# Reliability Theory

## With Applications to Preventive Maintenance

• Ilya Gertsbakh
Textbook

1. Front Matter
Pages i-xii
2. Ilya Gertsbakh
Pages 1-15
3. Ilya Gertsbakh
Pages 17-40
4. Ilya Gertsbakh
Pages 41-66
5. Ilya Gertsbakh
Pages 67-106
6. Ilya Gertsbakh
Pages 107-137
7. Ilya Gertsbakh
Pages 139-150
8. Ilya Gertsbakh
Pages 151-160
9. Back Matter
Pages 161-219

### Introduction

The material in this book was first presented as a one-semester course in Relia­ bility Theory and Preventive Maintenance for M.Sc. students of the Industrial Engineering Department of Ben Gurion University in the 1997/98 and 1998/99 academic years. Engineering students are mainly interested in the applied part of this theory. The value of preventive maintenance theory lies in the possibility of its imple­ mentation, which crucially depends on how we handle statistical reliability data. The very nature of the object of reliability theory - system lifetime - makes it extremely difficult to collect large amounts of data. The data available are usu­ ally incomplete, e.g. heavily censored. Thus, the desire to make the course material more applicable led me to include in the course topics such as mod­ eling system lifetime distributions (Chaps. 1,2) and the maximum likelihood techniques for lifetime data processing (Chap. 3). A course in the theory of statistics is aprerequisite for these lectures. Stan­ dard courses usually pay very little attention to the techniques needed for our purpose. A short summary of them is given in Chap. 3, including widely used probability plotting. Chapter 4 describes the most useful and popular models of preventive main­ tenance and replacement. Some practical aspects of applying these models are addressed, such as treating uncertainty in the data, the role of data contamina­ tion and the opportunistic scheduling of maintenance activities.

### Keywords

Mathematica Poisson process Variance maintenance quality reliability statistics uncertainty

#### Authors and affiliations

• Ilya Gertsbakh
• 1
1. 1.Department of MathematicsBen Gurion UniversityBeershevaIsrael

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-662-04236-6
• Copyright Information Springer-Verlag Berlin Heidelberg 2000
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Print ISBN 978-3-642-08665-6
• Online ISBN 978-3-662-04236-6
• Buy this book on publisher's site