Optimal Inspection Models with Their Applications

ISBN-13: 9783031220203 / Angielski / Twarda / 2023 / 261 str.

Kodo Ito; Toshio Nakagawa

Opis

This book surveys 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.

Spis treści

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 Rebiability 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 

References 

10.A Appendix 

A Answer to Selected Problems 

O autorze

Kodo Ito received B.S. and M.S. degrees in Physics from Yamagata University, Japan, in 1983 and 1985, respectively, and D.E. degree from Aichi Institute of Technology, Japan, in 1999. He worked as Aircraft Engineer with Mitsubishi Heavy Industries, Ltd., Nagoya, Japan, for 32 years from 1985 to 2017. He is now Professor at Tottori University, Japan, and Visiting Professor at Fukushima University, Japan. His research interests are practical optimal operation and maintenance policies for large and complicated systems such as missile systems, radar systems, aircraft engine controllers, airframes, power plants, and social infrastructures.

 

Toshio Nakagawa received B.S.E. and M.S. degrees from Nagoya Institute of Technology, Japan, in 1965 and 1967, respectively, and Doctor degree from Kyoto University, Japan, in 1977. He worked as Research Associate at Syracuse University for two years from 1972 to 1973. He is now Honorary Professor at Aichi Institute of Technology, Japan. His research interests are optimization problems in operations research and management science and analysis for stochastic and computer systems in reliability and maintenance theory. He has published 7 books from Springer and more than 300 papers in research journals.