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Scheduling Network Of Queues
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Book Synopsis Scheduling and Control of Queueing Networks by : Gideon Weiss
Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate text on theory and methods using applied probability techniques for scheduling service, manufacturing, and information networks.
Book Synopsis Scheduling and Control of Queueing Networks by : Gideon Weiss
Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis QOS-Enabled Networks by : Miguel Barreiros
Download or read book QOS-Enabled Networks written by Miguel Barreiros and published by John Wiley & Sons. This book was released on 2016-02-08 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two experts in the field who deal with QOS predicaments every day and now in this 2nd edition give special attention to the realm of Data Centers, QoS Enabled Networks: Tools and Foundations, 2nd Edition provides a lucid understanding of modern QOS theory mechanisms in packet networks and how to apply them in practice. This book is focuses on the tools and foundations of QoS providing the knowledge to understand what benefits QOS offers and what can be built on top of it.
Book Synopsis Scheduling Network of Queues by : Lawrence M. Wein
Download or read book Scheduling Network of Queues written by Lawrence M. Wein and published by Forgotten Books. This book was released on 2017-12-19 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Scheduling Network of Queues: Heavy Traffic Analysis of a Multistation Network With Controllable Inputs Motivated by a factory scheduling problem, we consider the problem of input control (subject to a specified input mix) and priority sequencing in a multistation, multiclass queueing network with general service time distributions and a general routing structure. The objective is to minimize the long - run expected average number of customers in the system subject to a constraint on the long - run expected average output rate. Under balanced heavy loading conditions, this scheduling problem can be approximated by a control problem involving Brownian motion. Linear programming is used to reduce the workload formulation of this control problem to a constrained singular control problem for a multidimensional Brownian motion. The finite difference approximation method is then used to find a linear programming solution to the latter problem. The solution is interpreted in terms of the original queueing system in order to obtain an effective scheduling policy. The priority sequencing policy is based on dynamic reduced costs from a linear program, and the workload regulating input policy releases a customer into the system whenever the workload process enters a particular region. An example is provided that illustrates the procedure and demonstrates its effectiveness. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Robust Scheduling for Queueing Networks by : Ramtin Pedarsani
Download or read book Robust Scheduling for Queueing Networks written by Ramtin Pedarsani and published by . This book was released on 2015 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing networks are used to model complicated processing environments such as data centers, call centers, transportation networks, health systems, etc. A queueing network consists of multiple interconnected queues with some routing structure, and a set of servers that have different and possibly overlapping capabilities in processing tasks (jobs) of different queues. One of the most important challenges in designing processing systems is to come up with a low-complexity and efficient scheduling policy. In this thesis, we consider the problem of robust scheduling for various types of processing networks. We call a policy robust if it does not depend on system parameters such as arrival and service rates. A major challenge in designing efficient scheduling policies for new large-scale processing networks is the lack of reliable estimates of system parameters; thus, designing a robust scheduling policy is of great practical interest. We develop a novel methodology for designing robust scheduling policies for queueing networks. The key idea of our design is to use the queue-length changes information to learn the right allocation of service resources to different tasks by stochastic gradient projection method. Our scheduling policy is oblivious to the knowledge of arrival rates and service rates of tasks in the network. Further, we propose a new fork-join processing network for scheduling jobs that are represented as directed acyclic graphs. We apply our robust scheduling policy to this fork-join network, and prove rate stability of the network under some mild assumptions. Next, we consider the stability of open multiclass queueing networks under longest-queue (LQ) scheduling. LQ scheduling is of great practical interest since (a) it requires only local decisions per group of queues; (b) the policy is robust to knowledge of arrival rates, service rates and routing probabilities of the network. Throughput-optimality of LQ scheduling policy for open multiclass queueing network is still an open problem. We resolve the open problem for a special case of multiclass queueing networks with two servers that can each process two queues, and show that LQ is indeed throughput-optimal. Finally, we consider transportation networks that can be well modeled by queueing networks. We abstractly model a network of signalized intersections regulated by fixed-time controls as a deterministic queueing network with periodic arrival and service rates. This system is characterized by a delay-differential equation. We show that there exists a unique periodic trajectory of queue-lengths, and every trajectory or solution of the system converges to this periodic trajectory, independent of the initial conditions.
