14 7 Reliability Importance Metrics 7.1 Introduction 7.2 Critical Components 7.3 Birnbaum's Metric for Structural Importance 7.4 Birnbaum's Metric of Reliability Importance 7.5 Improvement Potential 7.6 Criticality Importance 7.7 Fussell–Vesely's Metric 7.8 Differential Importance Metric 7.9 Importance Metrics for Safety Features 7.10 Barlow–Proschan's Metric 7.11 Problems References
15 8 Dependent Failures 8.1 Introduction 8.2 Types of Dependence 8.3 Cascading Failures 8.4 Common‐Cause Failures 8.5 CCF Models and Analysis 8.6 Basic Parameter Model 8.7 Beta‐Factor Model 8.8 Multi‐parameter Models 8.9 Problems References
16 9 Maintenance and Maintenance Strategies 9.1 Introduction 9.2 Maintainability 9.3 Maintenance Categories 9.4 Maintenance Downtime 9.5 Reliability Centered Maintenance 9.6 Total Productive Maintenance 9.7 Problems References
17 10 Counting Processes 10.1 Introduction 10.2 Homogeneous Poisson Processes 10.3 Renewal Processes 10.4 Nonhomogeneous Poisson Processes 10.5 Imperfect Repair Processes 10.6 Model Selection 10.7 Problems References
18 11 Markov Analysis 11.1 Introduction 11.2 Markov Processes 11.3 Asymptotic Solution 11.4 Parallel and Series Structures 11.5 Mean Time to First System Failure 11.6 Systems with Dependent Components 11.7 Standby Systems 11.8 Markov Analysis in Fault Tree Analysis 11.9 Time‐Dependent Solution 11.10 Semi‐Markov Processes 11.11 Multiphase Markov Processes 11.12 Piecewise Deterministic Markov Processes 11.13 Simulation of a Markov Process 11.14 Problems References
19 12 Preventive Maintenance 12.1 Introduction 12.2 Terminology and Cost Function 12.3 Time‐Based Preventive Maintenance 12.4 Degradation Models 12.5 Condition‐Based Maintenance 12.6 Maintenance of Multi‐Item Systems 12.7 Problems References
20 Chapter 13: Reliability of Safety Systems