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Stability Of Queueing Networks

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Stability Of Queueing Networks

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Author : Maury Bramson
language : en
Publisher: Springer
Release Date : 2008-07-06

Stability Of Queueing Networks written by Maury Bramson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-06 with Mathematics categories.

Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks that are unstable even when the arrival rate is less than the service rate. The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Alice Guionnet and Steffen Lauritzen.

Stability Of Queueing Networks

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Author : Maury Bramson
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-26

Stability Of Queueing Networks written by Maury Bramson 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 2008-06-26 with Mathematics categories.

Queueing Networks

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Author : Richard J. Boucherie
language : en
Publisher: Springer
Release Date : 2011-04-07

Queueing Networks written by Richard J. Boucherie and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Mathematics categories.

This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner. The handbook is organized into five parts: Part 1 considers exact analytical results such as of product form type. Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden. Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures. Part 3 presents diffusion and fluid results. It specifically looks at the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic. Part 4 illustrates computational and approximate results through the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks. spanPart 5 enlightens selected applications as spanloss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest. spanThe book shows that spanthe intertwined progress of theory and practicespan will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.

Fundamentals Of Queueing Networks

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Author : Hong Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-15

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 2001-06-15 with Business & Economics categories.

"The selection of materials is well balanced in breadth and depth, making the book an ideal graduate-level text for students in engineering, business, applied mathematics, and probability and statistics.

Scheduling And Control Of Queueing Networks

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Author : Gideon Weiss
language : en
Publisher: Cambridge University Press
Release Date : 2021-10-14

Scheduling And Control Of Queueing Networks written by Gideon Weiss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-14 with Business & Economics categories.

A graduate text on theory and methods using applied probability techniques for scheduling service, manufacturing, and information networks.

Queueing Theory 1

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Author :
language : en
Publisher: John Wiley & Sons
Release Date : 2021-04-13

Queueing Theory 1 written by and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-13 with Mathematics categories.

The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers’ collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.

Fundamentals Of Queueing Networks

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Author : Hong Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

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.

Sample Path Analysis Of Queueing Systems

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Author : Muhammad El-Taha
language : en
Publisher: Springer Science & Business Media
Release Date : 1999

Sample Path Analysis Of Queueing Systems written by Muhammad El-Taha 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 1999 with Business & Economics categories.

Sample-Path Analysis of Queueing Systems uses a deterministic (sample-path) approach to analyze stochastic systems, primarily queueing systems and more general input-output systems. Among other topics of interest it deals with establishing fundamental relations between asymptotic frequencies and averages, pathwise stability, and insensitivity. These results are utilized to establish useful performance measures. The intuitive deterministic approach of this book will give researchers, teachers, practitioners, and students better insights into many results in queueing theory. The simplicity and intuitive appeal of the arguments will make these results more accessible, with no sacrifice of mathematical rigor. Recent topics such as pathwise stability are also covered in this context. The book consistently takes the point of view of focusing on one sample path of a stochastic process. Hence, it is devoted to providing pure sample-path arguments. With this approach it is possible to separate the issue of the validity of a relationship from issues of existence of limits and/or construction of stationary framework. Generally, in many cases of interest in queueing theory, relations hold, assuming limits exist, and the proofs are elementary and intuitive. In other cases, proofs of the existence of limits will require the heavy machinery of stochastic processes. The authors feel that sample-path analysis can be best used to provide general results that are independent of stochastic assumptions, complemented by use of probabilistic arguments to carry out a more detailed analysis. This book focuses on the first part of the picture. It does however, provide numerous examples that invoke stochastic assumptions, which typically are presented at the ends of the chapters.

Stability And Approximation Of Queueing Networks

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Author : Antonios Dimakis
language : en
Publisher:
Release Date : 2006

Stability And Approximation Of Queueing Networks written by Antonios Dimakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with 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/

Stability Of Queueing Networks

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