Journal
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY
Volume 237, Issue 1, Pages 228-241Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1748006X211068994
Keywords
Multi-state degenerate system; universal generating function; vector L-z transformation; screening function; performance reliability analysis
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This article introduces the widely used Universal Generating Functions and L-z transformations in the reliability modeling of multi-state systems. In order to solve the problem of complex calculations in the L-z transformation, a screening function is defined to screen the state performance parameters in advance, and the process is simplified through the screen matrix and the screen block diagram, effectively reducing dimensions and improving reliability analysis efficiency.
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.
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