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" Binary decision diagrams and extensions for system reliability analysis / "
Liudong Xing, Suprasad V. Amari
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BL
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| Record Number
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661849
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dltt
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| Main Entry
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Xing, Liudong.
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| Title & Author
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Binary decision diagrams and extensions for system reliability analysis /\ Liudong Xing, Suprasad V. Amari
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| Series Statement
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Performability engineering series
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| Page. NO
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1 online resource
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| ISBN
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9781119178019 (pdf)
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: 1119178010 (pdf)
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: 9781119178002 (epub)
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: 1119178002 (epub)
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9781118549377 (hardback)
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: 9781119178026
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: 1119178029
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: 1118549376
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: 9781118549377
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| Notes
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Machine generated contents note: Preface xiii Nomenclature xix 1 Introduction 1 1.1 Historical Developments 1 1.2 Reliability and Safety Applications 4 2 Basic Reliability Theory and Models 7 2.1 Probabiltiy Concepts 7 2.2 Reliability Measures 14 2.3 Fault Tree Analysis 17 3 Fundamentals of Binary Decision Diagrams 33 3.1 Preliminaries 34 3.2 Basic Concepts 34 3.3 BDD Construction 35 3.4 BDD Evaluation 42 3.5 BDD-Based Software Package 44 4 Application of BDD to Binary-State Systems 45 4.1 Network Reliability Analysis 45 4.2 Event Tree Analysis 47 4.3 Failure Frequency Analysis 50 4.4 Importance Measures and Analysis 54 4.5 Modularization Methods 60 4.6 Non-Coherent Systems 60 4.7 Disjoint Failures 65 4.8 Dependent Failures 68 5 Phased-Mission Systems 73 5.1 System Description 74 5.2 Rules of Phase Algebra 75 5.3 BDD-Based Method for PMS Analysis 76 5.4 Mission Performance Analysis 81 6 Multi-State Systems 85 6.1 Assumptions 86 6.2 An Illustrative Example 86 6.3 MSS Representation 87 6.4 Multi-State BDD (MBDD) 90 6.5 Logarithmically-Encoded BDD (LBDD) 94 6.6 Multi-State Multi-Valued Decision Diagrams (MMDD) 98 6.7 Performance Evaluation and Benchmarks 102 6.8 Summary 117 7 Fault Tolerant Systems and Coverage Models 119 7.1 Basic Types 120 7.2 Imperfect Coverage Model 122 7.3 Applications to Binary-State Systems 123 7.4 Applications to Multi-State Systems 129 7.5 Applications to Phased-Mission Systems 133 7.6 Summary 139 8 Shared Decision Diagrams 143 8.1 Multi-Rooted Decision Diagrams 144 8.2 Multi-Terminal Decision Diagrams 148 8.3 Performance Study on Multi-State Systems 151 8.4 Application to Phased-Mission Systems 163 8.5 Application to Multi-State k-out-of-n Systems 168 8.6 Importance Measures 176 8.7 Failure Frequency Based Measures 180 8.8 Summary 183 Conclusions 185 References 187 Index 205
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Includes bibliographical references and index
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| Contents
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Introduction -- Historical Developments -- Reliability and Safety Applications -- Basic Reliability Theory and Models -- Probabiltiy Concepts -- Axioms of Probability -- Total Probability Law -- Random Variables -- Parameters of Random Variables -- Lifetime Distributions -- Reliability Measures -- Time-to-Failure and Failure Function -- Reliability Function -- Failure Rate Function -- Mean Time to Failure -- Mean Residual Life -- Fault Tree Analysis -- Overview -- Fault Tree Construction -- Different Forms of Fault Trees -- Static Fault Trees -- Dynamic Fault Trees (DFTs) -- Noncoherent Fault Trees -- Types of Fault Tree Analysis -- Qualitative Analysis -- Quantitative Analysis -- Fault Tree Analysis Techniques -- Inclusion-Exclusion (I-E) -- Sum of Disjoint Products (SDPs) -- Fundamentals of Binary Decision Diagrams -- Preliminaries -- Basic Concepts -- BDD Construction -- Input Variable Ordering -- OBDD Generation -- ROBDD Generation -- Example Illustrations -- BDD Evaluation -- BDD-Based Software Package -- Application of BDD to Binary-State Systems -- Network Reliability Analysis -- Event Tree Analysis -- Failure Frequency Analysis -- Steady-State System Failure Frequency -- Time-Dependent System Failure and Success Frequencies -- Importance Measures and Analysis -- Deterministic Importance Measures -- Probabilistic Importance Measures -- Birnbaums Measure -- Criticality Importance Factor -- Fussell-Vesely Measure -- Modularization Methods -- Non-Coherent Systems -- Prime Implicants Based Method -- BDD Based Method -- Disjoint Failures -- Dependent Failures -- Common-Cause Failures (CCFs) -- Functional Dependent Failures -- Phased-Mission Systems -- System Description -- Rules of Phase Algebra -- BDD-Based Method for PMS Analysis -- Input Variable Ordering -- Single-Phase BDD Generation -- PMS BDD Generation -- PMS BDD Evaluation -- Mission Performance Analysis -- Multi-State Systems -- Assumptions -- An Illustrative Example -- MSS Representation -- MSS Representation Using MFT -- MSS Representation Using MRBD -- Equivalency of MRBD and MFT Representations -- Multi-State BDD (MBDD) -- Step 1 - State Variable Encoding -- Step 2 - Generating MBDD from MFT -- Step 3 - MBDD Evaluation -- Example Illustration -- Logarithmically-Encoded BDD (LBDD) -- Step 1 - Variable Encoding -- Step 2 - Generating LBDD from MFT -- Step 3 - LBDD Evaluation -- Example illustration -- Multi-State Multi-Valued Decision Diagrams (MMDD) -- Step 1 - Variable Encoding -- Step 2 - Generating MMDD from MFT -- Step 3 - MMDD Evaluation -- Example Illustration -- Performance Evaluation and Benchmarks -- Example Analyses -- Benchmark Studies -- Performance Comparison and Discussions -- Comparing Model Size -- Comparing Runtime Complexity of Model Construction -- Comparing Runtime Complexity of Model Evaluation -- Summary -- Fault Tolerant Systems and Coverage Models -- Basic Types -- Imperfect Coverage Model -- Applications to Binary-State Systems -- BDD Expansion Method -- Simple and Efficient Algorithm -- Applications to Multi-State Systems -- Applications to Phased-Mission Systems -- Mini-Component Concept -- Extended SEA Method for PMS -- An Illustrative Example -- Summary -- Shared Decision Diagrams -- Multi-Rooted Decision Diagrams -- Multi-Terminal Decision Diagrams -- Performance Study on Multi-State Systems -- Example Analyses -- Benchmark Studies -- Application to Phased-Mission Systems -- PMS Analysis Using MDDs -- Step 1-Variable Encoding -- Step 2-Input Variable Ordering -- Step 3-PMS MDD Generation -- Step 4-PMS MDD Evaluation -- An Illustrative Example -- Application to Multi-State k-out-of-n Systems -- Multi-State k-out-of-n System Analysis Using MDDs -- Step 1- BDD<sub>kl</sub> Generation -- Step 2- MDD<sub>kl</sub> Generation -- Step 3- MDD<sub>sj</sub> Generation -- Step 4- System MDD<sub>sj</sub> Evaluation -- An Illustrative Example -- Importance Measures -- Capacity Networks and Reliability Modeling -- Composite Importance Measures (Type 1) -- General CIMs -- Alternative CIMs -- Computing CIMs Using MDD -- An Illustrative Example -- Failure Frequency Based Measures -- Summary
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| Abstract
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"Recent advances in science and technology have made modern computing and engineering systems more powerful and sophisticated than ever. The increasing complexity and scale imply that system reliability problems not only continue to be a challenge but also require more efficient models and solutions. This is the first book systematically covering the state-of-the-art binary decision diagrams and their extended models, which can provide efficient and exact solutions to reliability analysis of large and complex systems. The book provides both basic concepts and detailed algorithms for modelling and evaluating reliability of a wide range of complex systems, such as multi-state systems, phased-mission systems, fault-tolerant systems with imperfect fault coverage, systems with common-cause failures, systems with disjoint failures, and systems with functional dependent failures. These types of systems abound in safety-critical or mission-critical applications such as aerospace, circuits, power systems, medical systems, telecommunication systems, transmission systems, traffic light systems, data storage systems, and etc. The book provides both small-scale illustrative examples and large-scale benchmark examples to demonstrate broad applications and advantages of different decision diagrams based methods for complex system reliability analysis. Other measures including component importance and failure frequency are also covered. A rich set of references is cited in the book, providing helpful resources for readers to pursue further research and study of the topics. The target audience of the book is reliability and safety engineers or researchers. The book can serve as a textbook on system reliability analysis. It can also serve as a tutorial and reference book on decision diagrams, multi-state systems, phased-mission systems, and imperfect fault coverage models. "--
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| Subject
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Reliability (Engineering)-- Graphic methods.
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System analysis-- Graphic methods.
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Decision trees.
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| Dewey Classification
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620/.00452
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| LC Classification
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TA169
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| Added Entry
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Amari, Suprasad V.
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Ohio Library and Information Network.
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