Heavy Traffic Analysis of Controlled Queueing and Communication Networks

Heavy Traffic Analysis of Controlled Queueing and Communication Networks PDF

Author: Harold Kushner

Publisher: Springer Science & Business Media

Published: 2001-06-08

Total Pages: 12

ISBN-13: 9780387952642

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One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.

Heavy Traffic Analysis of Controlled Queueing and Communication Networks

Heavy Traffic Analysis of Controlled Queueing and Communication Networks PDF

Author: Harold Kushner

Publisher: Springer

Published: 2013-12-02

Total Pages: 515

ISBN-13: 9781461300069

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One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.

Heavy Traffic Analysis of Controlled Queueing and Communication Networks

Heavy Traffic Analysis of Controlled Queueing and Communication Networks PDF

Author: Harold Kushner

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 522

ISBN-13: 1461300053

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One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.

Analysis of Communication Networks: Call Centres, Traffic and Performance

Analysis of Communication Networks: Call Centres, Traffic and Performance PDF

Author: David R. McDonald

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 210

ISBN-13: 0821819917

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This volume consists of the proceedings of the Workshop on Analysis and Simulation of Communication Networks held at The Fields Institute (Toronto). The workshop was divided into two main themes, entitled "Stability and Load Balancing of a Network of Call Centres" and "Traffic and Performance". The call centre industry is large and fast-growing. In order to provide top-notch customer service, it needs good mathematical models. The first part of the volume focuses on probabilistic issues involved in optimizing the performance of a call centre. While this was the motivating application, many of the papers are also applicable to more general distributed queueing networks. The second part of the volume discusses the characterization of traffic streams and how to estimate their impact on the performance of a queueing system. The performance of queues under worst-case traffic flows or flows with long bursts is treated. These studies are motivated by questions about buffer dimensioning and call admission control in ATM or IP networks. This volume will serve researchers as a comprehensive, state-of-the-art reference source on developments in this rapidly expanding field.

Analysis of Communication Networks

Analysis of Communication Networks PDF

Author: David R. McDonald

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 216

ISBN-13: 9780821871348

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This volume consists of the proceedings of the Workshop on Analysis and Simulation of Communication Networks held at The Fields Institute (Toronto). The workshop was divided into two main themes, entitled "Stability and Load Balancing of a Network of Call Centres" and "Traffic and Performance". The call centre industry is large and fast-growing. In order to provide top-notch customer service, it needs good mathematical models. The first part of the volume focuses on probabilistic issues involved in optimizing the performance of a call centre. While this was the motivating application, many of the papers are also applicable to more general distributed queueing networks. The second part of the volume discusses the characterization of traffic streams and how to estimate their impact on the performance of a queueing system. The performance of queues under worst-case traffic flows or flows with long bursts is treated. These studies are motivated by questions about buffer dimensioning and call admission control in ATM or IP networks. This volume will serve researchers as a comprehensive, state-of-the-art reference source on developments in this rapidly expanding field.

Scheduling and Control of Queueing Networks

Scheduling and Control of Queueing Networks PDF

Author: Gideon Weiss

Publisher: Cambridge University Press

Published: 2021-10-14

Total Pages: 448

ISBN-13: 1108245773

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Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.

Stochastic Models in Reliability, Network Security and System Safety

Stochastic Models in Reliability, Network Security and System Safety PDF

Author: Quan-Lin Li

Publisher: Springer Nature

Published: 2019-10-21

Total Pages: 497

ISBN-13: 981150864X

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This book is dedicated to Jinhua Cao on the occasion of his 80th birthday. Jinhua Cao is one of the most famous reliability theorists. His main contributions include: published over 100 influential scientific papers; published an interesting reliability book in Chinese in 1986, which has greatly influenced the reliability of education, academic research and engineering applications in China; initiated and organized Reliability Professional Society of China (the first part of Operations Research Society of China) since 1981. The high admiration that Professor Cao enjoys in the reliability community all over the world was witnessed by the enthusiastic response of each contributor in this book. The contributors are leading researchers with diverse research perspectives. The research areas of the book iclude a broad range of topics related to reliability models, queueing theory, manufacturing systems, supply chain finance, risk management, Markov decision processes, blockchain and so forth. The book consists of a brief Preface describing the main achievements of Professor Cao; followed by congratulations from Professors Way Kuo and Wei Wayne Li, and by Operations Research Society of China, and Reliability Professional Society of China; and further followed by 25 articles roughly grouped together. Most of the articles are written in a style understandable to a wide audience. This book is useful to anyone interested in recent developments in reliability, network security, system safety, and their stochastic modeling and analysis.

Modern Trends in Controlled Stochastic Processes

Modern Trends in Controlled Stochastic Processes PDF

Author: Alexey B. Piunovskiy

Publisher: Luniver Press

Published: 2010-09

Total Pages: 342

ISBN-13: 1905986300

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World leading experts give their accounts of the modern mathematical models in the field: Markov Decision Processes, controlled diffusions, piece-wise deterministic processes etc, with a wide range of performance functionals. One of the aims is to give a general view on the state-of-the-art. The authors use Dynamic Programming, Convex Analytic Approach, several numerical methods, index-based approach and so on. Most chapters either contain well developed examples, or are entirely devoted to the application of the mathematical control theory to real life problems from such fields as Insurance, Portfolio Optimization and Information Transmission. The book will enable researchers, academics and research students to get a sense of novel results, concepts, models, methods, and applications of controlled stochastic processes.

Wireless Communications

Wireless Communications PDF

Author: Prathima Agrawal

Publisher: Springer Science & Business Media

Published: 2010-05-05

Total Pages: 370

ISBN-13: 0387489452

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This volume contains papers based on invited talks given at the 2005 IMA Summer Workshop on Wireless Communications, held at the Institute for Mathematics and Its Applications, University of Minnesota, June 22 - July 1, 2005. It presents some of the highlights of the workshop, and collects papers covering a broad spectrum of important and pressing issues in wireless communications.

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