Delayed and network queues:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, New Jersey
Wiley
[2016]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xiii, 400 Seiten Illustrationen, Diagramme |
| ISBN: | 9781119022138 |
Internformat
MARC
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| 245 | 1 | 0 | |a Delayed and network queues |c Aliakbar Montazer Haghighi, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA; Dimitar P. Mishev, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA |
| 264 | 1 | |a Hoboken, New Jersey |b Wiley |c [2016] | |
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| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Routing (Computer network management) |x Mathematics | |
| 650 | 4 | |a Computer networks |x Mathematical models | |
| 650 | 4 | |a Telecommunication |x Traffic | |
| 650 | 4 | |a Queuing networks (Data transmission) | |
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Datensatz im Suchindex
| _version_ | 1804176447854608384 |
|---|---|
| adam_text | CONTENTS
Preface
1 Preliminaries
1.1 B asics of Probability, 1
1.1.1 Introduction, 1
1.1.2 Conditional Probability, 2
1.2 Discrete Random Variables and Distributions, 4
1.3 Discrete Moments, 8
1.4 Continuous Random Variables, Density, and Cumulative Distribution
Functions, 13
1.5 Continuous Random Vector, 17
1.6 Functions of Random Variables, 19
1.7 Continuous Moments, 23
1.8 Difference Equations, 25
1.8.1 Introduction, 25
1.8.2 Basic Definitions and Properties, 25
1.9 Methods of Solving Linear Difference Equations with Constant
Coefficients, 27
1.9.1 Characteristic Equation Method, 27
1.9.2 Recursive Method, 29
1.9.3 Generating Function Method, 30
1.9.4 Laplace Transform Method, 32
Exercises, 36
viii
CONTENTS
2 Stochastic Processes 39
2.1 Introduction and Basic Definitions, 39
2.2 Markov Chain, 43
2.2.1 Classification of States, 53
2.3 Markov Process, 58
2.3.1 Markov Process with Discrete Space State, 58
2.4 Random Walk, 61
2.5 Up-and֊Down Biased Coin Design as a Random Walk, 69
Exercises, 75
3 Birth and Death Processes 77
3.1 Overviews of the Birth and Death Processes, 77
3.2 Finite B-D Process, 86
3.3 Pure Birth Process (Poisson Process), 94
3.4 Pure Death Process (Poisson Death Process), 96
Exercises, 97
4 Standard Queues 101
4.1 Introduction of Queues (General Birth and Death Process), 101
4.1.1 Mechanism, Characteristics, and Types of Queues, 103
4.2 Remarks on Non-Markovian Queues, 108
4.2.1 Takacs’s Waiting Time Paradox, 108
4.2.2 Virtual Waiting Time and Takacs’s Integro-Differential
Equation, 109
4.2.3 The Unfinished Work, 113
4.3 Stationary M/M/l Queueing Process, 116
4.4 A Parallel M/M/C/K with Baking and Reneging, 119
4.5 Stationary M/M/l/K Queueing Process, 120
4.6 Busy Period of an M/M/l/K Queue, 122
4.7 Stationary M/M/l and MIMIIIK Queueing Processes with Feedback, 124
4.7.1 Stationary Distribution of the Sojourn Time of a Task, 126
4.7.2 Distribution of the Total Time of Service by a Task, 128
4.7.3 Stationary Distribution of the Feedback Queue Size, 129
4.7.4 Stationary Distribution of C,n (Sojourn Time of the rath task), 130
4.8 Queues with Bulk Arrivals and Batch Service, 131
4.9 A Priority Queue with Balking and Reneging, 133
4.10 Discrete Time M/M/l Queueing Process, Combinatorics Method
(Lattice Paths), 137
4.10.1 The Basic Ballot Problem, 138
4.10.2 Ballot Problem (based on Takacs 1997), 140
4.10.3 Transient Solution of the M/M/l by Lattice Path Method, 149
4.11 Stationary M/M/C Queueing Process, 153
4.11.1 A Stationary Multiserver Queue, 154
Exercises, 156
CONTENTS
ix
5 Queues With Delay 159
5.1 Introduction, 159
5.2 A Queuing System with Delayed Service, 163
5.3 An M/GI1 Queue with Server Breakdown and with Multiple Working
Vacation, 172
5.3.1 Mathematical Formulation of the Model, 173
5.3.2 Steady-State Mean Number of Tasks in the System, 173
5.3.3 A Special Case, 183
5.4 A Bulk Queuing System Under А-Policy with Bilevel Service Delay
Discipline and Start-Up Time, 185
5.4.1 Analysis of the Model, 186
5.5 Interrelationship between А-Policy M/G/l/K and F-Policy G/M/l/K
Queues with Start-up Time, 188
5.5.1 А-Policy M/GIl/K Queuing System with Exponential Start-up
Time, 189
5.5.2 F-Policy GIE/l/K Queuing System with Exponential Start-up
Time, 195
5.6 A Transient МІМ/1 Queue Under (M, A)-Policy, Lattice Path Method, 199
5.6.1 Solution in Discrete Time, 200
5.6.2 Solution in Continuous Time, 206
5.7 Stationary M/M/l Queuing Process with Delayed Feedback, 208
5.7.1 Distribution of the Queue Length, 209
5.7.2 Mean Queue Length and Waiting Time, 213
5.8 Single-Server Queue with Unreliable Server and Breakdowns with an
Optional Second Service, 222
5.9 A Bulk Arrival Retrial Queue with Unreliable Server, 229
5.9.1 The Model, 231
5.9.2 Model Analysis, 233
5.9.3 Steady-State System Analysis, 237
5.9.4 Performance Measures, 244
5.9.5 Numerical Illustration, 248
5.10 Multiserver Queue with Retrial Feedback Queuing System with Two
Orbits, 253
5.11 Steady-State Stability Condition of a Retrial Queuing System with Two
Orbits, Reneging, and Feedback, 258
5.11.1 Necessary Stability Condition for the Steady-State System, 259
5.12 Batch Arrival Queue with General Service in Two Fluctuating Modes and
