Ilya Gertsbakh 
Reliability Theory [PDF ebook] 
With Applications to Preventive Maintenance

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.