Stochastic Models in Reliability Engineering

1 Reliability Analysis of a Pseudo Working Markov Repairable System

Bei Wu and Lirong Cui

DOI: 10.4324/9780429331527-1

Contents

• 1.1 Introduction
• 1.2 Basic Assumptions
• 1.3 Reliability Indexes
  • 1.3.1 Case of Constant τ
    • 1.3.1.1 Time to First Failure
    • 1.3.1.2 Point-Wise and Interval Availabilities
  • 1.3.2 Case of Random τ
• 1.4 Numerical Examples and Special Cases
• 1.5 Conclusions
• References

1.1 Introduction

A reliability analysis of a Markov repairable system has been a hot topic for some time and various models based on Markov processes have been developed. For example, Liu et al. (2015) proposed a cold standby repairable system with working vacations and vacation interruption following a Markovian arrival process. Montoro-Cazorla and Pérez-Ocón ...