Download or read book Customer Choice and Routing in Queueing Networks written by Ali K. Parlaktürk and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Customer Choice and Routing in Queueing Networks written by Sunil Kumar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study self-interested routing in stochastic networks, taking into account the discrete stochastic dynamics of such networks. We analyze a two station multiclass queueing network in which the system manager chooses the scheduling rule used, and individual customers choose routes in a self-interested manner. We show that this network can be unstable in Nash equilibrium when the scheduling rule is chosen naively by the system manager. We also design a non-trivial scheduling rule that negates the performance degradation due to self-interested routing and achieves a Nash equilibrium with excellent performance.
Download or read book An Introduction to Queueing Networks written by Jean Walrand and published by . This book was released on 1988 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Queueing Networks written by J. MacGregor Smith and published by Springer. This book was released on 2018-08-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Queueing Networks with Discrete Time Scale written by Hans Daduna and published by Springer Science & Business Media. This book was released on 2001-07-18 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on classical queueing theory mainly dealing with single node queueing systems, networks of queues, or stochastic networks has been a field of intensive research over the last three decades. Whereas the first breakthrough in queueing network theory was initiated by problems and work in operations research, the second breakthrough, as well as subsequent major work in the area, was closely related to computer science, particularly to performance analysis of complex systems in computer and communication science. The text reports on recent research and development in the area. It is centered around explicit expressions for the steady behavior of discrete time queueing networks and gives a moderately positive answer to the question of whether there can be a product form calculus in discrete time. Originating from a course given by the author at Hamburg University, this book is ideally suited as a text for courses on discrete time stochastic networks.
Download or read book Rational Queueing written by Refael Hassin and published by CRC Press. This book was released on 2016-03-23 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the Strategic Behavior in Queueing SystemsRational Queueing provides one of the first unified accounts of the dynamic aspects involved in the strategic behavior in queues. It explores the performance of queueing systems where multiple agents, such as customers, servers, and central managers, all act but often in a noncooperative manner.T
Download or read book Introduction to Queueing Networks written by Erol Gelenbe and published by Wiley-Blackwell. This book was released on 1998-07-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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/
Download or read book Strategic Decisions in Directed Networks written by Amnon Rapoport and published by Cambridge Scholars Publishing. This book was released on 2022-03-09 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects and integrates the results of an extensive research program conducted by the authors over the past two decades. It spans the disciplines of transportation science, operations management, and behavioral economics, and consists of 16 chapters previously published in peer-reviewed academic journals and grouped under three topical sections: queueing, route choice, and departure time. The book focuses on strategic interactions in directed networks and laboratory experiments carefully designed to test the descriptive validity of the underlying theoretical models. The research question that unifies the chapters is: do the conclusions of theoretical literature account for the decisions of network users in controlled laboratory experiments? With several major qualifications, this book answers this question affirmatively.
Download or read book Analysis of Communication Networks Call Centres Traffic and Performance written by David R. McDonald and published by American Mathematical Soc.. This book was released on 2000 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the proceedings of the Workshop on Analysis and Simulation of Communication Networks held at The Fields Institute (Toronto). The workshop was divided into two main themes, entitled "Stability and Load Balancing of a Network of Call Centres" and "Traffic and Performance". The call centre industry is large and fast-growing. In order to provide top-notch customer service, it needs good mathematical models. The first part of the volume focuses on probabilistic issues involved in optimizing the performance of a call centre. While this was the motivating application, many of the papers are also applicable to more general distributed queueing networks. The second part of the volume discusses the characterization of traffic streams and how to estimate their impact on the performance of a queueing system. The performance of queues under worst-case traffic flows or flows with long bursts is treated. These studies are motivated by questions about buffer dimensioning and call admission control in ATM or IP networks. This volume will serve researchers as a comprehensive, state-of-the-art reference source on developments in this rapidly expanding field.
Download or read book Queueing Networks and Product Forms written by N. M. van Dijk and published by . This book was released on 1993-10-19 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fluid and Queueing Networks with Gurvich type Routing written by Emre Arda Sisbot and published by . This book was released on 2015 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing networks have applications in a wide range of domains, from call center management to telecommunication networks. Motivated by a healthcare application, in this dissertation, we analyze a class of queueing and fluid networks with an additional routing option that we call Gurvich-type routing. The networks we consider include parallel buffers, each associated with a different class of entity, and Gurvich-type routing allows to control the assignment of an incoming entity to one of the classes. In addition to routing, scheduling of entities is also controlled as the classes of entities compete for service at the same station. A major theme in this work is the investigation of the interplay of this routing option with the scheduling decisions in networks with various topologies. The first part of this work focuses on a queueing network composed of two parallel buffers. We form a Markov decision process representation of this system and prove structural results on the optimal routing and scheduling controls. Via these results, we determine a near-optimal discrete policy by solving the associated fluid model along with perturbation expansions. In the second part, we analyze a single-station fluid network composed of N parallel buffers with an arbitrary N. For this network, along with structural proofs on the optimal scheduling policies, we show that the optimal routing policies are threshold-based. We then develop a numerical procedure to compute the optimal policy for any initial state. The final part of this work extends the analysis of the previous part to tandem fluid networks composed of two stations. For two different models, we provide results on the optimal scheduling and routing policies.
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.
Download or read book Norton s equivalent for batch routing queueing networks with independently routing customers written by Richard J. Boucherie and published by . This book was released on 1996 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Distributions in Stochastic Network Models written by Gurami Shalvovich T︠S︡it︠s︡iashvili and published by Nova Publishers. This book was released on 2008 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents important research results in the areas of queuing theory, risk theory, graph theory and reliability theory. The analysed stochastic network models are aggregated systems of elements in random environments. To construct and to analyse a large number of different stochastic network models it is possible by a proof of new analytical results and a construction of calculation algorithms besides of the application of cumbersome traditional techniques Such a constructive approach is in a prior detailed investigation of an algebraic model component and leads to an appearance of new original stochastic network models, algorithms and application to computer science and information technologies. Accuracy and asymptotic formulas, additional calculation algorithms have been constructed due to an introduction of control parameters into analysed models, a reduction of multi-dimensional problems to one dimensional problems, a comparative analysis, a graphic interpretation of network models, an investigation of new models characteristics, a choice of special distributions classes or principles of subsystems aggregation, proves of new statements.
Download or read book Dynamic Routing in Queueing Networks written by Christopher Neil Laws and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Routing in Open Finite Queueing Networks written by Hemant D. Gosavi and published by . This book was released on 1988 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
