Stochastic petri nets an introduction to the theory
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Braunschweig ; Wiesbaden
Vieweg
2002
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Vieweg advanced studies in computer science
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014686552 | ||
| 003 | DE-604 | ||
| 005 | 20050316 | ||
| 007 | t| | ||
| 008 | 020827s2002 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 965068137 |2 DE-101 | |
| 020 | |a 3528155353 |9 3-528-15535-3 | ||
| 035 | |a (OCoLC)248762080 | ||
| 035 | |a (DE-599)BVBBV014686552 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-824 |a DE-355 |a DE-473 |a DE-Aug4 |a DE-706 |a DE-522 |a DE-11 | ||
| 050 | 0 | |a QA267 | |
| 084 | |a QH 450 |0 (DE-625)141593: |2 rvk | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a ST 130 |0 (DE-625)143588: |2 rvk | ||
| 084 | |a ST 132 |0 (DE-625)143589: |2 rvk | ||
| 100 | 1 | |a Bause, Falko |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stochastic petri nets |b an introduction to the theory |c Falko Bause ; Pieter S. Kritzinger |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Braunschweig ; Wiesbaden |b Vieweg |c 2002 | |
| 300 | |a 218 S. |b graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Vieweg advanced studies in computer science | |
| 650 | 4 | |a Petri nets | |
| 650 | 4 | |a Stochastic processes | |
| 650 | 0 | 7 | |a Stochastisches Petri-Netz |0 (DE-588)4337061-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Stochastisches Petri-Netz |0 (DE-588)4337061-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Kritzinger, Pieter |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009960347 | |
Datensatz im Suchindex
| DE-473_call_number | 61/ST 132 WX 27829 |
|---|---|
| DE-473_location | 6 |
| DE-BY-UBG_katkey | 1978121 |
| DE-BY-UBG_media_number | 013106124531 |
| DE-BY-UBR_call_number | 00/QH 450 B351 |
| DE-BY-UBR_katkey | 3387777 |
| DE-BY-UBR_location | 00 |
| DE-BY-UBR_media_number | 069038154903 |
| _version_ | 1824052002461581313 |
| 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
|
| any_adam_object | 1 |
| author | Bause, Falko Kritzinger, Pieter |
| author_facet | Bause, Falko Kritzinger, Pieter |
| author_role | aut aut |
| author_sort | Bause, Falko |
| author_variant | f b fb p k pk |
| building | Verbundindex |
| bvnumber | BV014686552 |
| callnumber-first | Q - Science |
| callnumber-label | QA267 |
| callnumber-raw | QA267 |
| callnumber-search | QA267 |
| callnumber-sort | QA 3267 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 450 SK 820 ST 130 ST 132 |
| ctrlnum | (OCoLC)248762080 (DE-599)BVBBV014686552 |
| discipline | Informatik Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01667nam a2200445 c 4500</leader><controlfield tag="001">BV014686552</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050316 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">020827s2002 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">965068137</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3528155353</subfield><subfield code="9">3-528-15535-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)248762080</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014686552</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-522</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA267</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 450</subfield><subfield code="0">(DE-625)141593:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 130</subfield><subfield code="0">(DE-625)143588:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ST 132</subfield><subfield code="0">(DE-625)143589:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bause, Falko</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stochastic petri nets</subfield><subfield code="b">an introduction to the theory</subfield><subfield code="c">Falko Bause ; Pieter S. Kritzinger</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Braunschweig ; Wiesbaden</subfield><subfield code="b">Vieweg</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">218 S.</subfield><subfield code="b">graph. Darst. : 21 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Vieweg advanced studies in computer science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Petri nets</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic processes</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastisches Petri-Netz</subfield><subfield code="0">(DE-588)4337061-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stochastisches Petri-Netz</subfield><subfield code="0">(DE-588)4337061-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kritzinger, Pieter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009960347</subfield></datafield></record></collection> |
| id | DE-604.BV014686552 |
| illustrated | Illustrated |
| indexdate | 2025-02-14T17:43:16Z |
| institution | BVB |
| isbn | 3528155353 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009960347 |
| oclc_num | 248762080 |
| open_access_boolean | |
| owner | DE-824 DE-355 DE-BY-UBR DE-473 DE-BY-UBG DE-Aug4 DE-706 DE-522 DE-11 |
| owner_facet | DE-824 DE-355 DE-BY-UBR DE-473 DE-BY-UBG DE-Aug4 DE-706 DE-522 DE-11 |
| physical | 218 S. graph. Darst. : 21 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Vieweg |
| record_format | marc |
| series2 | Vieweg advanced studies in computer science |
| 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 |
| work_keys_str_mv | AT bausefalko stochasticpetrinetsanintroductiontothetheory AT kritzingerpieter stochasticpetrinetsanintroductiontothetheory |