John Wiley & Sons Repairable Systems Reliability Analysis Cover Most of the reliability literature is directed towards non repairable systems, that is, systems that.. Product #: 978-1-119-52627-8 Regular price: $192.38 $192.38 Auf Lager

Repairable Systems Reliability Analysis

A Comprehensive Framework

Rai, Rajiv Nandan / Chaturvedi, Sanjay Kumar / Bolia, Nomesh

Performability Engineering Series

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1. Auflage November 2020
400 Seiten, Hardcover
Wiley & Sons Ltd

ISBN: 978-1-119-52627-8
John Wiley & Sons

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Most of the reliability literature is directed towards non repairable systems, that is, systems that fail are discarded. This book is mainly dedicated towards providing coverage to the reliability modeling and analysis of repairable systems that are repaired and not replaced when they fail. Most of the equipment - mechanical or otherwise -are repairable and are subjected to maintenance actions- reactive or proactive- at various levels. Maintenance actions are carried out either to preserve a system or to renovate it to a specified functionable state. Maintenance actions are also characterized by the degree (perfect or imperfect) to which a system can be restored, i.e., to an 'as good as new condition' (AGAN), or 'as bad as old condition' (ABAO). Mathematically perfect repair is modeled using a renewal process (RP). Since it represents much idealized situation, this model has restricted applications in the analysis of repairable systems. At the other extreme, the ABAO repair is mathematically modelled using a Non-Homogenous Poisson Process (NHPP). These assumptions are very unrealistic for probabilistic modeling and leads to major distortions in statistical analysis.

This unique book provides a comprehensive framework for the modeling and analysis of repairable systems considering both the non- parametric and parametric approaches to deal with the failure data. The book presents MCF based non-parametric approach with several illustrative examples and the generalized renewal process (GRP) based arithmetic reduction of age (ARA) models along with its applications to the systems failure data from aviation industry. The book also covers various multi-criteria decision-making (MCDM), integrated with repairable systems reliability analysis models to provide a much better insight into imperfect repair and maintenance data analysis. A complete chapter on an integrated framework for procurement process is added which will of a great assistance to the readers in enhancing the potential of their respective organization. This book also presents FMEA methods tailored for GRP based repairs.

This text has primarily emerged from the industrial experience and research work of the authors. A number of illustrations have been included to make the subject lucid and vivid even to the readers who are relatively new to this area. Besides, various examples have been provided to display the applicability of presented models and methodologies to assist the readers in applying the concepts presented in this book.

