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

Yubin Zheng, Jie Song, Yingzhi Zhang, Shengdong Hou and Jun Zheng

Journal of Risk and Reliability, 2023, vol. 237, issue 1, 228-241

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.

Keywords: Multi-state degenerate system; universal generating function; vector Lz transformation; screening function; performance reliability analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:237:y:2023:i:1:p:228-241

DOI: 10.1177/1748006X211068994

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