Stochastic Models in Reliability Engineering

7 Reliability Analysis of Multi-State Systems with Dependent Failures Based on Copula

Xujie Jia, Xueying Song, and Gang Li

DOI: 10.4324/9780429331527-7

Contents

• 7.1 Introduction
• 7.2 Copula
  • 7.2.1 Definition of Copula
  • 7.2.2 Copula Selection and Parameter Estimation
• 7.3 Modelling and Reliability Analysis of Dependent Multi-State Systems
  • 7.3.1 Series Dependent Multi-State System
  • 7.3.2 Parallel Dependent Multi-State System
• 7.4 Application
  • 7.4.1 Series Process of a Hydrocyclone System
  • 7.4.2 Parallel Process of a Hydrocyclone System
• 7.5 Conclusions
• Acknowledgement
• References

7.1 Introduction

Traditional binary-state systems have only two discrete system states: functional (working) and non-functional (failure). However, many practical ...