Lu, Shaoqi
  • Shi, Daimin
  • Xiao, Hui

Abstract

This research innovatively proposes a new two failure criteria sliding window system. In this system, there exist x linearly ordered multi-state elements and each element has different performance rates ranging from complete failure to perfect functioning. The system fails if either the total number of failed groups of r consecutive elements reaches k or the gap between any two adjacent failed groups of r consecutive elements is less than m working groups. To evaluate the reliability of the proposed system, we extend the universal moment generating function technique and suggest a corresponding algorithm. The reliability importance of the proposed system is also analyzed. Furthermore, we use the genetic algorithm to determine the optimal element allocation and demonstrate how the element allocation affects the system reliability. Both analytical and numerical examples are presented to illustrate the model and the algorithm.

Suggested Citation

  • Lu, Shaoqi & Shi, Daimin & Xiao, Hui, 2019. "Reliability of sliding window systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 366-376.
    • Handle: RePEc:eee:reensy:v:188:y:2019:i:c:p:366-376
    DOI: 10.1016/j.ress.2019.03.042
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    References listed on IDEAS

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    Cited by:

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    2. Mo, Yuchang & Xing, Liudong & Zhang, Lejun & Cai, Shaobin, 2020. "Performability analysis of multi-state sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    3. Ding, Yi & Hu, Yishuang & Li, Daqing, 2021. "Redundancy Optimization for Multi-Performance Multi-State Series-Parallel Systems Considering Reliability Requirements," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    4. Wang, Wei & Fu, Yongnian & Si, Peng & Lin, Mingqiang, 2020. "Reliability analysis of circular multi-state sliding window system with sequential demands," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    5. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    6. Wu, Congshan & Zhao, Xian & Wang, Siqi & Song, Yanbo, 2022. "Reliability analysis of consecutive-k-out-of-r-from-n subsystems: F balanced systems with load sharing," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    7. Weiguang Zheng & Haonan Jiang & Shande Li & Qiuxiang Ma, 2023. "Reliability Analysis of High-Voltage Drive Motor Systems in Terms of the Polymorphic Bayesian Network," Mathematics, MDPI, vol. 11(10), pages 1-21, May.
    8. Wang, Wei & Fang, Chao & Liu, Shan & Xiang, Yisha, 2021. "Reliability analysis and optimization of multi-state sliding window system with sequential demands and time constraints," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    9. Bigatti, A.M. & Pascual-Ortigosa, P. & Sáenz-de-Cabezón, E., 2021. "A C++ class for multi-state algebraic reliability computations," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    10. Wang, Wei & Fang, Chao & Wang, Yan & Li, Jin, 2022. "Reliability Modeling and Optimization of Circular Multi-State Sliding Time Window System with Sequential Demands," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

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