Stochastic system reliability modeling:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore
World Scientific
1985
|
| Series: | Series in modern applied mathematics.
5. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 285 S. graph. Darst. |
| ISBN: | 9971978563 |
Staff View
MARC
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Record in the Search Index
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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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| discipline | Mathematik Wirtschaftswissenschaften |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:32Z |
| institution | BVB |
| isbn | 9971978563 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001342329 |
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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. |
| spelling | Osaki, Shunji Verfasser aut Stochastic system reliability modeling Singapore World Scientific 1985 XII, 285 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in modern applied mathematics. 5. Fiabilité - Modèles mathématiques Systèmes stochastiques Mathematisches Modell Reliability (Engineering) Mathematical models Stochastic systems Stochastisches System (DE-588)4057635-8 gnd rswk-swf Reliabilität (DE-588)4213628-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Reliabilität (DE-588)4213628-3 s Stochastisches System (DE-588)4057635-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Series in modern applied mathematics. 5. (DE-604)BV000017768 5. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001342329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| 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 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001342329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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