Series Editor Preface ix

Preface xi

List of Tables xv

List of Figures xix

1 Introduction to Repairable Systems 1

1.1 Introduction 1

1.2 Perfect, Minimal, and Imperfect Repairs 4

1.3 Summary 7

References 8

2 Repairable Systems Reliability Analysis: Non-Parametric 9

2.1 Introduction 9

2.2 Mean Cumulative Function 11

2.3 Construction of MCF Plot and Confidence Bounds: Exact Age Data 14

2.3.1 MCF Construction: Exact Age Data 14

2.3.2 Confidence Bounds on MCF: Exact Age Data 20

2.3.3 Construction of MCF Plot and Confidence Bounds: Grouped Data 22

2.3.4 Confidence Bounds on MCF: Grouped Data 22

2.4 Case Study: ROV System 23

2.5 Interval Age Analysis 27

2.5.1 MCF With All Types of Failure Modes Combined 27

2.5.2 MCF for Individual Failure Modes 33

2.5.3 Exact Age Analysis 33

2.6 Summary and Conclusion 40

References 41

3 Repairable Systems Reliability Analysis: Parametric 43

3.1 Introduction 43

3.2 Basic Terminologies 43

3.3 Parametric Analysis Approaches 46

3.3.1 Renewal Process 46

3.3.2 Non-Homogeneous Poisson Process (NHPP) 47

3.3.3 Generalized Renewal Process (GRP) 54

3.3.3.1 ARA Models 54

3.3.3.2 Kijima-I Model 56

3.3.3.3 Kijima-II Model 63

3.3.3.4 Virtual Age-Based Reliability Metrics 72

3.3.4 Summary 77

References 78

Further Reading 79

ARI Models 79

4 Goodness-of-Fit Tests for Repairable Systems 83

4.1 Introduction 83

4.2 Mann's Test for the Weibull Distribution 84

4.3 Laplace Trend Test 86

4.4 GOF Models for Power Law Process 87

4.4.1 Crow/AMSAA Test 87

4.4.2 Common Beta Hypothesis (CBH) Tests 88

4.4.3 CVM Test 90

4.5 GOF Model for GRP Based on Kijima-I Model 92

4.6 Summary 94

References 95

5 Maintenance Modeling in Repairable Systems 97

5.1 Introduction to Maintenance Policies Using Kijima Virtual Age Model 97

5.2 Need for HFRC Threshold 98

5.3 Reliability-Based Methodology for Optimal Maintenance Policies in MA 100

5.3.1 Reliability-Based Threshold Model for HFRC 100

5.3.1.1 Review of Present Maintenance Policy for HFRCs 102

5.4 Availability-Based HFRC Analysis 107

5.4.1 Availability-Based Criteria for HFRC (BB Approach) 107

5.4.1.1 Review of Overhaul Cycle (BB Approach) 109

5.4.2 Availability-Based HFRC Threshold Model Considering FMs 112

5.4.2.1 Maintenance Strategy for HFRCs With FM Approach 115

5.4.2.2 TBO Model Considering FMs 115

5.5 Summary 120

References 122

6 FMEA for Repairable Systems Based on Repair Effectiveness Index 125

6.1 Introduction 125

6.2 A Brief Overview on Performing FMEA 128

6.2.1 System Definition 129

6.2.2 Identification of Failure Modes 129

6.2.3 Determination of Cause 130

6.2.4 Assessment of Effect 130

6.2.5 Classification of Severity (S) 131

6.2.6 Estimation of Probability of Occurrence (O) 131

6.2.7 Detection 132

6.2.8 Computation of Conventional RPN 132

6.2.9 Determination of Corrective Action 132

6.3 Estimating RPNs Through the Modified Approach [15] 133

6.4 Corrective Actions 135

6.5 Summary 140

References 140

7 An Integrated Approach to Weapon Procurement Systems 143

7.1 Introduction 143

7.2 Analytic Network Process Model 147

7.3 AP Index and AP Value Estimation 151

7.3.1 Analytic Hierarchy Process Model 151

7.3.2 AP Index Estimation 151

7.3.3 Sample AP Index Estimation 152

7.3.4 AP Value Estimation 154

7.4 Formation of an ACU 160

7.4.1 Attack Model 160

7.4.2 Defense Model 161

7.4.3 Illustrative Example 162

7.5 Summary 164

References 166

8 Throughput Analysis of the Overhaul Line of a Repair Depot 169

8.1 Introduction 169

8.2 Basic Definitions, Parameters, and Relationships 173

8.3 Variability 174

8.3.1 Measures and Classes of Variability 174

8.3.2 Causes of Variability 175

8.3.3 Variability from Preemptive Outages (Breakdowns) 175

8.3.4 Variability in Flows 176

8.3.5 Variability Interactions Queuing 177

8.3.5.1 The M/M/1 Queue 177

8.3.5.2 The G/G/1 Queue 178

8.4 Process Batching 178

8.5 System Flow and Parameters 179

8.6 System Analysis and Discussion 181

8.6.1 Component 1: LPCR Blades 181

8.6.2 Component 2: CCOC 188

8.6.3 Component 3: LPTR Blades 190

8.7 Summary 192

References 193

Appendix A 195

The Saaty Rating Scale 195

Pairwise Comparisons and Estimation of Weights for ANP 196

Appendix B 257

Unweighted Super-Matrix (Part 1) 258

Unweighted Super-Matrix (Part 2) 265

Weighted Super-Matrix (Part 1) 273

Weighted Super-Matrix (Part 2) 280

Limit Super-Matrix (Part 1) 288

Limit Super-Matrix (Part 2) 295

Appendix C 303

Pairwise Comparisons and Estimation of Weights for AHP 304

Appendix D 339

F Distribution Table 339

Appendix E 347

Normal Distribution Table 347

Appendix F 353

Chi Square Table 353

Appendix G 363

Critical Values for Cramér-von Mises Test 363

Index 365
Rajiv Nandan Rai is an assistant professor at Subir Chowdhury School of Quality and Reliability, Indian Institute of Technology Kharagpur, West Bengal, India. He obtained his PhD in Mechanical Engineering with specialization in Reliability, Maintenance and Industrial Engineering from IIT Delhi, India. He has hands on industrial experience of almost 23 years in military aviation in which he has worked at all levels of maintenance, repair and overhaul of aircraft, aero engines and their components. He has published papers in several SCI journals.

S. K. Chaturvedi is a professor and currently Head at Subir Chowdhury School of Quality and Reliability, Indian Institute of Technology Kharagpur, West Bengal, India. He has research interest in the areas of reliability modeling and analysis, network reliability, life-data analysis, maintenance and optimization. He has published papers in several international journals, is reviewer to and executed several consultancy projects of private and Govt. organizations. He's written two books He's on the editorial board of Int. J. International Journal of Reliability and Safety (IJRS), Int. J of Mathematical, Engineering and Management Sciences (IJMEMS). He's also a senior member to IEEE and has also served as Co-Editor-in-Chief to International Journal of Performability Engineering.

Nomesh Bolia received the PhD degree in operations research from the University of North Carolina at Chapel Hill, Chapel Hill, NC, USA. He is currently a professor in the Department of Mechanical Engineering, Indian Institute of Technology Delhi, India. His research interests include operations research and its applications to reliability, health, telecommunications, transportation and public systems. Dr. Bolia received the prestigious Indo-US Fellowship for Public Health Research and has published in several journals including IEEE Transactions.