On general uncertainty data and general uncertainty variable for reliability growth analysis of major aerospace equipment
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 21 September 2022
Issue publication date: 16 March 2023
Abstract
Purpose
The purpose of this paper is to explore new ways and lay a solid foundation to solve the problem of reliability growth analysis of major aerospace equipment with various uncertainty data through propose new concepts of general uncertainty data (GUD) and general uncertainty variable (GUV) and build the operation system of GUVs.
Design/methodology/approach
The characteristics of reliability growth data of major aerospace equipment and the limitations of current reliability growth models have been analyzed at first. The most commonly used uncertainty system analysis methods of probability statistics, fuzzy mathematics, grey system theory and rough set theory have been introduced. The concepts of GUD and GUV for reliability growth data analysis of major aerospace equipment are proposed. The simplified form of GUV based on the “kernel” and the degree of uncertainty of GUV is defined. Then an operation system of GUVs is built.
Findings
(1) The concept of GUD; (2) the concept of GUV; (3) The novel operation rules of GUVs with simplified form.
Practical implications
The method exposed in this paper can be used to integrate complex reliability growth data of major aerospace equipment. The reliability growth models based on GUV can be built for reliability growth evaluation and forecasting of major aerospace equipment in practice. The reliability evaluation example of a solid rocket motor shows that the concept and idea proposed in this paper are feasible. The research of this paper opens up a new way for the analysis of complex uncertainty data of reliability growth of major aerospace equipment. Moreover, the operation of GUVs could be extended to the case of algebraic equation, differential equation and matrix which including GUVs.
Originality/value
The new concepts of GUD and GUV are given for the first time. The novel operation rules of GUVs with simplified form were constructed.
Keywords
Acknowledgements
This work was supported by a long term project of national major talent plan of China (YQR20024), a projects of the National Natural Science Foundation of China entitled “Reliability growth evaluation and prediction model of large aerospace equipment (72071111)” and “Research on network of reliability growth of complex equipment under the background of collaborative development” (71671091). It is also supported by a joint project of both the NSFC and the RS of the UK entitled “On grey dynamic scheduling model of complex product based on sensing information of internet of things” (71811530338), a project of Intelligence Introduction base of the Ministry of Science and Technology (G2021181014L). At the same time, the authors would like to acknowledge the partial support of the Fundamental Research Funds for the Excellent Innovation Team of Nanjing University of Aeronautics and Astronautics ([2022]2-22).
Citation
Liu, S. and Tang, W. (2023), "On general uncertainty data and general uncertainty variable for reliability growth analysis of major aerospace equipment", Grey Systems: Theory and Application, Vol. 13 No. 2, pp. 261-276. https://doi.org/10.1108/GS-07-2022-0081
Publisher
:Emerald Publishing Limited
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