Fundamentals of queueing theory:
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| Previous Title: | Gross, Donald Fundamentals of queueing theory |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2008
|
| Edition: | 4. ed. |
| Series: | Wiley series in probability and statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XIII, 500 S. graph. Darst. |
| ISBN: | 9780471791270 |
Staff View
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Record in the Search Index
| _version_ | 1804138053747343360 |
|---|---|
| adam_text | CONTENTS
Dedication
v
Preface
xi
Acknowledgments
xiii
1
Introduction
1
1.1
Description of the Queueing Problem
2
1.2
Characteristics of Queueing Processes
3
1.3
Notation
7
1.4
Measuring System Performance
8
1.5
Some General Results
9
1.6
Simple Data Bookkeeping for Queues
12
1.7
Poisson
Process and the Exponential Distribution
16
1.8
Markovian Property of the Exponential Distribution
20
1.9
Stochastic Processes and Markov Chains
24
1.10
Introduction to the QtsPlus Software
40
Problems
41
vii
Vili
CONTENTS
2
Simple Markovian Queueing
Models 49
2.1
Birth-Death
Processes
49
2.2
Single-Server Queues
(M/M/
1) 53
2.3
Multiserver Queues (M/M/c)
66
2.4
Choosing the Number of Servers
73
2.5
Queues with Truncation (M/M/c/K)
76
2.6
Erlang s Loss Formula (M/M/c/c)
81
2.7
Queues with Unlimited Service (M/M/oo)
84
2.8
Finite-Source Queues
85
2.9
State-Dependent Service
91
2.10
Queues with Impatience
95
2.11
Transient Behavior
97
2.12
Busy-Period Analysis
102
Problems
103
3
Advanced Markovian Queueing Models
117
3.1
Bulk Input
(MW/M/I)
117
3.2
Bulk Service (M/Mt1 ]/!) 123
3.3
Erlangian Models
128
3.4
Priority Queue Disciplines
141
3.5
Retrial Queues
157
Problems
171
4
Networks, Series, and Cyclic Queues
179
4.1
Series Queues
181
4.2
Open Jackson Networks
187
4.3
Closed Jackson Networks
195
4.4
Cyclic Queues
209
4.5
Extensions of Jackson Networks
210
4.6
Non-
Jackson Networks
212
Problems
214
5
General Arrival or Service Patterns
219
5.1
General Service, Single Server (M/G/l)
219
5.2
General Service, Multiserver (M/G/c/·, M/G/oo)
254
5.3
General Input (G/M/l,
G
/М/с) 259
Problems
270
6
General Models and Theoretical Topics
277
6.1
G/Ek/LGW/M/^andG/PHb/l
277
6.2
General Input, General Service (G/G/l)
284
6.3
Poisson
Input, Constant Service, Multiserver (M/D/c)
294
CONTENTS
IX
6.4
Semi-Markov and Markov Renewal Processes in Queueing
296
6.5
Other Queue Disciplines
301
6.6
Design and Control of Queues
306
6.7
Statistical Inference in Queueing
317
Problems
325
7
Bounds and Approximations
329
7.1
Bounds
330
7.2
Approximations
343
7.3
Network Approximations
356
Problems
367
8
Numerical Techniques and Simulation
369
8.1
Numerical Techniques
369
8.2
Numerical Inversion of Transforms
385
8.3
Discrete-Event Stochastic Simulation
398
Problems
421
References
427
Appendix A: Symbols and Abbreviations
439
Appendix B: Tables
447
Appendix C: Transforms and Generating Functions
455
C.I Laplace Transforms
455
C.2 Generating Functions
462
Appendix D: Differential and Difference Equations
467
D.
1
Ordinary Differential Equations
467
D.2 Difference Equations
483
Appendix E: QtsPlus Software
489
E.
