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.

1 System Reliability as a Function of Component Reliability.- 2 Parametric Lifetime Distributions.- 3 Statistical Inference from Incomplete Data.- 4 Preventive Maintenance Models Based on the Lifetime Distribution.- 5 Preventive Maintenance Based on Parameter Control.- 6 Best Time Scale for Age Replacement.- 7 Preventive Maintenance with Learning.- Solutions to Exercises.- Appendix A: Nonhomogeneous Poisson Process.- A.1 Definition and Basic Properties.- A.2 Parametric estimation of the intensity function.- Appendix B: Covariances and Means of Order Statistics.- Appendix C: The Laplace Transform.- Appendix D: Probability Paper.- Appendix E: Renewal Function.- References.- Glossary of Notation.