Reneging During Vacation and Breakdowns, 263
5.12.1 The Model, 263
5.12.2 Analysis, 265
Exercises, 266
6 Networks of Queues with Delay 267
6.1 Introduction to Networks of Queues, 267
6.2 Historical Notes on Networks of Queues, 270
X
CONTENTS
6.3 Jackson’s Network of Queues, 272
6.3.1 Jackson’s Model, 273
6.4 Robustness of Networks of Queues, 298
6.5 A MAP Single-Server Queueing System with Delayed Feedback as a
Network of Queues, 302
6.5.1 Description of the Model, 304
6.5.2 Service Station, 307
6.5.3 Stepwise Explicit Joint Distribution of the Number of Tasks in the
System: General Case When Batch Sizes Vary Between a Minimum
^ and a Maximum iT, 319
6.6 Unreliable Networks of Queueing System Models, 336
6.6.1 Unreliable Network Model of Goodman and Massey, 337
6.6.2 Unreliable Network of Queues Model of Mylosz and Daduna, 340
6.6.3 Unreliable Network of Queues Model of Gautam Choudhury,
Jau-Chuan Ke, and Lotfi Tadj: A Queueing System with Two
Network Phases of Services, Unreliable Server, Repair Time Delay
under A-Policy, 348
6.7 Assessment of Reliability of a Network of Queues, 363
6.8 Effect of Network Service Breakdown, 365
6.8.1 The Model (CoginfoCom System), 366
6.8.2 Analysis, 368
6.8.3 Numerical Example, 370
Exercises, 374
References 377
Index
391
|
| any_adam_object | 1 |
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| language | English |
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| spelling | Haghighi, Aliakbar Montazer Verfasser (DE-588)136696082 aut Delayed and network queues Aliakbar Montazer Haghighi, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA; Dimitar P. Mishev, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA Hoboken, New Jersey Wiley [2016] © 2016 xiii, 400 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Mathematisches Modell Routing (Computer network management) Mathematics Computer networks Mathematical models Telecommunication Traffic Queuing networks (Data transmission) Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Telekommunikationsnetz (DE-588)4133586-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Rechnernetz (DE-588)4070085-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Rechnernetz (DE-588)4070085-9 s Telekommunikationsnetz (DE-588)4133586-7 s Stochastischer Prozess (DE-588)4057630-9 s Warteschlangentheorie (DE-588)4255044-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Mišev, Dimităr P. 1952- Verfasser (DE-588)124144330 aut Erscheint auch als Online-Ausgabe, pdf 978-1-119-02214-5 Erscheint auch als Online-Ausgabe, epub 978-1-119-02215-2 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029093633&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029093633&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Haghighi, Aliakbar Montazer Mišev, Dimităr P. 1952- Delayed and network queues Mathematik Mathematisches Modell Routing (Computer network management) Mathematics Computer networks Mathematical models Telecommunication Traffic Queuing networks (Data transmission) Warteschlangentheorie (DE-588)4255044-0 gnd Telekommunikationsnetz (DE-588)4133586-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Rechnernetz (DE-588)4070085-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4255044-0 (DE-588)4133586-7 (DE-588)4114528-8 (DE-588)4070085-9 (DE-588)4057630-9 |
| title | Delayed and network queues |
| title_auth | Delayed and network queues |
| title_exact_search | Delayed and network queues |
| title_full | Delayed and network queues Aliakbar Montazer Haghighi, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA; Dimitar P. Mishev, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA |
| title_fullStr | Delayed and network queues Aliakbar Montazer Haghighi, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA; Dimitar P. Mishev, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA |
| title_full_unstemmed | Delayed and network queues Aliakbar Montazer Haghighi, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA; Dimitar P. Mishev, Department of Mathematics, Prairie View A&M University, Member of the Texas A&M University System, Prairie View, Texas, USA |
| title_short | Delayed and network queues |
| title_sort | delayed and network queues |
| topic | Mathematik Mathematisches Modell Routing (Computer network management) Mathematics Computer networks Mathematical models Telecommunication Traffic Queuing networks (Data transmission) Warteschlangentheorie (DE-588)4255044-0 gnd Telekommunikationsnetz (DE-588)4133586-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Rechnernetz (DE-588)4070085-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Mathematik Mathematisches Modell Routing (Computer network management) Mathematics Computer networks Mathematical models Telecommunication Traffic Queuing networks (Data transmission) Warteschlangentheorie Telekommunikationsnetz Rechnernetz Stochastischer Prozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029093633&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029093633&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT haghighialiakbarmontazer delayedandnetworkqueues AT misevdimitarp delayedandnetworkqueues |