Abstract

Except the two types of state, complete failure and perfect functioning, some intermediate states also existed between those two states. This characteristic enables multistate system (MSS) whose components are often of more than two states. Moreover, because of dependence between components, common cause failure (CCF) enhances the failure risk of components during the operating period of MSS. A protection mechanism needs to be adopted because of the importance of certain components. For a MSS with CCF and protection mechanism, its reliability can be evaluated by a proposed approach. Certain components not only can cause failure at one state, but also can cause failure to other components because of the CCF. Under the impact of one type of CCF, those components can constitute a specific group that can overlap with certain components. Universal generating function (UGF) is adopted to incorporate the CCF and protection mechanism of a component. Consequently, reliability indices of a MSS can be evaluated by the proposed approach based on UGF. Examples and comparisons illustrate and validate this method. This method can also help engineers prioritize elements that require protection mechanism under various resource limitations.

Highlights

  • With the development of industrial technology, product quality is being considered as an important aspect for customers

  • To evaluate the reliability of series-parallel multistate system (MSS) with common cause failure (CCF) and protection, a reliability evaluation approach is recommended in this paper

  • Components that can evoke the CCF may trigger failures of different subgroups of system components. ese subgroups can overlay with certain components

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Summary

Introduction

With the development of industrial technology, product quality is being considered as an important aspect for customers. A new approach based on logical differential calculus is proposed for importance analysis and application of MSS, where MSS states change depending on simultaneous changing of some components’ states [6, 7] Other technologies including these for assessment and optimization can be applied to MSSs in industries [8,9,10,11]. A rich body of research has been conducted for addressing effects of CCF in reliability analysis of diverse types of systems, protecting mechanism on certain important elements during the reliability assessment of an MSS with CCF is seldom focused on. The procedure aims to evaluate the reliability of an MSS with CCF under the protection measures implemented on certain important elements.

Modeling of MSS
UGF and Reliability Evaluation
Illustrative Examples
C11 C12 C13 C21 C22
Findings
Conclusion
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