Importance measures for degrading components based on cooperative game theory
International Journal of Quality & Reliability Management
ISSN: 0265-671X
Article publication date: 27 September 2019
Issue publication date: 14 January 2020
Abstract
Purpose
The purpose of this paper is to propose new importance measures for degrading components based on Shapley value, which can provide answers about how important players are to the whole cooperative game and what payoff each player can reasonably expect.
Design/methodology/approach
The proposed importance measure characterizes how a specific degrading component contributes to the degradation of system reliability by using Shapley value. Degradation models are also introduced to assess the reliability of degrading components. The reliability of system consisting independent degrading components is obtained by using structure functions, while reliability of system comprising correlated degrading components is evaluated with a multivariate distribution.
Findings
The ranking of degrading components according to the newly developed importance measure depends on the degradation parameters of components, system structure and parameters characterizing the association of components.
Originality/value
Considering the fact that reliability degradation of engineering systems and equipment are often attributed to the degradation of a particular or set of components that are characterized by degrading features. This paper proposes new importance measures for degrading components based on Shapley value to reflect the responsibility of each degrading component for the deterioration of system reliability. The results are also able to give timely feedback of the expected contribution of each degrading component to system reliability degradation.
Keywords
Acknowledgements
The authors gratefully acknowledge the financial supports for this research from the China Scholarship Council (No. 201806830056), National Natural Science Foundation of China (Nos 71671091, 71701098 and 71801127), Natural Science Foundation of Jiangsu Province (BK20160940). Basic Scientific Research Fundation of Nanjing University of Aeronautics and Astronautics (NC2019003, NP2019104). The statements made herein are solely the responsibility of the authors.
Citation
Cao, Y., Liu, S. and Fang, Z. (2020), "Importance measures for degrading components based on cooperative game theory", International Journal of Quality & Reliability Management, Vol. 37 No. 2, pp. 189-206. https://doi.org/10.1108/IJQRM-10-2018-0278
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited