Heavy Traffic Analysis of Controlled Queueing and Communication Networks:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2001
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Schriftenreihe: | Stochastic Modelling and Applied Probability
47 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The aim of this book is the development of the heavy traffic approach to the modeling and analysis of queueing networks, both controlled and uncontrolled, and many applications to computer, communications, and manufacturing systems. The methods exploit the multiscale structure of the physical problem to get approximating models that have the form of reflected diffusion processes, either controlled or uncontrolled. These ap proximating models have the basic structure of the original problem, but are significantly simpler. Much of inessential detail is eliminated (or "av eraged out"). They greatly simplify analysis, design, and optimization and yield good approximations to problems that would otherwise be intractable, under broad conditions. Queueing-type processes are ubiquitous occurrences in operations re search, and in communications and computer systems. Indeed, it is hard to avoid them in modern technology. The subject is now about 100 years old. and there is an enormous literature. Impressive techniques, many based on Markov chain and ergodic theory, have been developed to han dle a great variety of models. A sampling of the numerous books includes [6, 8, 18, 27, 33, 46, 81, 86, 132, 133, 220, 243]. But the models of interest are growing fast in the face of the demands of new applications, particularly in communications and computer systems |
Beschreibung: | 1 Online-Ressource (XIX, 515 p) |
ISBN: | 9781461300052 9781461265412 |
ISSN: | 0172-4568 |
DOI: | 10.1007/978-1-4613-0005-2 |
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author | Kushner, Harold J. |
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isbn | 9781461300052 9781461265412 |
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spelling | Kushner, Harold J. Verfasser aut Heavy Traffic Analysis of Controlled Queueing and Communication Networks by Harold J. Kushner New York, NY Springer New York 2001 1 Online-Ressource (XIX, 515 p) txt rdacontent c rdamedia cr rdacarrier Stochastic Modelling and Applied Probability 47 0172-4568 The aim of this book is the development of the heavy traffic approach to the modeling and analysis of queueing networks, both controlled and uncontrolled, and many applications to computer, communications, and manufacturing systems. The methods exploit the multiscale structure of the physical problem to get approximating models that have the form of reflected diffusion processes, either controlled or uncontrolled. These ap proximating models have the basic structure of the original problem, but are significantly simpler. Much of inessential detail is eliminated (or "av eraged out"). They greatly simplify analysis, design, and optimization and yield good approximations to problems that would otherwise be intractable, under broad conditions. Queueing-type processes are ubiquitous occurrences in operations re search, and in communications and computer systems. Indeed, it is hard to avoid them in modern technology. The subject is now about 100 years old. and there is an enormous literature. Impressive techniques, many based on Markov chain and ergodic theory, have been developed to han dle a great variety of models. A sampling of the numerous books includes [6, 8, 18, 27, 33, 46, 81, 86, 132, 133, 220, 243]. But the models of interest are growing fast in the face of the demands of new applications, particularly in communications and computer systems Mathematics Distribution (Probability theory) Operations research Probability Theory and Stochastic Processes Operation Research/Decision Theory Control, Robotics, Mechatronics Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s Stochastische Differentialgleichung (DE-588)4057621-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-0005-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kushner, Harold J. Heavy Traffic Analysis of Controlled Queueing and Communication Networks Mathematics Distribution (Probability theory) Operations research Probability Theory and Stochastic Processes Operation Research/Decision Theory Control, Robotics, Mechatronics Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
subject_GND | (DE-588)4057621-8 (DE-588)4255044-0 |
title | Heavy Traffic Analysis of Controlled Queueing and Communication Networks |
title_auth | Heavy Traffic Analysis of Controlled Queueing and Communication Networks |
title_exact_search | Heavy Traffic Analysis of Controlled Queueing and Communication Networks |
title_full | Heavy Traffic Analysis of Controlled Queueing and Communication Networks by Harold J. Kushner |
title_fullStr | Heavy Traffic Analysis of Controlled Queueing and Communication Networks by Harold J. Kushner |
title_full_unstemmed | Heavy Traffic Analysis of Controlled Queueing and Communication Networks by Harold J. Kushner |
title_short | Heavy Traffic Analysis of Controlled Queueing and Communication Networks |
title_sort | heavy traffic analysis of controlled queueing and communication networks |
topic | Mathematics Distribution (Probability theory) Operations research Probability Theory and Stochastic Processes Operation Research/Decision Theory Control, Robotics, Mechatronics Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
topic_facet | Mathematics Distribution (Probability theory) Operations research Probability Theory and Stochastic Processes Operation Research/Decision Theory Control, Robotics, Mechatronics Mathematik Stochastische Differentialgleichung Warteschlangentheorie |
url | https://doi.org/10.1007/978-1-4613-0005-2 |
work_keys_str_mv | AT kushnerharoldj heavytrafficanalysisofcontrolledqueueingandcommunicationnetworks |