1
Instructions for Downloading
492
Index
493
|
| adam_txt |
CONTENTS
Dedication
v
Preface
xi
Acknowledgments
xiii
1
Introduction
1
1.1
Description of the Queueing Problem
2
1.2
Characteristics of Queueing Processes
3
1.3
Notation
7
1.4
Measuring System Performance
8
1.5
Some General Results
9
1.6
Simple Data Bookkeeping for Queues
12
1.7
Poisson
Process and the Exponential Distribution
16
1.8
Markovian Property of the Exponential Distribution
20
1.9
Stochastic Processes and Markov Chains
24
1.10
Introduction to the QtsPlus Software
40
Problems
41
vii
Vili
CONTENTS
2
Simple Markovian Queueing
Models 49
2.1
Birth-Death
Processes
49
2.2
Single-Server Queues
(M/M/
1) 53
2.3
Multiserver Queues (M/M/c)
66
2.4
Choosing the Number of Servers
73
2.5
Queues with Truncation (M/M/c/K)
76
2.6
Erlang's Loss Formula (M/M/c/c)
81
2.7
Queues with Unlimited Service (M/M/oo)
84
2.8
Finite-Source Queues
85
2.9
State-Dependent Service
91
2.10
Queues with Impatience
95
2.11
Transient Behavior
97
2.12
Busy-Period Analysis
102
Problems
103
3
Advanced Markovian Queueing Models
117
3.1
Bulk Input
(MW/M/I)
117
3.2
Bulk Service (M/Mt1']/!) 123
3.3
Erlangian Models
128
3.4
Priority Queue Disciplines
141
3.5
Retrial Queues
157
Problems
171
4
Networks, Series, and Cyclic Queues
179
4.1
Series Queues
181
4.2
Open Jackson Networks
187
4.3
Closed Jackson Networks
195
4.4
Cyclic Queues
209
4.5
Extensions of Jackson Networks
210
4.6
Non-
Jackson Networks
212
Problems
214
5
General Arrival or Service Patterns
219
5.1
General Service, Single Server (M/G/l)
219
5.2
General Service, Multiserver (M/G/c/·, M/G/oo)
254
5.3
General Input (G/M/l,
G
/М/с) 259
Problems
270
6
General Models and Theoretical Topics
277
6.1
G/Ek/LGW/M/^andG/PHb/l
277
6.2
General Input, General Service (G/G/l)
284
6.3
Poisson
Input, Constant Service, Multiserver (M/D/c)
294
CONTENTS
IX
6.4
Semi-Markov and Markov Renewal Processes in Queueing
296
6.5
Other Queue Disciplines
301
6.6
Design and Control of Queues
306
6.7
Statistical Inference in Queueing
317
Problems
325
7
Bounds and Approximations
329
7.1
Bounds
330
7.2
Approximations
343
7.3
Network Approximations
356
Problems
367
8
Numerical Techniques and Simulation
369
8.1
Numerical Techniques
369
8.2
Numerical Inversion of Transforms
385
8.3
Discrete-Event Stochastic Simulation
398
Problems
421
References
427
Appendix A: Symbols and Abbreviations
439
Appendix B: Tables
447
Appendix C: Transforms and Generating Functions
455
C.I Laplace Transforms
455
C.2 Generating Functions
462
Appendix D: Differential and Difference Equations
467
D.
1
Ordinary Differential Equations
467
D.2 Difference Equations
483
Appendix E: QtsPlus Software
489
E.
1
Instructions for Downloading
492
Index
493 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| edition | 4. ed. |
| format | Book |
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| id | DE-604.BV035094859 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:11:51Z |
| indexdate | 2024-07-09T21:22:05Z |
| institution | BVB |
| isbn | 9780471791270 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016762921 |
| oclc_num | 191318243 |
| open_access_boolean | |
| owner | DE-945 DE-20 DE-634 DE-11 DE-703 DE-M347 DE-Aug4 DE-91G DE-BY-TUM DE-384 |
| owner_facet | DE-945 DE-20 DE-634 DE-11 DE-703 DE-M347 DE-Aug4 DE-91G DE-BY-TUM DE-384 |
| physical | XIII, 500 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in probability and statistics |
| spelling | Fundamentals of queueing theory Donald Gross ... 4. ed. Hoboken, NJ Wiley 2008 XIII, 500 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Includes bibliographical references and index Queuing theory Statistik (DE-588)4056995-0 gnd rswk-swf Verteilungsfunktion (DE-588)4192219-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Wartezeit (DE-588)4189152-1 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Warteschlange (DE-588)4189150-8 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s DE-604 Warteschlange (DE-588)4189150-8 s 1\p DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s 2\p DE-604 Netzwerk (DE-588)4171529-9 s 3\p DE-604 Wartezeit (DE-588)4189152-1 s 4\p DE-604 Verteilungsfunktion (DE-588)4192219-0 s 5\p DE-604 Statistik (DE-588)4056995-0 s 6\p DE-604 Gross, Donald 1934- Sonstige (DE-588)136141277 oth 3. Auflage Gross, Donald Fundamentals of queueing theory Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762921&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fundamentals of queueing theory Queuing theory Statistik (DE-588)4056995-0 gnd Verteilungsfunktion (DE-588)4192219-0 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Wartezeit (DE-588)4189152-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Warteschlange (DE-588)4189150-8 gnd Netzwerk (DE-588)4171529-9 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4192219-0 (DE-588)4255044-0 (DE-588)4189152-1 (DE-588)4137007-7 (DE-588)4189150-8 (DE-588)4171529-9 |
| title | Fundamentals of queueing theory |
| title_auth | Fundamentals of queueing theory |
| title_exact_search | Fundamentals of queueing theory |
| title_exact_search_txtP | Fundamentals of queueing theory |
| title_full | Fundamentals of queueing theory Donald Gross ... |
| title_fullStr | Fundamentals of queueing theory Donald Gross ... |
| title_full_unstemmed | Fundamentals of queueing theory Donald Gross ... |
| title_old | Gross, Donald Fundamentals of queueing theory |
| title_short | Fundamentals of queueing theory |
| title_sort | fundamentals of queueing theory |
| topic | Queuing theory Statistik (DE-588)4056995-0 gnd Verteilungsfunktion (DE-588)4192219-0 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Wartezeit (DE-588)4189152-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Warteschlange (DE-588)4189150-8 gnd Netzwerk (DE-588)4171529-9 gnd |
| topic_facet | Queuing theory Statistik Verteilungsfunktion Warteschlangentheorie Wartezeit Wahrscheinlichkeit Warteschlange Netzwerk |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762921&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT grossdonald fundamentalsofqueueingtheory |