# A Reliability Analysis Method of Multiple Components System Based on Copula Function

• Fei Teng
• Xiaoming Wang
• Yuliang Li
• Wenke Hou
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1146)

## Abstract

Through analysis the characteristics of multiple components system with tri-states, this paper builds a reliability model for the tri-states system with failure dependent, which suppose the system has three states: work, failure of safety and failure of danger. The component included in the system have two kinds of state: work or failure. The components failure behavior between components are interdependent. Through the use of copulas function, we derived the reliability index for system under different structure with the dependency of components, and obtain the mathematical formula of probability of work, failure of safety and failure of danger, mean time to failure of safety, mean time to failure of danger, which makes reliability analysis more accurate.

## Keywords

Reliability Safety Copula function Failure System

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## Authors and Affiliations

• Fei Teng
• 1
• 2
• Xiaoming Wang
• 2
Email author
• Yuliang Li
• 2
• Wenke Hou
• 2
1. 1.Naval Aeronautical UniversityYantaiChina