Download or read book Queueing Networks written by Xiuli Chao and published by Wiley. This book was released on 1999-08-03 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Scheduling a Two-station Multiclass Queueing Network in Heavy Traffic by : Lawrence M. Wein
Download or read book Scheduling a Two-station Multiclass Queueing Network in Heavy Traffic written by Lawrence M. Wein and published by . This book was released on 1988* with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Queueing Theory and Network Applications by : Tuan Phung-Duc
Download or read book Queueing Theory and Network Applications written by Tuan Phung-Duc and published by Springer Nature. This book was released on 2019-08-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Queueing Theory and Network Applications, QTNA 2019, held in Ghent, Belgium, in August 2019.The 23 full papers included in this volume were carefully reviewed and selected from 49 initial submissions. The papers are organized in topical sections on Retrial Queues; Controllable Queues; Strategic Queues; Queueing Networks; Scheduling Policies; Multidimensional Systems; and Queueing Models in Applications.
Book Synopsis Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic (Classic Reprint) by : Lawrence M. Wein
Download or read book Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic (Classic Reprint) written by Lawrence M. Wein and published by Forgotten Books. This book was released on 2018-03-28 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic The queueing network model can also accomodate machine breakdown and repair. By assuming that the amount of machine busy time between consecutive breakdowns is exponentially distributed, the breakdown and repair can be incorporated into the service time distributions for each customer class; see Harrison [4] for details. The modified rm and sf, are interpreted as the mean and variance of the effective service time of a class k. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Scheduling Network of Queues by : Lawrence M. Wein
Download or read book Scheduling Network of Queues written by Lawrence M. Wein and published by . This book was released on 1989 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling Network of Queues: Heavy Traffic Analysis of Multistation Network with Controllable Inputs by : Lawrence M. Wein
Download or read book Scheduling Network of Queues: Heavy Traffic Analysis of Multistation Network with Controllable Inputs written by Lawrence M. Wein and published by Palala Press. This book was released on 2018-02-20 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Stochastic Networks by : Frank Kelly
Download or read book Stochastic Networks written by Frank Kelly and published by Cambridge University Press. This book was released on 2014-02-27 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.
Book Synopsis Queueing Theory and Network Applications by : Tuan Phung-Duc
Download or read book Queueing Theory and Network Applications written by Tuan Phung-Duc and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Queueing Theory and Network Applications, QTNA 2019, held in Ghent, Belgium, in August 2019. The 23 full papers included in this volume were carefully reviewed and selected from 49 initial submissions. The papers are organized in topical sections on Retrial Queues; Controllable Queues; Strategic Queues; Queueing Networks; Scheduling Policies; Multidimensional Systems; and Queueing Models in Applications.
Book Synopsis Queueing Modelling Fundamentals by : Professor Chee-Hock Ng
Download or read book Queueing Modelling Fundamentals written by Professor Chee-Hock Ng and published by John Wiley & Sons. This book was released on 2008-04-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing analysis is a vital tool used in the evaluation of system performance. Applications of queueing analysis cover a wide spectrum from bank automated teller machines to transportation and communications data networks. Fully revised, this second edition of a popular book contains the significant addition of a new chapter on Flow & Congestion Control and a section on Network Calculus among other new sections that have been added to remaining chapters. An introductory text, Queueing Modelling Fundamentals focuses on queueing modelling techniques and applications of data networks, examining the underlying principles of isolated queueing systems. This book introduces the complex queueing theory in simple language/proofs to enable the reader to quickly pick up an overview to queueing theory without utilizing the diverse necessary mathematical tools. It incorporates a rich set of worked examples on its applications to communication networks. Features include: Fully revised and updated edition with significant new chapter on Flow and Congestion Control as-well-as a new section on Network Calculus A comprehensive text which highlights both the theoretical models and their applications through a rich set of worked examples, examples of applications to data networks and performance curves Provides an insight into the underlying queuing principles and features step-by-step derivation of queueing results Written by experienced Professors in the field Queueing Modelling Fundamentals is an introductory text for undergraduate or entry-level post-graduate students who are taking courses on network performance analysis as well as those practicing network administrators who want to understand the essentials of network operations. The detailed step-by-step derivation of queueing results also makes it an excellent text for professional engineers.
