Reliability Engineering, 3rd Edition - Elsayed A. Elsayed

Reliability Engineering, 3rd Edition - Elsayed A. Elsayed Get a firm handle on the engineering reliability process with this insightful and complete resource Named one of the Best Industrial Management eBooks of All Time by BookAuthority As featured on CNN, Forbes and Inc – BookAuthority identifies and rates the best books in the world, based on recommendations by thought leaders and experts The newly and thoroughly revised 3rd Edition of Reliability Engineering delivers a comprehensive and insightful analysis of this crucial field. Accomplished author, professor, and engineer, Elsayed. A. Elsayed includes new examples and end-of-chapter problems to illustrate concepts, new chapters on resilience and the physics of failure, revised chapters on reliability and hazard functions, and more case studies illustrating the approaches and methodologies described within. The book combines analyses of system reliability estimation for time independent and time dependent models with the construction of the likelihood function and its use in estimating the parameters of failure time distribution. It concludes by addressing the physics of failures, mechanical reliability, and system resilience, along with an explanation of how to ensure reliability objectives by providing preventive and scheduled maintenance and warranty policies. This new edition of Reliability Engineering covers a wide range of topics, including:

• Reliability and hazard functions, like the Weibull Model, the Exponential Model, the Gamma Model, and the Log-Logistic Model, among others
• System reliability evaluations, including parallel-series, series-parallel, and mixed parallel systems
• The concepts of time- and failure-dependent reliability within both repairable and non-repairable systems
• Parametric reliability models, including types of censoring, and the Exponential, Weibull, Lognormal, Gamma, Extreme Value, Half-Logistic, and Rayleigh Distributions

Perfect for first-year graduate students in industrial and systems engineering, Reliability Engineering, 3rd Edition also belongs on the bookshelves of practicing professionals in research laboratories and defense industries. The book offers a practical and approachable treatment of a complex area, combining the most crucial foundational knowledge with necessary and advanced topics. TABLE OF CONTENTS Preface xi Prelude xv Chapter 1 Reliability and Hazard Functions 1 1.1 Introduction 1 1.2 Reliability Definition and Estimation 5 1.3 Hazard Functions 16 1.4 Multivariate Hazard Rate 57 1.5 Competing Risk Model and Mixture of Failure Rates 60 1.6 Discrete Probability Distributions 68 1.7 Mean Time to Failure 71 1.8 Mean Residual Life 74 1.9 Time of First Failure 76 Problems 79 References 91 Chapter 2 System Reliability Evaluation 95 2.1 Introduction 95 2.2 Reliability Block Diagrams 96 2.3 Series Systems 99 2.4 Parallel Systems 101 2.5 Parallel–Series, Series–Parallel, and Mixed-Parallel Systems 103 2.6 Consecutive-k-out-of-n:F System 113 2.7 Reliability of k-out-of-n Systems 121 2.8 Reliability of k-out-of-n Balanced Systems 123 2.9 Complex Reliability Systems 125 2.10 Special Networks 143 2.11 Multistate Models 144 2.12 Redundancy 150 2.13 Importance Measures of Components 154 2.14 Weighted Importance Measures of Components 165 Problems 167 References 182 Chapter 3 Time- and Failure-Dependent Reliability 185 3.1 Introduction 185 3.2 Nonrepairable Systems 185 3.3 Mean Time to Failure 194 3.4 Repairable Systems 204 3.5 Availability 215 3.6 Dependent Failures 223 3.7 Redundancy and Standby 228 Problems 238 References 247 Chapter 4 Estimation Methods of the Parameters 251 4.1 Introduction 251 4.2 Method of Moments 252 4.3 The Likelihood Function 260 4.4 Method of Least Squares 278 4.5 Bayesian Approach 284 4.6 Bootstrap Method 288 4.7 Generation of Failure Time Data 290 Problems 292 References 298 Chapter 5 Parametric Reliability Models 301 5.1 Introduction 301 5.2 Approach 1: Historical Data 302 5.3 Approach 2: Operational Life Testing 303 5.4 Approach 3: Burn-in Testing 303 5.5 Approach 4: Accelerated Life Testing 304 5.6 Types of Censoring 305 5.7 The Exponential Distribution 308 5.8 The Rayleigh Distribution 322 5.9 The Weibull Distribution 331 5.10 The Lognormal Distribution 343 5.11 The Gamma Distribution 350 5.12 The Extreme Value Distribution 357 5.13 The Half-Logistic Distribution 360 5.14 The Frechet Distribution 367 5.15 The Birnbaum–Saunders Distribution 369 5.16 Linear Models 372 5.17 Multicensored Data 374 Problems 378 References 389 Chapter 6 Accelerated Life Testing 393 6.1 Introduction 393 6.2 Types of Reliability Testing 394 6.3 Accelerated Life Testing 403 6.4 ALT Models 406 6.5 Statistics-Based Models: Nonparametric 420 6.6 Physics-Statistics-Based Models 437 6.7 Physics-Experimental-Based Models 446 6.8 Degradation Models 449 6.9 Statistical Degradation Models 453 6.10 Accelerated Life Testing Plans 459 Problems 463 References 476 Chapter 7 Physics of Failures 481 7.1 Introduction 481 7.2 Fault Tree Analysis 481 7.3 Failure Modes and Effects Analysis 488 7.4 Stress–Strength Relationship 490 7.5 PoF: Failure Time Models 492 7.6 PoF: Degradation Models 512 Problems 519 References 524 Chapter 8 System Resilience 527 8.1 Introduction 527 8.2 Resilience Overview 528 8.3 Multi-Hazard 528 8.4 Resilience Modeling 532 8.5 Resilience Definitions and Attributes 535 8.6 Resilience Quantification 536 8.7 Importance Measures 542 8.8 Cascading Failures 544 8.9 Cyber Networks 546 Problems 557 References 559 Chapter 9 Renewal Processes and Expected Number of Failures 563 9.1 Introduction 563 9.2 Parametric Renewal Function Estimation 564 9.3 Nonparametric Renewal Function Estimation 578 9.4 Alternating Renewal Process 588 9.5 Approximations of M(t) 591 9.6 Other Types of Renewal Processes 594 9.7 The Variance of the Number of Renewals 595 9.8 Confidence Intervals for the Renewal Function 601 9.9 Remaining Life at Time t 604 9.10 Poisson Processes 606 9.11 Laplace Transform and Random Variables 609 Problems 611 References 619 Chapter 10 Maintenance and Inspection 621 10.1 Introduction 621 10.2 Preventive Maintenance and Replacement Models: Cost Minimization 622 10.3 Preventive Maintenance and Replacement Models: Downtime Minimization 631 10.4 Minimal Repair Models 634 10.5 Optimum Replacement Intervals for Systems Subject to Shocks 639 10.6 Preventive Maintenance and Number of Spares 642 10.7 Group Maintenance 649 10.8 Periodic Inspection 653 10.9 Condition-Based Maintenance 663 10.10 On-Line Surveillance and Monitoring 665 Problems 669 References 676 Chapter 11 Warranty Models 679 11.1 Introduction 679 11.2 Warranty Models for Nonrepairable Products 681 11.3 Warranty Models for Repairable Products 701 11.4 Two-Dimensional Warranty 716 11.5 Warranty Claims 718 Problems 725 References 731 Chapter 12 Case Studies 733 12.1 Case 1: A Crane Spreader Subsystem 733 12.2 Case 2: Design of a Production Line 739 12.3 Case 3: An Explosive Detection System 746 12.4 Case 4: Reliability of Furnace Tubes 752 12.5 Case 5: Reliability of Smart Cards 757 12.6 Case 6: Life Distribution of Survivors of Qualification and Certification 760 12.7 Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control System 767 12.8 Case 8: System Design Using Reliability Objectives 776 12.9 Case 9: Reliability Modeling of Hydraulic Fracture Pumps 786 12.10 Case 10: Availability of Medical Information Technology System 791 12.11 Case 11: Producer and Consumer Risk in System of Systems 797 References 804 Appendices Appendix A Gamma Table 805 Appendix B Computer Program To Calculate the Reliability of a Consecutive-k-Out-of-n:F System 811 Appendix C Optimum Arrangement of Components In Consecutive-2-Out-of-N:F Systems 813 Appendix D Computer Program For Solving the Time-Dependent Equations 821 Appendix E The Newton–Raphson Method 823 Appendix F Coefficients of bi’s For i = 1, …, n 829 Appendix G Variance of θ∗2’s In Terms of θ22/n and K3/K∗2 843 Appendix H Computer Listing of the Newton–Raphson Method 849 Appendix I Coefficients (ai and bi) of the Best Estimates of the Mean (μ) and Standard Deviation (σ) In Censored Samples Up To n = 20 From a Normal Population 851 Appendix J Baker’s Algorithm 865 Appendix K Standard Normal Distribution 869 Appendix L Critical Values of χ2 875 Appendix M Solutions of Selected Problems 879 Author Index 887 Subject Index 895