This booksurveys recent applications of inspection models, maintenance models and cumulative damage models, as well as discusses the policies involved with these models. It explains how a stochastic approach can be applied to systems using real-world examples.
The book begins by introducing and summarizing standard inspection models. It dedicates chapters to random inspection models and general inspection models, before moving on to discuss inspection policies and checkpoint models. The book discusses inspection of reliability systems, such as missile maintenance systems, as well as Markov models of inspection. The book concludes with a summary of other inspection models, problems they face, and solutions to these problems. Each chapter utilizes examples to illustrate the various models, methods, and policies.
This book is of interest to engineering students, researchers, and design and production engineers working in system manufacturing.
Author(s): Kodo Ito, Toshio Nakagawa
Series: Springer Series in Reliability Engineering
Publisher: Springer
Year: 2023
Language: English
Pages: 265
City: Cham
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
8.1.2 Delayed Maintenance
8.2 Availability Model
8.2.1 Cyclic Maintenance
8.2.2 Delayed Maintenance
8.2.3 Combined Cyclic and Delayed Maintenances
8.3 Problems
References
9 Application Examples of Power Generator
9.1 Self-Diagnosis Policy for Gas Turbine FADEC
9.1.1 Standard FADEC System
9.2 Maintenance of Power Generator
9.2.1 Shock Model with Damage Level
9.2.2 Two Modified Schock Models
9.2.3 Shock Model with Multi-echelon Risks
9.3 Problems
References
10 Application Examples of Airframe
10.1 Optimal Multi-echelon Maintenance of Aircraft
10.1.1 Multi-echelon Maintenance with Hazard Rates
10.1.2 Operation Policy for Commercial Aircraft
10.2 Airframe Maintenance with Crack Growth
10.2.1 Airframe Cracks (1)
10.2.2 Airframe Cracks (2)
10.3 Commercial Airframe with Damage and Crack
10.3.1 Damage Level and Crack Number
10.3.2 Multiple Damage Levels and Crack Number
10.4 Problems
A.1 H(t)/t Increases Strictly with t to h(infty)
A.2 L3(n,x) Increases Strictly with x to infty
A.3 QK(N) Increases Strictly with N from exp(-wK) to 1
A.4 QKM(N) Increases Strictly with N to 1
A.5 Qf(N) Increases Strictly with N to 1-exp(-λ)
References
Appendix Answers to Selected Problems
