Reliability and Maintenance Modeling with Optimization

2Replacement First and Last Policies with Random Times for Redundant Systems

Satoshi Mizutani

Aichi Institute of Technology, Japan

Mingchih Chen

Fu Jen Catholic University, Taiwan

CONTENTS

• 2.1 Introduction

• 2.2 Random Age Replacement

  • 2.2.1 Random Replacement Distribution

  • 2.2.1 Replacement Policies for Single Unit System

• 2.3 Replacement Policies for Redundant System

• 2.4 Series System

• 2.5 Parallel System

• 2.6 Random K-out-of-n System

• 2.7 Numerical Examples of Four Redundant Systems with 4 Units

• 2.8 Conclusions

2.1 INTRODUCTION

Failures of complex systems such as networks and database systems sometimes cause great damage in society. Therefore, suitable maintenance schedules are very important to assure the safety and reliability of systems ...