This textbook on Reliability Theory focusses on Applications in Preventive Maintenance (PM). All models are presented in connection with the relevant statistical material. The book is almost self-contained, the reader needs not more than basic knowledge of calculus, probability and statistics. Each chapter is concluded by a series of exercises with detailed solutions. Numerical solutions are elaborated with Mathematica software. Topics discussed are PM with learning, choice of the best time-scale for PM, handling multidimensional state description, dealing with uncertainty in data. The book is appropriate for graduate students, researchers and engineers specializing in Quality Control, Logistics, Reliability and Maintenance Engineering.
System Reliability as a Function of Component Reliability | Parametric Lifetime Distributions | Statistical inference from Incomplete Data | Statistical Inference from Incomplete Data | Preventive Maintenance Models Based on the Lifetime Distribution | Preventive Maintenance Based on Parameter Control | Best Time Scale for Age Replacement | Preventive Maintenance with Learning | Solutions to Exercises | Appendix A: Nonhomogeneous Poisson Process | 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 | Index