Stochastic petri nets: an introduction to the theory
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Braunschweig ; Wiesbaden
Vieweg
2002
|
| Edition: | 2. ed. |
| Series: | Vieweg advanced studies in computer science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 218 S. graph. Darst. : 21 cm |
| ISBN: | 3528155353 |
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Record in the Search Index
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| adam_text |
Titel: Stochastic Petri nets
Autor: Bause, Falko
Jahr: 2002
9
Contents
Preface 5
Preface to the Second Edition 7
Contents 9
I STOCHASTIC THEORY 11
1 Random Variables 13
1.1 Probability Theory Refresher.13
1.2 Discrete Random Variables.16
1.3 Continuous Random Variables.18
1.4 Moments of a Random Variable.19
1.5 Joint Distributions of Random Variables.20
1.6 Stochastic Processes.21
2 Markov Processes 23
2.1 Discrete Time Markov Chains.25
2.1.1 Steady State Distribution.31
2.1.2 Absorbing Chains and Transient Behaviour.35
2.2 Semi-Markov Processes.41
2.2.1 Formal Model of a Semi-Markov Process.41
2.2.2 Interval Transition Probabilities .43
2.2.3 Steady State Behaviour.45
2.3 Continuous Time Markov Chains.47
2.3.1 Steady State Distribution.52
2.4 Embedded Markov Chains.54
3 General Queueing Systems 56
3.1 Little's Law.59
3.2 Birth-Death Processes.62
3.3 Poisson Process.64
3.4 M/M/l Queue.66
3.5 M/M/m Queue.6®
3.6 Queues with Processor Sharing Scheduling Strategy.70
3.7 Queues with Infinite Servers.71
3.8 Queues with Priority Service.71
4 Further Reading ^
10
Contents
II PETRI NETS 75
5 Place-Transition Nets 77
5.1 Structure of Place-Transition Nets.81
5.2 Dynamic Behaviour of Place-Transition Nets.84
5.3 Properties of Place-Transition Nets.86
5.4 Analysis of Place-Transition Nets.90
5.4.1 Analysis of the Reachability Set .90
5.4.2 Invariant Analysis.95
5.4.3 Analysis of Net Classes .101
Analysis of State Machines.102
Analysis of Marked Graphs.104
Analysis of EFC-nets.106
5.4.4 Reduction and Synthesis Analysis .110
5.5 Further Remarks on Petri Nets.113
6 Coloured Petri Nets ll7
7 Further Reading 126
III TIME-AUGMENTED PETRI NETS 129
8 Stochastic Petri Nets 133
9 Generalized Stochastic Petri Nets 141
9.1 Quantitative Analysis of GSPNs.143
9.2 Qualitative Analysis of GSPNs.150
9.2.1 Qualitative Analysis of EFC-GSPNs.156
9.3 Further Remarks on GSPNs.160
10 Queueing Petri Nets 164
10.1 Quantitative Analysis of QPNs.166
10.2 Qualitative Analysis of QPNs.171
10.2.1 Qualitative Analysis of EFC-QPNs.172
10.3 Some Remarks on Quantitative Analysis.176
11 Further Reading 17g
12 Application Examples . . Igl
12.1 Resource Sharing.^gl
12.2 Node of a DQDB network.Ig2
13 Solutions to Selected Exercises i«7
Bibliography
Index la
209 |
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| illustrated | Illustrated |
| indexdate | 2024-08-01T00:27:49Z |
| institution | BVB |
| isbn | 3528155353 |
| language | English |
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| physical | 218 S. graph. Darst. : 21 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Vieweg |
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| series2 | Vieweg advanced studies in computer science |
| spelling | Bause, Falko Verfasser aut Stochastic petri nets an introduction to the theory Falko Bause ; Pieter S. Kritzinger 2. ed. Braunschweig ; Wiesbaden Vieweg 2002 218 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Vieweg advanced studies in computer science Petri nets Stochastic processes Stochastisches Petri-Netz (DE-588)4337061-5 gnd rswk-swf Stochastisches Petri-Netz (DE-588)4337061-5 s DE-604 Kritzinger, Pieter Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009960347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bause, Falko Kritzinger, Pieter Stochastic petri nets an introduction to the theory Petri nets Stochastic processes Stochastisches Petri-Netz (DE-588)4337061-5 gnd |
| subject_GND | (DE-588)4337061-5 |
| title | Stochastic petri nets an introduction to the theory |
| title_auth | Stochastic petri nets an introduction to the theory |
| title_exact_search | Stochastic petri nets an introduction to the theory |
| title_full | Stochastic petri nets an introduction to the theory Falko Bause ; Pieter S. Kritzinger |
| title_fullStr | Stochastic petri nets an introduction to the theory Falko Bause ; Pieter S. Kritzinger |
| title_full_unstemmed | Stochastic petri nets an introduction to the theory Falko Bause ; Pieter S. Kritzinger |
| title_short | Stochastic petri nets |
| title_sort | stochastic petri nets an introduction to the theory |
| title_sub | an introduction to the theory |
| topic | Petri nets Stochastic processes Stochastisches Petri-Netz (DE-588)4337061-5 gnd |
| topic_facet | Petri nets Stochastic processes Stochastisches Petri-Netz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009960347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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