Fundamentals of queueing theory:
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ, USA
Wiley
[2018]
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| Edition: | Fifth Edition |
| Series: | Wiley series in probability and statistics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | xiii, 548 Seiten Diagramme |
| ISBN: | 9781118943526 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS Preface ix Acknowledgments xi About the Companion Website xiii 1 Introduction 1.1 1.2 1.3 1.4 1.5 1.6 1.7 2 Measures of System Performance Characteristics of Queueing Systems The Experience of Waiting Little’s Law General Results Simple Bookkeeping for Queues Introduction to the QtsPlus Software Problems 1 2 4 9 10 19 22 26 27 Review of Stochastic Processes 35 2.1 2.2 2.3 2.4 35 39 49 62 69 The Exponential Distribution The Poisson Process Discrete-Time Markov Chains Continuous-Time Markov Chains Problems v
vi CONTENTS 3 Simple Markovian Queueing Models 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 3.12 4 Advanced Markovian Queueing Models 4.1 4.2 4.3 4.4 4.5 5 6 7 Birth-Death Processes Single-Server Queues (M/M/1) Multiserver Queues (M/M/c) Choosing the Number of Servers Queues with Truncation (M/M/c/K) Erlang’s Loss Formula (M/M/c/c) Queues with Unlimited Service (M/M/oo) Finite-Source Queues State-Dependent Service Queues with Impatience Transient Behavior Busy-Period Analysis Problems 73 73 77 90 97 100 105 108 109 115 119 121 126 127 147 Bulk Input (M^/M/l) Bulk Service (M/M^/l) Erlang Models Priority Queue Disciplines Retrial Queues Problems 147 153 158 172 191 204 Networks, Series, and Cyclic Queues 213 5.1 5.2 5.3 5.4 5.5 5.6 215 221 229 243 244 246 248 Series Queues Open Jackson Networks Closed Jackson Networks Cyclic Queues Extensions of Jackson Networks Non-Jackson Networks Problems General Arrival or Service Patterns 255 6.1 6.2 6.3 255 290 295 306 General Service, Single Server (М/С?/1) General Service, Multiserver (M/G/c/·, M/G/oo) General Input (G/M/l, G/M/c) Problems General Models and Theoretical Topics 313 7.1 7.2 7.3 313 320 330 G/Ek/l,G^/M/l,mdG/PHk/l General Input, General Service (G/G/l) Poisson Input, Constant Service, Multiserver (M/D/c)
CONTENTS 7.4 7.5 7.6 7.7 8 Bounds and Approximations 8.1 8.2 8.3 8.4 9 Semi-Markov and Markov Renewal Processes in Queueing Other Queue Disciplines Design and Control of Queues Statistical Inference in Queueing Problems Bounds Approximations Deterministic Fluid Queues Network Approximations Problems Numerical Techniques and Simulation 9.1 9.2 9.3 Numerical Techniques Numerical Inversion of Transforms Discrete-Event Stochastic Simulation Problems VÌI 332 337 342 353 361 365 366 378 392 400 411 417 417 433 446 469 References 475 Appendix A: Symbols and Abbreviations 487 Appendix B: Tables 495 Appendix C: Transforms and Generating Functions 503 C. 1 C.2 Laplace Transforms Generating Functions Appendix D: Differential and Difference Equations D.l D.2 Ordinary Differential Equations Difference Equations Appendix E: QtsPlus Software E. 1 Index Instructions for Downloading 503 510 515 515 531 537 540 541
The definitive guide to queueing theory and its practical applications—features numerous real-world examples of scientific, engineering, and business applications Thoroughly updated and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fifth Edition presents the statistical principles and processes involved in the analysis of the probabilistic nature of queues. Rather than focus narrowly on a particular application area, the authors illustrate the theory in practice across a range of fields, from computer science and various engineering disciplines to business and operations research. Critically, the text also provides a numerical approach to understanding and making estimations with queueing theory and provides comprehensive coverage of both simple and advanced queueing models. As with all preceding editions, this latest update of the classic text features a unique blend of the theoretical and timely real-world applications. The introductory section has been reorganized with expanded coverage of qualitative/non-mathematical approaches to queueing theory, including a high-level description of queues in everyday life. New sections on non-stationary fluid queues, fairness in queueing, and Little s Law have been added, as has expanded coverage of stochastic processes, including the Poisson process and Markov chains. • Each chapter provides a self-contained presentation of key concepts and formulas, to allow readers to focus Independently on topics relevant to their interests • A summary table atthe end of the book outlines the queues
