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Author : John Jay Hasenbein
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (42 download)
Download or read book Stability, Capacity, and Scheduling of Multiclass Queueing Networks written by John Jay Hasenbein and published by . This book was released on 1998 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cédric Westphal
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (485 download)
Download or read book Stability and Scheduling in Multiclass Queueing Networks written by Cédric Westphal and published by . This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin D. Glazebrook
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks written by Kevin D. Glazebrook and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present an intuitive stability condition for open multiclass queueing networks with Bernoulli routing: if each station has enough service capacity to cope with its peak traffic intensity, then the network is stable under any stationary nonidling scheduling policy. The condition is close to sharp for networks with light traffic between stations. Under this peak-rate condition, in the case of Markovian networks, we derive a closed-form upper bound on the time-average number of customers in the system, which is uniformly valid under all stationary nonidling policies. Our proof combines two recent results concerning (1) the relation between stability and performance via linear programming developed by Kumar and Meyn (1996); and (2) the work decomposition laws for multiclass queueing networks of Bertsimas and Ni?o-Mora (1999). The stability condition is tested on a generalization of the Lu-Kumar network, which shows how its quality depends on the degree of network connectivity.
Author : David Gamarnik
Publisher :
ISBN 13 :
Total Pages : 185 pages
Book Rating : 4.:/5 (381 download)
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:
Author : Hong Chen
Publisher : Springer Science & Business Media
ISBN 13 : 1475753012
Total Pages : 407 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Gideon Weiss
Publisher : Cambridge University Press
ISBN 13 : 1108245773
Total Pages : 448 pages
Book Rating : 4.1/5 (82 download)
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.
Author : Hengqing Ye
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (436 download)
Download or read book Stability and Diffusion Approximation of Multiclass Queueing Networks written by Hengqing Ye and published by . This book was released on 1999 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John J. Hasenbein
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (366 download)
Download or read book Necessary Conditions for Global Stability of Multiclass Queueing Networks written by John J. Hasenbein and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Balaji Sampath
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (173 download)
Download or read book Scheduling and Stability Analysis of Cambridge Ring written by Balaji Sampath and published by . This book was released on 2007 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiclass queueing networks are widely used to model complex manufacturing systems and communications networks. In this dissertation we describe and analyze a multiclass queueing network model known as the Cambridge Ring. As the name suggest this network has a circular topology with unidirectional routing. In many cases the analysis of a stochastic model is a difficult task. For a few special cases of this network we show that all non-idling policies are throughput optimal for this system. One of the major differences between this work and precious literature is that we prove throughput optimality of all non-idling policies, whereas most of the previous work has been on establishing throughput optimality for a specific policy (usually First-In-First-Out). We use a macroscopic technique known as fluid model to identify optimal policies with respect to work in process. In one case we consider, the discrete scheduling policy motivated by the optimal fluid policy is indeed optimal in the discrete network. For the other special case we show by means of a deterministic counterexample that the discrete policy most naturally suggested by the fluid optimal policy may not be optimal for the queueing network. We also formulate the fluid holding cost optimization problem and present its solution for a simple version of the Cambridge Ring. Further we establish that the optimal policy under a class of policies known as "non-ejective" policies may be an idling policy. We use an example of the Cambridge Ring with a single vehicle to show that the optimal policy for this example has to be an idling policy.
Author : Lawrence M. Wein
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (189 download)
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:
Author : Caiwei Li
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (49 download)
Download or read book Dynamic Scheduling of Multiclass Queueing Networks written by Caiwei Li and published by . This book was released on 2000 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimitris J. Bertsimas
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (393 download)
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:
Author : Ioannis Ch Paschalidis
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (282 download)
Download or read book Scheduling of Multiclass Queueing Networks written by Ioannis Ch Paschalidis and published by . This book was released on 1992 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maury Bramson
Publisher : Springer Science & Business Media
ISBN 13 : 3540688951
Total Pages : 201 pages
Book Rating : 4.5/5 (46 download)
Download or read book Stability of Queueing Networks written by Maury Bramson and published by Springer Science & Business Media. This book was released on 2008-06-26 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Richard J. Boucherie
Publisher : Springer Science & Business Media
ISBN 13 : 144196472X
Total Pages : 814 pages
Book Rating : 4.4/5 (419 download)
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.
Author : Otis Brian Jennings
Publisher :
ISBN 13 :
Total Pages : 538 pages
Book Rating : 4.:/5 (448 download)
Download or read book Multiclass Queueing Networks with Setup Delays written by Otis Brian Jennings and published by . This book was released on 2000 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimitris J. Bertsimas
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (318 download)
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:
