Stochastic system reliability modeling

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1. Verfasser: Osaki, Shunji (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Singapore World Scientific 1985
Schriftenreihe:Series in modern applied mathematics. 5.
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Datensatz im Suchindex

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adam_text xi CONTENTS Preface vii CHAPTER 1 PROBABILITY THEORY 1.1 Probability Theory 1 1.2 Random Variables and Probability Distributions ... 3 1.3 Joint Distributions and Limit Theorems 15 1.4. Lifetime Distributions in Reliability Theory 23 1.4.1 Continuous Distributions 23 1.4«2 Discrete Distributions 32 1.4 3 Classes of IFR (DFR) Distributions 34 1.5 Order Statistics 38 Bibliography and Comments 44 CHAPTER 2 STOCHASTIC PROCESSES 2.1 Stochastic Processes 47 2.2 Poisson Processes 49 2.3 Renewal Processes 62 2.4 Markov Chains 81 2.5 Markov Processes 91 Bibliography and Comments 105 CHAPTER 3 MARKOV RENEWAL PROCESSES 3 1 Introduction 107 3.2 Markov Renewal Functions 114 3.3 Stationary Probabilities 120 3. 4 Examples and Signal Flow Graphs 126 3.5 Markov Renewal Processes with Non Regeneration Points 143 Bibliography and Comments 155 xii CHAPTER 4. STOCHASTIC MODELS FOR OIE UHIT SYSTEMS 4.1 Introduction 158 4.2 Availability Theory 165 4.3 Replacement Models 172 4.3.1 Age Replacement Models 173 4.3.2 Block Replacement Models 179 4.4 Ordering Models 187 4.4.1 Model I 189 4.4.2 Model II 195 4.5 Inspection Policies 200 Bibliography and Comments 210 CHAPTER 5 STOCHASTIC MODELS FOR TWO UHIT REDTJHDAHT SYSTEMS 5.1 Introduction 213 5.2 Two Unit Parallel Redundant Systems 215 5.3 Two Unit Standby Redundant Systems 231 Bibliography and Comments 241 CHAPTER 6 STOCHASTIC MODELS FOR FAULT TOLERANT COMPUTING SYSTEMS 6.1 Introduction 243 6.2 Multi Processor Systems 247 6.3 Performance/Reliability Measures and Numerical Examples 256 Bibliography and Comments 267 APPENDIX A LAPLACE STIELTJES TRANSFORMS 269 APPENDIX B SIGNAL FLOW GRAPHS 275 INDEX 281
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author Osaki, Shunji
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language English
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physical XII, 285 S. graph. Darst.
publishDate 1985
publishDateSearch 1985
publishDateSort 1985
publisher World Scientific
record_format marc
series Series in modern applied mathematics.
series2 Series in modern applied mathematics.
spellingShingle Osaki, Shunji
Stochastic system reliability modeling
Series in modern applied mathematics.
Fiabilité - Modèles mathématiques
Systèmes stochastiques
Mathematisches Modell
Reliability (Engineering) Mathematical models
Stochastic systems
Stochastisches System (DE-588)4057635-8 gnd
Reliabilität (DE-588)4213628-3 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND (DE-588)4057635-8
(DE-588)4213628-3
(DE-588)4114528-8
title Stochastic system reliability modeling
title_auth Stochastic system reliability modeling
title_exact_search Stochastic system reliability modeling
title_full Stochastic system reliability modeling
title_fullStr Stochastic system reliability modeling
title_full_unstemmed Stochastic system reliability modeling
title_short Stochastic system reliability modeling
title_sort stochastic system reliability modeling
topic Fiabilité - Modèles mathématiques
Systèmes stochastiques
Mathematisches Modell
Reliability (Engineering) Mathematical models
Stochastic systems
Stochastisches System (DE-588)4057635-8 gnd
Reliabilität (DE-588)4213628-3 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet Fiabilité - Modèles mathématiques
Systèmes stochastiques
Mathematisches Modell
Reliability (Engineering) Mathematical models
Stochastic systems
Stochastisches System
Reliabilität
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volume_link (DE-604)BV000017768
work_keys_str_mv AT osakishunji stochasticsystemreliabilitymodeling