Applied stochastic system modeling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1992
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 269 S. graph. Darst. |
| ISBN: | 3540549277 0387549277 |
Internformat
MARC
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| 100 | 1 | |a Osaki, Shunji |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applied stochastic system modeling |c Shunji Osaki |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a IX, 269 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Processus stochastiques |2 ram | |
| 650 | 7 | |a Systèmes, analyse de |2 ram | |
| 650 | 4 | |a Stochastic processes | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface v
1 Probability Theory 1
1.1 Introduction 1
1.2 Sample Spaces and Events 1
1.3 Probabilities 5
1.4 Combinatorial Analysis 13
1.5 Problems 1 22
2 Random Variables and Distributions 25
2.1 Introduction 25
2.2 Random Variables and Distributions 28
2.3 Discrete Distributions 33
2.4 Continuous Distributions 40
2.5 Multivariate Distributions 48
2.6 Limit Theorems 56
2.7 Problems 2 60
3 Poisson Processes 63
3.1 Stochastic Processes 63
3.2 The Poisson Process 65
3.3 Interarrival Time Distributions 68
3.4 Conditional Waiting Time Distributions 71
3.5 Nonhomogeneous Poisson Processes 77
3.6 Problems 3 80
4 Renewal Processes 83
4.1 Introduction 83
4.2 Renewal Functions 84
4.3 Limit Theorems 91
4.4 Delayed and Stationary Renewal Processes 99
4.5 Problems 4 103
5 Discrete Time Markov Chains 105
5.1 Introduction 105
5.2 Chapman Kolmogorov Equation 107
viii Contents
5.3 State Classification 112
5.4 Limiting Probabilities 117
5.5 Finite State Markov Chains 123
5.6 Problems 5 129
6 Continuous Time Markov Chains 135
6.1 Introduction 135
6.2 Pure Birth Processes 136
6.3 Pure Death Processes 141
6.4 Birth and Death Processes 143
6.5 Finite State Markov Chains 155
6.6 Problems 6 161
7 Markov Renewal Processes 165
7.1 Introduction 165
7.2 Markov Renewal Processes 165
7.3 Stationary Probabilities 174
7.4 Alternating Renewal Processes 178
7.5 Problems 7 182
8 Reliability Models 185
8.1 Introduction 185
8.2 Lifetime Distributions and Failure Rates 186
8.3 Availability Theory 192
8.4 Replacement Models 200
8.4.1 Age Replacement Models 200
8.4.2 Block Replacement Models 203
8.5 Ordering Models 207
8.5.1 Model I 208
8.5.2 Model II 210
8.6 Problems 8 212
9 Queueing Models 215
9.1 Introduction 215
9.2 Single Server Queueing Models 221
9.2.1 M/M/l/oo Queueing Models 221
9.2.2 M/M/l/N Queueing Models 226
9.3 Multiple Server Queueing Models 228
9.3.1 M/M/c/oo Queueing Models 229
9.3.2 M/M/c/c Queueing Models 230
9.3.3 M/M/oo/oo Queueing Models 231
9.4 Queues with a Finite Population 233
9.4.1 M/M/l/K/K Queueing Models 233
9.4.2 M/M/c/K/K Queueing Models 235
9.4.3 M/M/c/c/c Queueing Models 237
9.5 Problems 9 239
Contents ix
A Laplace Stieltjes Transforms 241
A.I Laplace Stieltjes Transforms 241
A.2 Properties of Laplace Stieltjes Transforms 243
A.3 Applications to Distributions 245
A.4 Applications to Differential Equations 246
A.5 Applications to Renewal Functions 249
B Answers to Selected Problems 251
C The Bibliography 263
Index 265
|
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Wirtschaftswissenschaften |
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| id | DE-604.BV004674347 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:15:56Z |
| institution | BVB |
| isbn | 3540549277 0387549277 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002871336 |
| oclc_num | 24797029 |
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| physical | IX, 269 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
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| spelling | Osaki, Shunji Verfasser aut Applied stochastic system modeling Shunji Osaki Berlin u.a. Springer 1992 IX, 269 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Processus stochastiques ram Systèmes, analyse de ram Stochastic processes System analysis Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 s DE-604 Stochastischer Prozess (DE-588)4057630-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002871336&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Osaki, Shunji Applied stochastic system modeling Processus stochastiques ram Systèmes, analyse de ram Stochastic processes System analysis Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4057633-4 |
| title | Applied stochastic system modeling |
| title_auth | Applied stochastic system modeling |
| title_exact_search | Applied stochastic system modeling |
| title_full | Applied stochastic system modeling Shunji Osaki |
| title_fullStr | Applied stochastic system modeling Shunji Osaki |
| title_full_unstemmed | Applied stochastic system modeling Shunji Osaki |
| title_short | Applied stochastic system modeling |
| title_sort | applied stochastic system modeling |
| topic | Processus stochastiques ram Systèmes, analyse de ram Stochastic processes System analysis Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| topic_facet | Processus stochastiques Systèmes, analyse de Stochastic processes System analysis Stochastischer Prozess Stochastisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002871336&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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