Signalling In Product Form Queueing Networks

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Signalling In Product Form Queueing Networks

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Author : Bruce Stephen Northcote
language : en
Publisher:
Release Date : 1993

Signalling In Product Form Queueing Networks written by Bruce Stephen Northcote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Queueing Networks

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Author : Xiuli Chao
language : en
Publisher: Wiley
Release Date : 1999-08-03

Queueing Networks written by Xiuli Chao and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-03 with Mathematics categories.

Wiley-Interscience Series in Systems and Optimization Queueing Networks Customers, Signals and Product Form Solutions Xiuli Chao, New Jersey Institute of Technology, USA Masakiyo Miyazawa, Science University of Tokyo, Japan Michael Pinedo, New York University, USA 'Mathematically beautiful and elegant yet has much practical application' - Professor Richard Weber The first mathematical analysis of a queueing problem concerned the use of early telephone switches. Since then, emerging technologies such as those in telecommunications and the manufacturing industry have prompted considerable interest and activity in the field. Much of the current research has been enabled by recent, rapid advances in computer technology making large scale simulations and complex approximations possible. Today, queueing systems play an integral role in the performance evaluation and optimization of computer, communication. manufacturing and transportation systems. Includes: * Discussion on the fundamental structures of queueing network models * The latest developments in the field * Thorough examination of numerous applications * Exercises at the end of each chapter * Coverage of queueing networks with signals * Discussion of future research developments With the advances in information technology, many networks have, in addition to conventional jobs, signals and messages circulating throughout the system. A signal carries information and instructions and may trigger complex simultaneous events. The objective of this book is to present, in a unified framework, the latest developments in queueing networks with signals, After introducing the foundations in the first four chapters, Chapters 5 through to 8 cover a number of different queueing network models with various features. Chapters 9 to 11 focus on more fundamental structures of queueing networks and Chapter 12 presents a framework for discrete time queueing network models. The text is illustrated throughout with numerous examples. Graduate students in operations research, computer science, electrical engineering and applied mathematics will find this text accessible and invaluable. An essential reference for operation researchers and computer scientists working on queueing problems in computing, manufacturing and communications networks.

Queueing Networks

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Author : Richard J. Boucherie
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25

Queueing Networks written by Richard J. Boucherie 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 2010-11-25 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.

Product Form Networks Of Queues With Signals

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Author : Sonja Peterson
language : en
Publisher:
Release Date : 1999

Product Form Networks Of Queues With Signals written by Sonja Peterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Queueing Networks And Product Forms

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Author : N. M. van Dijk
language : en
Publisher:
Release Date : 1993-10-19

Queueing Networks And Product Forms written by N. M. van Dijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-19 with Mathematics categories.

This book, the first presentation and survey of its kind, aims to provide simple, practical insights by which both researchers and practitioners may benefit in enabling them to recognize when closed form expressions can be expected for steady state probabilities. In particular, it shows how these same insights can be used to develop simple bounds for systems that are non-solvable when practical features are taken into account.

Queueing Networks As Models Of Human Performance And Human Computer Interaction

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Author : Yili Liu
language : en
Publisher:
Release Date : 1993

Queueing Networks As Models Of Human Performance And Human Computer Interaction written by Yili Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Introduction To Queueing Networks

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Author : J. MacGregor Smith
language : en
Publisher: Springer
Release Date : 2018-08-28

Introduction To Queueing Networks written by J. MacGregor Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Mathematics categories.

The book examines the performance and optimization of systems where queueing and congestion are important constructs. Both finite and infinite queueing systems are examined. Many examples and case studies are utilized to indicate the breadth and depth of the queueing systems and their range of applicability. Blocking of these processes is very important and the book shows how to deal with this problem in an effective way and not only compute the performance measures of throughput, cycle times, and WIP but also to optimize the resources within these systems. The book is aimed at advanced undergraduate, graduate, and professionals and academics interested in network design, queueing performance models and their optimization. It assumes that the audience is fairly sophisticated in their mathematical understanding, although the explanations of the topics within the book are fairly detailed.

Product Form In Queueing Networks

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Author : R. J. Boucherie
language : en
Publisher: I.B.D. Limited
Release Date : 1992

Product Form In Queueing Networks written by R. J. Boucherie and has been published by I.B.D. Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Queuing theory categories.

Handbook Of Scheduling

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Author : Joseph Y-T. Leung
language : en
Publisher: CRC Press
Release Date : 2004-04-27

Handbook Of Scheduling written by Joseph Y-T. Leung and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-27 with Business & Economics categories.

This handbook provides full coverage of the most recent and advanced topics in scheduling, assembling researchers from all relevant disciplines to facilitate new insights. Presented in six parts, these experts provides introductory material, complete with tutorials and algorithms, then examine classical scheduling problems. Part 3 explores scheduling models that originate in areas such as computer science, operations research. The following section examines scheduling problems that arise in real-time systems. Part 5 discusses stochastic scheduling and queueing networks, and the final section discusses a range of applications in a variety of areas, from airlines to hospitals.

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.