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Robust Fluid Control Of Multiclass Queueing Networks
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Book Synopsis Robust Fluid Control of Multiclass Queueing Networks by : Hua Su (S.M.)
Download or read book Robust Fluid Control of Multiclass Queueing Networks written by Hua Su (S.M.) and published by . This book was released on 2006 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis applies recent advances in the field of robust optimization to the optimal control of multiclass queueing networks. We develop models that take into account the uncertainty of interarrival and service time in multiclass queueing network problems without assuming a specific probability distribution, while remaining highly tractable and providing insight into the corresponding optimal control policy. Our approach also allows us to adjust the level of robustness of the solution to trade off performance and protection against uncertainty. We apply robust optimization to both open and closed queueing networks. For open queueing networks, we study control problems that involve sequencing, routing and input control decision, and optimize the total holding cost. For closed queueing networks, we focus on the sequencing problem and optimize the throughput. We compare the robust solutions to those derived by fluid control, dynamic programming and stochastic input control. We show that the robust control policy leads to better performance. Robust optimization emerges as a promising methodology to address a wide range of multiclass queueing networks subject to uncertainty, as it leads to representations of randomness that make few assumptions on the underlying probabilities. It also remains numerically tractable, and provides theoretical insights into the structure of the optimal control policy.
Book Synopsis A Robust Formulation of a Multi-class Queueing Network Control Problem by : Hui-Ming Pai
Download or read book A Robust Formulation of a Multi-class Queueing Network Control Problem written by Hui-Ming Pai and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Performance Evaluation of Multiclass Queueing Networks Via Fluid Limit Models by : Joonyoul Choi
Download or read book Performance Evaluation of Multiclass Queueing Networks Via Fluid Limit Models written by Joonyoul Choi and published by . This book was released on 1998 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Stability Conditions for Multiclass Fluid Queueing Networks by : Dimitris J. Bertsimas
Download or read book Stability Conditions for Multiclass Fluid Queueing Networks written by Dimitris J. Bertsimas and published by . This book was released on 1995 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Queueing Networks by : Richard J. Boucherie
Download or read book Queueing Networks written by Richard J. Boucherie and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Exploiting Hidden Convexity for Optimal Flow Control in Queueing Networks by : Chaithanya Bandi
Download or read book Exploiting Hidden Convexity for Optimal Flow Control in Queueing Networks written by Chaithanya Bandi and published by . This book was released on 2018 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal flow control in queueing networks is a challenging problem occurring in many contexts, such as data centers, cloud computing, healthcare, revenue management, and distributed networks, etc. The traditional approach has been to adopt heuristic solutions or consider infinite-horizon fluid or diffusion approximations. Motivated by emerging techniques in Robust Optimization, we propose a framework, termed Pipeline Queues, which tracks the dynamics of a queue simultaneously in terms of its queue length and waiting time. We begin by showing that the dynamics of a traditional queueing system can be equivalently modeled using this approach. Our key contribution is the uncovering of the hidden convexity resulting from our modeling approach. This leads us to tractable optimization formulations for generic flow control problems of obtaining performance guarantees on average and quantiles of waiting time, under arbitrary arrival and service distributions with non-zero initial conditions. Our model is flexible enough to capture partial observability and uncertainty of the initial state, as well as various constraints on the control policy.We apply our approach to multiple examples from the literature and numerically illustrate their application. Finally, we implemented our model on a real dataset at a major hospital in India. Our proposed policies are near optimal and perform significantly better than present heuristics.
Book Synopsis Scheduling Multiclass Queueing Networks and Job Shops Using Fluid and Semidefinite Relaxations by : Jayachandran Sethuraman
Download or read book Scheduling Multiclass Queueing Networks and Job Shops Using Fluid and Semidefinite Relaxations written by Jayachandran Sethuraman and published by . This book was released on 1999 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Queueing Networks by : Hong Chen
Download or read book Fundamentals of Queueing Networks written by Hong Chen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.