Book Synopsis Optimal Scheduling in Networks of Queues by : Magdi Sami Moustafa
Download or read book Optimal Scheduling in Networks of Queues written by Magdi Sami Moustafa and published by . This book was released on 1987 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linkage Model written by Deepak Gupta and published by LAP Lambert Academic Publishing. This book was released on 2012-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to offer a lively applied presentation of analytical and empirical tool for Linkage Model of network of queues with a flowshop scheduling system. This introductory text provides a concise and practical introduction to the primary concepts and techniques of Linkage Model. A lot of research work has already been done separately in the field of Queuing and Scheduling. A few efforts has been recorded so far to combine these two systems. The present work is an attempt to establish the linkage between these two systems of optimization. The Queuing-Scheduling linkage models are motivated by the fact that they are more meaningful from practical point of view. The illustrated examples format introduced in the text for every concept helps the reader to formulate the realistic problems easily. The C++ programmes under various sections will enable the readers and industrial people to apply these concepts practically. This book can be read without any prior knowledge of Queuing and Scheduling theory and may be of interest to all people.
Book Synopsis Scheduling in Switched Queueing Networks with Heavy-tailed Trac by : Mihalis G. Markakis
Download or read book Scheduling in Switched Queueing Networks with Heavy-tailed Trac written by Mihalis G. Markakis and published by . This book was released on 2013 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study scheduling problems arising in switched queueing networks, a class of stochastic systems that are often used to model data communication networks, such as uplinks and downlinks of cellular networks, networks of data switches, and ad hoc wireless networks. Motivated by empirical evidence of self-similarity and long-range dependence, the networks that we consider receive a mix of heavy-tailed and light-tailed trac. In this setting we evaluate the delay performance of the widely-studied class of Max-Weight scheduling policies. As performance metric we use the notion of delay stability, i.e., whether the steady-state expected delay in a queue is finite or not. Max-Weight policies are known to have excellent stability properties, and also to achieve good delay performance under light-tailed trac. Classical results from queueing theory imply that heavy-tailed queues are delay unstable under any policy, so we focus on the potential impact of heavy tails on light-tailed queues. The main insight derived from this thesis is that the Max-Weight policy performs poorly in the presence of heavy tails, whereas a suitably modified version of Max-Weight achieves much better overall performance. More specifically: (i) under the Max-Weight scheduling policy, any light-tailed queue that conflicts (i.e., cannot be served simultaneously) with a heavy-tailed queue is delay unstable; (ii) delay instability may propagate to light-tailed queues that do not conflict with heavy-tailed queues. The latter can happen through a "domino effect," if a light-tailed queue conflicts with a queue that has become delay unstable because it conflicts with a heavy-tailed queue. The extent of this phenomenon depends on the arrival rates; (iii) under the parameterized Max-Weight- scheduling policy, all light-tailed queues are delay stable provided the -parameters are chosen suitably. On the methodological side, we show how fluid approximations can be combined with renewal theory in order to prove delay instability results. Moreover, we show how fluid approximations can be combined with stochastic Lyapunov theory in order to prove delay stability results. Finally, we identify a class of piecewise linear Lyapunov functions that are suitable for obtaining exponential bounds on queue-length asymptotics, in the presence of heavy-tailed trac.
