Reliability and Maintenance Modeling with Optimization

1Nine Memorial Research Works

Toshio Nakagawa

Aichi Institute of Technology, Japan

CONTENTS

• 1.1 Introduction

• 1.2 Two-unit Standby System

• 1.3 Imperfect PM (Preventive Maintenance)

• 1.4 Discrete Weibull Distribution

• 1.5 Definition of Minimal Repair

• 1.6 Shock and Damage Model

• 1.7 Finite Interval

• 1.8 Replacement First, Last, Overtime and Middle

• 1.9 Random K-out-of-n System

• 1.10 Asymptotic Calculations

1.1 INTRODUCTION

I have mainly studied reliability and maintenance theory since 1971 with S. Osaki [1]. Looking back to the past half century, I think back to the memorial nine papers written with my colleagues together and by myself [2]. In this chapter, I introduce the selected nine theoretical topics which are deeply impressed on my mind, ...