Intro
Preface
Contents
1 Introduction
1.1 Importance of Reliability Engineering
1.2 Stochastic Models and Practical Applications
1.3 Two Problems of Inspection
1.4 Standard and Random Inspections
1.5 General Inspection
1.6 Inspection Model with Minimal Repair
1.7 Hierarchical Structure Reliability
1.8 Application Examples
1.9 Problems
References
2 Standard Inspection Models
2.1 Standard Inspection Policy
2.1.1 Asymptotic Inspection Times
2.2 Inspection for Finite Interval
2.2.1 Asymptotic Inspection Times

2.3 Inspection for Random Interval
2.4 Modified Inspection Models
2.4.1 Imperfect Inspection
2.4.2 Intermittent Fault
2.4.3 Inspection for Scale
2.5 Problems
References
3 Random Inspection Models
3.1 Periodic and Random Inspections
3.1.1 Sequential Inspection
3.1.2 Comparison of Periodic and Random Inspections
3.2 Random Inspection
3.3 Inspection First and Last
3.3.1 Inspection First
3.3.2 Inspection Last
3.3.3 Comparison of Inspection First and Last
3.4 Inspection Overtime
3.4.1 Comparisons of Periodic Inspection and Inspection Overtime

3.4.2 Comparisons of Inspection Overtime with First and Last
3.5 Problems
References
4 General Inspection Models
4.1 Inspection First and Last
4.1.1 Inspection First
4.1.2 Inspection Last
4.2 General Inspection Models
4.2.1 Inspection First
4.2.2 Inspection Last
4.3 Inspection Models with Three Variables
4.3.1 Inspection First, Last and Middle
4.3.2 Comparisons of Inspection First, Last and Middle
4.4 Modified Inspection Models
4.4.1 Modified Inspection First
4.4.2 Modified Inspection Last
4.4.3 Comparisons of Modified Inspection First and Last

4.5 Problems
References
5 Inspection Models with Minimal Repair
5.1 Inspection with Two Failures
5.1.1 Periodic Inspection
5.1.2 Sequential Inspection
5.2 Modified Inspection Model
5.2.1 Periodic Inspection
5.2.2 Sequential Inspection
5.3 Inspection for a Finite Interval
5.3.1 Standard Inspection
5.3.2 Modified Inspection Model
5.4 Problems
References
6 Hierarchical Structure Reliability
6.1 Basic System
6.1.1 n-Unit Parallel System
6.1.2 n-Unit Series System
6.1.3 k-Out-of-n System
6.2 Random K-Out-of-n System

6.2.1 Series-Parallel System
6.2.2 Parallel-Series System
6.2.3 Consecutive K-Out-of-5:F System
6.3 Comparison of Series-Parallel and Parallel-Series Systems
6.3.1 Reliability Properties
6.3.2 Replacement Time
6.3.3 Inspection Time
6.4 Problems
References
7 Application Examples of Storage System
7.1 Basic Inspection Model
7.2 Modified Inspection Model
7.3 Finite Number of Inspections
7.4 Degradation at Inspection
7.5 Problems
References
8 Application Examples of Phased Array Radar
8.1 Cost Model
8.1.1 Cyclic Maintenance