Abstract
Series systems, whose structures are simple, are widely discovered in practical engineering, but the interdependency between the components is complex, such as common cause failure. With the consideration of the components’ strength, this paper focuses on ranking the importance measure of components considering the common cause failure based on the stress-strength interference (SSI) model. The weakest component can be identified by integrating the SSI model with the importance measure when the strength mean and variance of the component under the load stress is known. Firstly, the analytic methods are proposed to calculate the SSI-based importance of components in the series systems. Then, the monotonicity of SSI-based importance is analyzed by changing the strength mean or strength variance of one component. The results show that the SSI-based importance of components, whose parameters are changed, will reduce monotonically with the increase of strength mean or increase monotonically with the increase of strength variance. Finally, a component replacement method is developed based on the rules that both the importance of replaced component and the importance ranks should be unchanged after the replacement. SSI-based importance can help engineers to make maintenance decisions, and the component replacement method can increase the diversity of spare parts by finding the equivalent components.
Highlights
The protection and security of components should be considered in the implementation of risk management, and the interdependencies within the components are a significant challenge for risk management
In order to analyze the changes in the stress-strength interference (SSI)-based importance and its rate with the increase of component variance, the strength mean of components in the series systems is Experiment II: A four-component series system is introduced to illustrate the changes of SSI-based importance if the parameters of component 1 change and the parameters of other components are un
The SSI-based importance of all components in the series systems can be evaluated based on Equation 6, and the importance ranks of all components can be obtained by comparing the importance values of all components
Summary
The protection and security of components should be considered in the implementation of risk management, and the interdependencies within the components are a significant challenge for risk management. The importance measures are always calculated based on the independent reliabilities by assuming the component failure in a system is statistical independent, such as references [44] and [30] This assumption is accordant with the possible working conditions for electronic systems, while it could not apply to the mechanical systems with complicated failure modes and failure mechanisms. Xie et al [36] introduced the concept of order statistics into the SSI model and calculated the equivalent strength of series, parallel, and k out of n systems for evaluating the system reliability.
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