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Performance reliability analysis of multi-state degraded system with improved Lz transform

Author

Listed:
  • Yubin Zheng
  • Jie Song
  • Yingzhi Zhang
  • Shengdong Hou
  • Jun Zheng

Abstract

Universal Generating Functions and L z transformations have been widely used in the reliability modeling of multi-state systems. In order to solve the problem of complex calculations due to the dense random combination of multi-state performance parameters in the L z transformation, a screening function is defined before the L z transformation, and the screening function is combined with the performance threshold to screening the state performance parameters in advance, and the process is simplified through the screen matrix and the screen block diagram, effectively reduce the combined dimensions and quantity, improve the efficiency of reliability analysis, and combine with specific examples for application verification.

Suggested Citation

  • Yubin Zheng & Jie Song & Yingzhi Zhang & Shengdong Hou & Jun Zheng, 2023. "Performance reliability analysis of multi-state degraded system with improved Lz transform," Journal of Risk and Reliability, , vol. 237(1), pages 228-241, February.
    • Handle: RePEc:sae:risrel:v:237:y:2023:i:1:p:228-241
    DOI: 10.1177/1748006X211068994
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    References listed on IDEAS

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    1. Li, Yan-Fu & Zio, Enrico, 2012. "A multi-state model for the reliability assessment of a distributed generation system via universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 28-36.
    2. Lisnianski, Anatoly & Ding, Yi, 2009. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1788-1795.
    3. Yeh, Wei-Chang & Chu, Ta-Chung, 2018. "A novel multi-distribution multi-state flow network and its reliability optimization problem," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 209-217.
    4. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, June.
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