Download or read book Diffusion Approximations of Queueing Networks written by Jim G. Dai and published by . This book was released on 1998 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluid and Diffusion Approximations of a Two station Mixed Queueing Network written by Vin Nguyen and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents fluid and diffusion approximations of a two-station mixed queueing network. The book provides an in-depth study of the topic and is ideal for students and researchers interested in queueing networks. It includes detailed explanations, examples, and exercises. 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 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. 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.
Download or read book Diffusion Approximations for Optimal Filtering of Jump Processes and for Queueing Networks written by Daniel Peter Johnson and published by . This book was released on 1983 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Use of Network Analysis and Fluid and Diffusion Approximations for Stochastic Queueing Networks to Understand Flows of Referrals and Outcomes in Community Health Care written by Ryan Palmer and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Application of Diffusion Approximations to the Study of Time Sharing Computers and Transitory Queueing Systems written by John P. Lehoczky and published by . This book was released on 1978 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research has been concentrated on two fundamental goals: the development of a new technique for analyzing stochastic systems, the diffusion approximation, and the application of diffusion approximations to the analysis of certain special stochastic models of Air Force interest. The specific models chosen for study were time-sharing computer systems, maintenance and repair systems, communication systems, and queueing networks in general. The research has shown that the technique of diffusion approximations provides an excellent tool for describing, analyzing, and optimizing stochastic models. It is especially important to note that the technique works well for very complex systems, systems which cannot be analyzed by ordinary methods. An entirely new approach has been developed for describing, analyzing and optimizing stochastic models. An entirely new approach has been developed for describing and possibly for optimizing the scheduling of time sharing computer systems with multiple job types. This technique also will be of great importance in optimizing the scheduling of maintenance and repair facilities which must provide a variety of services to a variety of different equipment. Furthermore, in the area of maintenance and repair systems, methods for describing service centers consisting of specialized repair crews and analyzing the performance of such systems were developed.
Download or read book Fluid and Diffusion Approximations of a Two Station Mixed Queueing Network Classic Reprint written by Vin Nguyen and published by Forgotten Books. This book was released on 2017-12-05 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Fluid and Diffusion Approximations of a Two-Station Mixed Queueing Network Open customers enter the network at station 1 and depart the system after receiving service. Meanwhile, a fixed number of closed customers circulate between stations 1 and 2 indefinitely. 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.
Download or read book Fluid and Diffusion Approximations of a Two station Mixed Queueing Network written by Viên Nguyen and published by . This book was released on 1993 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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:
Download or read book Queueing Theory 1 written by and published by John Wiley & Sons. This book was released on 2021-04-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers’ collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.
Download or read book Diffusion Approximations for Networks of Queues with Multiple Customer Types written by William Paul Peterson and published by . This book was released on 1985 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion Approximation of a Sequence of Semimartingales and Its Application in Exploring the Asymptotic Behaviour of Some Queueing Networks written by Yi-Ju Chao and published by . This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion Approximations of Queueung Networks written by J. G. "Jim" Dai and published by . This book was released on 1998 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Diffusion Approximation Solution to Time varying Queueing Networks with Application to Outpatient Care Systems written by James Paul Lashley and published by . This book was released on 1978 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Queueing Networks in Heavy Traffic written by Martin Ira Reiman and published by . This book was released on 1977 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle purpose of this report is to state and prove a limit theorem which justifies a diffusion approximation for general queueing networks. The K-dimensional vector queue length process is investigated for the network. Because of the general form assumed for the interarrival and service distributions, the process has no special structure such as the Markov property. In this generality, the network has proven to be intractable, hence the desire for an approximation. It is possible to define a traffic intensity for each station in the network. Heavy traffic is said to hold when all stations have traffic intensities close to unity. Mathematically, heavy traffic is interpreted through consideration of a sequence of queueing networks indexed (say) by n, each with its own parameters, defined in such a way that the traffic intensity of each station approaches unity as n approaches infinity. The state space of the limit process is the K-dimensional non-negative orthant. On the interior of its state space the process behaves as a multidimensional Brownian motion with an easily computed drift vector and covariance matrix. At each boundary surface the process reflects instantaneously. The directions of reflection are given by a simple expression involving only the routing matrix. After proving that the limit process is a diffusion, its generator is computed, justifying the above description.
Download or read book Heavy Traffic Analysis of Controlled Queueing and Communication Networks written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2001-06-08 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
