Traffic Processes In Queueing Networks
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Traffic Processes In Queueing Networks
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Author : Ralph L. Disney
language : en
Publisher:
Release Date : 1987
Traffic Processes In Queueing Networks written by Ralph L. Disney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with History categories.
Traffic Processes In Queueing Networks
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Author : Ralph L. Disney
language : en
Publisher:
Release Date : 1987
Traffic Processes In Queueing Networks written by Ralph L. Disney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Traffic Processes In Queueing Networks
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Author : Ralph L. Disney
language : en
Publisher:
Release Date : 1987
Traffic Processes In Queueing Networks written by Ralph L. Disney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with History categories.
Traffic Processes In Queueing Networks Markov Renewal Approach
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Author : R.L. Disney
language : it
Publisher:
Release Date :
Traffic Processes In Queueing Networks Markov Renewal Approach written by R.L. Disney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Queueing Networks In Heavy Traffic
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Author : Martin Ira Reiman
language : en
Publisher:
Release Date : 1977
Queueing Networks In Heavy Traffic written by Martin Ira Reiman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Limit theorems (Probability theory) categories.
The principle purpose of this report is to state and prove a limit theorem which justifies a diffusion approximation for general queueing networks. The K-dimensional vector queue length process is investigated for the network. Because of the general form assumed for the interarrival and service distributions, the process has no special structure such as the Markov property. In this generality, the network has proven to be intractable, hence the desire for an approximation. It is possible to define a traffic intensity for each station in the network. Heavy traffic is said to hold when all stations have traffic intensities close to unity. Mathematically, heavy traffic is interpreted through consideration of a sequence of queueing networks indexed (say) by n, each with its own parameters, defined in such a way that the traffic intensity of each station approaches unity as n approaches infinity. The state space of the limit process is the K-dimensional non-negative orthant. On the interior of its state space the process behaves as a multidimensional Brownian motion with an easily computed drift vector and covariance matrix. At each boundary surface the process reflects instantaneously. The directions of reflection are given by a simple expression involving only the routing matrix. After proving that the limit process is a diffusion, its generator is computed, justifying the above description.
Fundamentals Of Queueing Networks
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Author : Hong Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Fundamentals Of Queueing Networks written by Hong Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
The objective of this book is to collect in a single volume the essentials of stochastic networks, from the classical product-form theory to the more re cent developments such as diffusion and fluid limits, stochastic comparisons, stability, control (dynamic scheduling) and optimization. The selection of materials inevitably is a reflection upon our bias and preference, but it is also driven to a large extent by our desire to provide a graduate-level text that is well balanced in breadth and depth, suitable for the classroom. Given the wide-ranging applications of stochastic networks in recent years, from supply chains to telecommunications, it is also our hope that the book will serve as a useful reference for researchers and students alike in these diverse fields. The book consists of three parts. The first part, Chapters 1 through 4, covers (continuous-time) Markov-chain models, including the classical Jackson and Kelly networks, the notion of quasi-reversible queues, and stochastic comparisons. The second part, Chapters 5 through 10, focuses on Brownian models, including limit theorems for generalized Jackson net works and multiclass feedforward networks, an in-depth examination of stability in a Kumar-Seidman network, and Brownian approximations for general multiclass networks with a mixture of priority and first-in-first-out disciplines. The third part, Chapters 11 and 12, discusses scheduling in both queueing (stochastic) and fluid (deterministic) networks, along with topics such as conservation laws, polymatroid optimization, and linear pro gramming.
Frontiers In Queueing
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Author : Jewgeni H. Dshalalow
language : en
Publisher: CRC Press
Release Date : 1997-01-21
Frontiers In Queueing written by Jewgeni H. Dshalalow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-21 with Business & Economics categories.
Queueing systems and networks are being applied to many areas of technology today, including telecommunications, computers, satellite systems, and traffic processes. This timely book, written by 26 of the most respected and influential researchers in the field, provides an overview of fundamental queueing systems and networks as applied to these technologies. Frontiers in Queueing: Models and Applications in Science and Engineering was written with more of an engineering slant than its predecessor, Advances in Queueing: Theory, Methods, and Open Problems. The earlier book was primarily concerned with methods, and was more theoretically oriented. This new volume, meant to be a sequel to the first book, was written by scientists and queueing theorists whose expertise is in technology and engineering, allowing readers to answer questions regarding the technicalities of related methods from the earlier book. Each chapter in the book surveys the classes of queueing models and networks, or the applied methods in queueing, and is followed by a discussion of open problems and future research directions. The discussion of these future trends is especially important to novice researchers, students, and even their advisors, as it provides the perspectives of eminent scientists in each area, thus showing where research efforts should be focused. Frontiers in Queueing: Models and Applications in Science and Engineering also includes applications to vital areas of engineering and technology, specifically, telecommunications, computers and computer networks, satellite systems, traffic processes, and more applied methods such as simulation, statistics, and numerical methods. All researchers, from students to advanced professionals, can benefit from the sound advice and perspective of the contributors represented in this book.
Heavy Traffic Analysis Of Controlled Queueing And Communication Networks
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Author : Harold Kushner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Heavy Traffic Analysis Of Controlled Queueing And Communication Networks written by Harold Kushner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.
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.
Queueing Networks With Blocking
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Author : Yves Dallery
language : en
Publisher:
Release Date : 1998
Queueing Networks With Blocking written by Yves Dallery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Queuing theory categories.
Introduction To Queueing Networks
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Author : Erol Gelenbe
language : en
Publisher: Wiley-Blackwell
Release Date : 1998-07-07
Introduction To Queueing Networks written by Erol Gelenbe and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-07 with Computers categories.
Introduction to Queueing Networks Second Edition Erol Gelenbe, Duke University, North Carolina, USA and Guy Pujolle, University of Versailles, France With new concepts emerging in recent literature, this is a timely update to a highly successful and well established first edition. Queueing networks are particularly important as digital communications continue to grow; this text provides a through and comprehensive introduction to the concept of applying mathematical queueing network theory to data communications. New additions: * G-nets, i.e. generalized (or "Gelenbe") queueing networks which allow the analysis of on-line network control functions such as traffic re-routing, * discrete time queueing networks with application to ATM networks As leading authorities in this area, the authors' focus on the practical approach where aspects of queueing theory are applied directly to communications systems and networks. Included is a series of exercises and examples at the end of each chapter as well as a fully annotated bibliography. This book is of particular interest to communications and computer engineers and is essential reading for network. managers and administrators. It will also benefit students and researchers in the area of networks, as well as Web server administrators and personal computer users. Visit Our Web Page! http://www.wiley.com/