Book Synopsis Stability Conditions for Multiclass Fluid Queueing Networks by : Dimitris J. Bertsimas
Download or read book Stability Conditions for Multiclass Fluid Queueing Networks written by Dimitris J. Bertsimas and published by . This book was released on 1994 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Publisher :CRC Press ISBN 13 :1135439621 Total Pages :1142 pages Book Rating :4.1/5 (354 download)
Download or read book written by and published by CRC Press. This book was released on with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Queueing Networks with Blocking by : Simonetta Balsamo
Download or read book Analysis of Queueing Networks with Blocking written by Simonetta Balsamo and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing network models have been widely applied as a powerful tool for modelling, performance evaluation, and prediction of discrete flow systems, such as computer systems, communication networks, production lines, and manufacturing systems. Queueing network models with finite capacity queues and blocking have been introduced and applied as even more realistic models of systems with finite capacity resources and with population constraints. In recent years, research in this field has grown rapidly. Analysis of Queueing Networks with Blocking introduces queueing network models with finite capacity and various types of blocking mechanisms. It gives a comprehensive definition of the analytical model underlying these blocking queueing networks. It surveys exact and approximate analytical solution methods and algorithms and their relevant properties. It also presents various application examples of queueing networks to model computer systems and communication networks. This book is organized in three parts. Part I introduces queueing networks with blocking and various application examples. Part II deals with exact and approximate analysis of queueing networks with blocking and the condition under which the various techniques can be applied. Part III presents a review of various properties of networks with blocking, describing several equivalence properties both between networks with and without blocking and between different blocking types. Approximate solution methods for the buffer allocation problem are presented.
Book Synopsis Robustness Analysis in Decision Aiding, Optimization, and Analytics by : Michael Doumpos
Download or read book Robustness Analysis in Decision Aiding, Optimization, and Analytics written by Michael Doumpos and published by Springer. This book was released on 2016-07-12 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad coverage of the recent advances in robustness analysis in decision aiding, optimization, and analytics. It offers a comprehensive illustration of the challenges that robustness raises in different operations research and management science (OR/MS) contexts and the methodologies proposed from multiple perspectives. Aside from covering recent methodological developments, this volume also features applications of robust techniques in engineering and management, thus illustrating the robustness issues raised in real-world problems and their resolution within advances in OR/MS methodologies. Robustness analysis seeks to address issues by promoting solutions, which are acceptable under a wide set of hypotheses, assumptions and estimates. In OR/MS, robustness has been mostly viewed in the context of optimization under uncertainty. Several scholars, however, have emphasized the multiple facets of robustness analysis in a broader OR/MS perspective that goes beyond the traditional framework, seeking to cover the decision support nature of OR/MS methodologies as well. As new challenges emerge in a “big-data'” era, where the information volume, speed of flow, and complexity increase rapidly, and analytics play a fundamental role for strategic and operational decision-making at a global level, robustness issues such as the ones covered in this book become more relevant than ever for providing sound decision support through more powerful analytic tools.
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 2008-06-09 with total page 309 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 Stability Conditions for Multiclass Fluid Queueing Networks by : Dimitris Bertsimas
Download or read book Stability Conditions for Multiclass Fluid Queueing Networks written by Dimitris Bertsimas and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We find necessary and sufficient conditions for the stability of all work-conserving policies for multiclass fluid queuing networks with two stations. Furthermore, we find new sufficient conditions for the stability of multiclass queuing networks involving any number of stations and conjecture that these conditions are also necessary. Previous research had identified sufficient conditions through the use of a particular class (monotone piecewise linear convex) potential functions. We show that for two- station systems it is not possible for this class of potential function to give the new (sharp) conditions.
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 Stability and Performance of Multiclass Queueing Networks by : David Gamarnik
Download or read book Stability and Performance of Multiclass Queueing Networks written by David Gamarnik and published by . This book was released on 1997 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