that ha ve been discussed and the types of results that have been obtained for each queue • Examples from a range of disciplines highlight practical issues often encountered when applying the theory to real-world problems • A companion website features QtsPlus, an Excel-based software platform that provides computer-based solutions for most queueing models presented in the book. Featuring chapter-end exercises and problems—all of which have been classroom-tested and refined by the authors in advanced undergraduate and graduate-level courses—Fundamentals of Queueing Theory, Fifth Edition is an ideal textbook for courses in applied mathematics, queueing theory, probability and statistics, and stochastic processes. This book is also a valuable reference for practitioners in applied mathematics, operations research, engineering, and industrial engineering. is Professor in the Department of Systems Engineering and Operations Research at George Mason University. John F. Shortle, PhD, James M. Thompson is an Enterprise Architect atthe Federal Home Loan Mortgage Corporation. Donald Gross, PhD, is Professor emeritus, The George Washington University, and was Distinguished Research Professor of Operations Research and Engineering at George Mason University. was BDM հւէ՚՚ր a*i- nal Professor and the founding chair of the Systems ons Researç И|Й||11Т, t George Мзѕрл University. , PhD,
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| author_facet | Shortle, John F. 1969- Thompson, James M. 1954- Gross, Donald 1934- Harris, Carl M. 1940-2000 |
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| discipline | Mathematik Wirtschaftswissenschaften |
| edition | Fifth Edition |
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| series2 | Wiley series in probability and statistics |
| spelling | Shortle, John F. 1969- Verfasser (DE-588)136141250 aut Fundamentals of queueing theory John F. Shortle (Professor of systems engineering & operations research, George Mason University), James F. Thompson (enterprise architect, Freddie Mac), Donald Gross (formerly of Geroge Mason University, Professor Emeritus, The George Washington University), Carl M. Harris (Late of George Mason University) Fifth Edition Hoboken, NJ, USA Wiley [2018] xiii, 548 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Warteschlange (DE-588)4189150-8 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Wartezeit (DE-588)4189152-1 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Verteilungsfunktion (DE-588)4192219-0 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 Thompson, James M. 1954- Verfasser (DE-588)1096508680 aut Gross, Donald 1934- Verfasser (DE-588)136141277 aut Harris, Carl M. 1940-2000 Verfasser (DE-588)131722727 aut Erscheint auch als Online-Ausgabe, PDF 978-1-118-94356-4 Erscheint auch als Online-Ausgabe, EPUB 978-1-118-94353-3 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030025762&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030025762&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 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 | Shortle, John F. 1969- Thompson, James M. 1954- Gross, Donald 1934- Harris, Carl M. 1940-2000 Fundamentals of queueing theory Warteschlange (DE-588)4189150-8 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Statistik (DE-588)4056995-0 gnd Netzwerk (DE-588)4171529-9 gnd Wartezeit (DE-588)4189152-1 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Verteilungsfunktion (DE-588)4192219-0 gnd |
| subject_GND | (DE-588)4189150-8 (DE-588)4137007-7 (DE-588)4056995-0 (DE-588)4171529-9 (DE-588)4189152-1 (DE-588)4255044-0 (DE-588)4192219-0 |
| title | Fundamentals of queueing theory |
| title_auth | Fundamentals of queueing theory |
| title_exact_search | Fundamentals of queueing theory |
| title_full | Fundamentals of queueing theory John F. Shortle (Professor of systems engineering & operations research, George Mason University), James F. Thompson (enterprise architect, Freddie Mac), Donald Gross (formerly of Geroge Mason University, Professor Emeritus, The George Washington University), Carl M. Harris (Late of George Mason University) |
| title_fullStr | Fundamentals of queueing theory John F. Shortle (Professor of systems engineering & operations research, George Mason University), James F. Thompson (enterprise architect, Freddie Mac), Donald Gross (formerly of Geroge Mason University, Professor Emeritus, The George Washington University), Carl M. Harris (Late of George Mason University) |
| title_full_unstemmed | Fundamentals of queueing theory John F. Shortle (Professor of systems engineering & operations research, George Mason University), James F. Thompson (enterprise architect, Freddie Mac), Donald Gross (formerly of Geroge Mason University, Professor Emeritus, The George Washington University), Carl M. Harris (Late of George Mason University) |
| title_short | Fundamentals of queueing theory |
| title_sort | fundamentals of queueing theory |
| topic | Warteschlange (DE-588)4189150-8 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Statistik (DE-588)4056995-0 gnd Netzwerk (DE-588)4171529-9 gnd Wartezeit (DE-588)4189152-1 gnd Warteschlangentheorie (DE-588)4255044-0 gnd Verteilungsfunktion (DE-588)4192219-0 gnd |
| topic_facet | Warteschlange Wahrscheinlichkeit Statistik Netzwerk Wartezeit Warteschlangentheorie Verteilungsfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030025762&sequence=000001&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=030025762&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT shortlejohnf fundamentalsofqueueingtheory AT thompsonjamesm fundamentalsofqueueingtheory AT grossdonald fundamentalsofqueueingtheory AT harriscarlm fundamentalsofqueueingtheory |