Contents

* 1. Introduction. 1.1. Lifetime Models. 1.2. Maintenance. 1.3. Reliability Modeling
* 2. Basic Reliability Theory. 2.1. Complex Systems. 2.2. Basic Notions of Aging
* 3. Stochastic Failure Models. 3.1. Notation and Fundamentals. 3.2. A General Lifetime Model. 3.3. Point Processes in Reliability - Failure Time and Repair Models
* 4. Availability Analysis of Complex Systems. 4.1. Performance Measures. 4.2. One-Component Systems. 4.3. Point Availability and Mean Number of System Failures. 4.4. Distribution of the Number of System Failures. 4.5. Downtime Distribution Given System Failure. 4.6. Distribution of the System Downtime in an Interval. 4.7. Generalizations and Related Models
* 5. Maintenance Optimization. 5.1. Basic Replacement Models. 5.2. A General Replacement Model. 5.3. Applications. 5.4. Repair Replacement Models
* A. Background in Probability and Stochastic Processes
* B. Renewal Processes.