Queueing networks and product forms: a systems approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1993
|
| Series: | Wiley-Interscience series in systems and optimization
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 270 S. graph. Darst. |
| ISBN: | 0471928488 |
Staff View
MARC
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| 245 | 1 | 0 | |a Queueing networks and product forms |b a systems approach |c Nico M. van Dijk |
| 264 | 1 | |a Chichester u.a. |b Wiley |c 1993 | |
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Record in the Search Index
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| adam_text | Contents
Preface xi
0 Practical motivation 1
0.1 Introduction 1
0.2 Manufacturing systems 2
0.3 Computer networks 5
0.4 Telecommunications 9
0.5 Broadcasting 13
References 16
1 An introduction to partial balance principles 18
1.1 The principle of partial balance: a cash balance example 18
1.2 A hierarchy of partial balances for queueing networks
and queues 26
1.3 Summary 27
Exercises 27
2 Some fundamental tools 29
2.1 Exponentiality 29
2.2 Global balance 34
2.3 Partial versus global balance 38
2.4 Reversibility and the Kolmogorov criterion 39
2.5 Discrete renewal result, source balance and insensitivity 42
2.6 Summary 51
Exercises 52
3 Station balance: a practiqal approach 58
3.1 Erlang and Engset systems 58
3.2 A two stage tandem line 62
3.3 Cyclic systems 65
3.4 Jackson networks 68
3.5 Blocking: an example and simple key results 74
3.6 Blocking: a counter example 77
3.7 Summary 83
Exercises 84
vii
viii CONTENTS
4 Simple product form bounds for non product form systems 89
4.1 Introduction 89
4.2 Outline of methodology 90
4.3 Systems with breakdowns 93
4.4 Overflow systems 100
4.5 Finite assembly line 104
4.6 Usefulness and extensions 109
4.7 An optimal design application 114
4.8 Real bounds: a counter intuitive example 114
4.9 Summary H6
Exercises 117
5 Station balance: a more formal approach 122
5.1 Introduction 122
5.2 An example I24
5.3 A general model 131
5.4 Product form results 136
5.5 Product form examples 146
5.6 Exponential stop = reservice 160
5.7 Summary 164
Exercises 165
6 Station and cluster balance for networks with limited clusters 170
6.1 Introduction 170
6.2 A cluster extension of the Engset loss example 172
6.3 A cluster extension of the cyclic blocking example 176
6.4 Limited clusters 182
6.5 Applications 184
6.6 Stop = recirculate 200
6.7 Summary 206
Exercises 207
7 Communications networks 210
7.1 Introduction 210
7.2 An example 212
7.3 General model 216
7.4 Examples 224
7.5 Source balance and insensitivity 236
7.6 Stop = retransmit 241
7.7 Summary 243
Exercises 244
CONTENTS ix
Notation 246
Literature background by chapter 251
Bibliography 258
Index 265
|
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.8/2 |
| dewey-search | 519.8/2 |
| dewey-sort | 3519.8 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik Wirtschaftswissenschaften |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:28:58Z |
| institution | BVB |
| isbn | 0471928488 |
| language | English |
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| physical | XIX, 270 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley-Interscience series in systems and optimization |
| spelling | Dijk, Nicolaas M. van Verfasser aut Queueing networks and product forms a systems approach Nico M. van Dijk Chichester u.a. Wiley 1993 XIX, 270 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley-Interscience series in systems and optimization Computernetwerken gtt Files d'attente, Théorie des Systeemtheorie gtt Wachttijdproblemen gtt Queuing theory Warteschlangennetz (DE-588)4225823-6 gnd rswk-swf Produktformel (DE-588)4175790-7 gnd rswk-swf Warteschlange (DE-588)4189150-8 gnd rswk-swf Rechnernetz (DE-588)4070085-9 gnd rswk-swf Leistungsbewertung (DE-588)4167271-9 gnd rswk-swf Produktformel (DE-588)4175790-7 s DE-604 Rechnernetz (DE-588)4070085-9 s Warteschlange (DE-588)4189150-8 s Warteschlangennetz (DE-588)4225823-6 s Leistungsbewertung (DE-588)4167271-9 s DE-188 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005976880&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dijk, Nicolaas M. van Queueing networks and product forms a systems approach Computernetwerken gtt Files d'attente, Théorie des Systeemtheorie gtt Wachttijdproblemen gtt Queuing theory Warteschlangennetz (DE-588)4225823-6 gnd Produktformel (DE-588)4175790-7 gnd Warteschlange (DE-588)4189150-8 gnd Rechnernetz (DE-588)4070085-9 gnd Leistungsbewertung (DE-588)4167271-9 gnd |
| subject_GND | (DE-588)4225823-6 (DE-588)4175790-7 (DE-588)4189150-8 (DE-588)4070085-9 (DE-588)4167271-9 |
| title | Queueing networks and product forms a systems approach |
| title_auth | Queueing networks and product forms a systems approach |
| title_exact_search | Queueing networks and product forms a systems approach |
| title_full | Queueing networks and product forms a systems approach Nico M. van Dijk |
| title_fullStr | Queueing networks and product forms a systems approach Nico M. van Dijk |
| title_full_unstemmed | Queueing networks and product forms a systems approach Nico M. van Dijk |
| title_short | Queueing networks and product forms |
| title_sort | queueing networks and product forms a systems approach |
| title_sub | a systems approach |
| topic | Computernetwerken gtt Files d'attente, Théorie des Systeemtheorie gtt Wachttijdproblemen gtt Queuing theory Warteschlangennetz (DE-588)4225823-6 gnd Produktformel (DE-588)4175790-7 gnd Warteschlange (DE-588)4189150-8 gnd Rechnernetz (DE-588)4070085-9 gnd Leistungsbewertung (DE-588)4167271-9 gnd |
| topic_facet | Computernetwerken Files d'attente, Théorie des Systeemtheorie Wachttijdproblemen Queuing theory Warteschlangennetz Produktformel Warteschlange Rechnernetz Leistungsbewertung |
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