Fundamentals of Reliability Engineering

Indra Gunawan, PhD, is a Senior Lecturer and Coordinator of Postgraduate Programs in Maintenance and Reliability Engineering in the School of Applied Sciences and Engineering at the Federation University, Australia. He completed his PhD degree in industrial engineering from Northeastern University, USA. Prior to joining Monash University, he served as a faculty member in the Department of Mechanical and Manufacturing Engineering at Auckland University of Technology, New Zealand. His main areas of research are maintenance and reliability engineering, project management, application of operations research, operations management, applied statistics, probability modeling, and engineering systems design. His work has appeared in many peer-reviewed journals and conference proceedings.

• Preface ix1 Introduction to Reliability Engineering 11.1 The Logic of Certainty 11.2 Union (OR) operation 21.3 Intersection (AND) operation 31.4 Series systems 41.5 Parallel systems 51.6 General Series-Parallel System 61.7 Active Redundancy 61.8 Standby Redundancy 71.9 Fault Tree Analysis 71.10 Minimum Cut Sets and Path Sets 9References 102 Elements of Probability Theory 112.1 Basic Rules of Probability 112.2 Cumulative Distribution Function 122.3 Probability Mass Function 122.4 Probability Density Function 122.5 Moments 132.6 Percentiles 13References 143 Probability Distributions 153.1 Binomial 163.2 Poisson 173.3 Exponential 183.4 Weibull 193.5 Normal 193.6 Lognormal 203.7 Mean Time To Failure (MTTF) 22References 234 Availability 254.1 Definition 254.2 Summary 274.3 Availability of Systems with Repair 28References 295 Data Analysis 315.1 Theoretical Model and Evidence 315.2 Censored Samples 325.3 Bayesian Theorem 33References 356 Introduction to Network Systems 376.1 Parallel Computing and Networks 386.2 Network Design Considerations 41 6.3 Classification of Interconnection Networks 45References 567 Classification of Multistage Interconnection Networks 577.1 Background 577.2 Multistage Cube Network 677.3 Extra-Stage Cube Network 707.4 Shuffle-Exchange Network 727.5 Shuffle-Exchange Network with an Additional Stage 737.6 Gamma Network 757.7 Extra-Stage Gamma Network 777.8 Dynamic Redundancy Network 787.9 Improved Enhanced Augmented Data Manipulator Network 797.10 Improved Logical Neighborhood Network 807.11 Comparison 81References 848 Network Reliability Evaluation Methods 878.1 Overview of Network Reliability 878.2 Network Model 888.3 Network Operations 898.4 Approaches for Calculating Network Reliability 898.5 Summary 99References 1009 Reliability Analysis of Multistage Interconnection Networks 1019.1 Reliability Analysis of Shuffle-Exchange Network with Minimal Extra Stages 1019.2 Terminal Reliability Improvement in Modified Shuffle-Exchange Network 1159.3 Reliability Bounds for Large MINs 121References 13210 Terminal Reliability Assessment of Gamma and Extra-Stage Gamma Networks 13310.1 Introduction 13310.2 Gamma Network 13510.3 Terminal Reliability of Gamma Network 13910.4 Extra-Stage Gamma Network 14010.5 Comparison 14610.6 Conclusions 146References 14711 Reliability Prediction of Distributed Systems Using Monte Carlo Method 14911.1 Introduction 14911.2 Reliability Parameters 15211.3 Monte Carlo Method 15311.4 Confidence Interval for Monte Carlo Point Estimate 15511.5 Numerical Results 15711.6 Conclusion 163References 164Index 167

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