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Author : Kevin D. Glazebrook
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (933 download)
Download or read book Scheduling Multiclass Queueing Networks on Parallel Servers written by Kevin D. Glazebrook and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin D. Glazebrook
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (258 download)
Download or read book Scheduling Multiclass Queueing Networks on Parallel Servers:approximate and Heavy-traffic Optimality of Klimov's Rule written by Kevin D. Glazebrook and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sushant Jain
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (214 download)
Download or read book Optimization of Queueing Networks with Parallel Servers written by Sushant Jain and published by . This book was released on 1989 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Ramtin Pedarsani
Publisher :
ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (919 download)
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.
Author : Junxia Chang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (574 download)
Download or read book Dynamic Scheduling of Open Multiclass Queueing Networks in a Slowly Changing Environment written by Junxia Chang and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis investigates the dynamic scheduling of computer communication networks that can be periodically overloaded. Such networks are modelled as mutliclass queueing networks in a slowly changing environment. A hierarchy framework is established to search for a suitable scheduling policy for such networks through its connection with stochastic fluid models. In this work, the dynamic scheduling of a specific multiclass stochastic fluid model is studied first. Then, a bridge between the scheduling of stochastic fluid models and that of the queueing networks in a changing environment is established. In the multiclass stochastic fluid model, the focus is on a system with two fluid classes and a single server whose capacity can be shared arbitrarily among these two classes. The server may be overloaded transiently and it is under a quality of service contract which is indicated by a threshold value of each class. Whenever the fluid level of a certain class is above the designated threshold value, the penalty cost is incurred to the server. The optimal and asymptotically optimal resource allocation policies are specified for such a stochastic fluid model. Afterwards, a connection between the optimization of the queueing networks and that of the stochastic fluid models is established. This connection involves two steps. The first step is to approximate such networks by their corresponding stochastic fluid models with a proper scaling method. The second step is to construct a suitable policy for the queueing network through a successful interpretation of the stochastic fluid model solution, where the interpretation method is provided in this study. The results developed in this thesis facilitate the process of searching for a nearly optimal scheduling policy for queueing networks in a slowly changing environment.
Author : Dimitris Bertsimas
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Method written by Dimitris Bertsimas and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We address the problem of scheduling a multi-station multiclass queueing network (MQNET) with server changeover times to minimize steady-state mean job holding costs. We present new lower bounds on the best achievable cost that emerge as the values of mathematical programming problems (linear, semidefinite, and convex) over relaxed formulations of the system's achievable performance region. The constraints on achievable performance defining these formulations are obtained by formulating system's equilibrium relations. Our contributions include: (1) a flow conservation interpretation and closed formulae for the constraints previously derived by the potential function method; (2) new work decomposition laws for MQNETs; (3) new constraints (linear, convex, and semidefinite) on the performance region of first and second moments of queue lengths for MQNETs; (4) a fast bound for a MQNET with N customer classes computed in N steps; (5) two heuristic scheduling policies: a priority-index policy, and a policy extracted from the solution of a linear programming relaxation.
Author : Gideon Weiss
Publisher : Cambridge University Press
ISBN 13 : 1108415326
Total Pages : 447 pages
Book Rating : 4.1/5 (84 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 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.
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 : 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 : Lawrence M Wein
Publisher : Palala Press
ISBN 13 : 9781341890093
Total Pages : 80 pages
Book Rating : 4.8/5 (9 download)
Download or read book Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic written by Lawrence M Wein and published by Palala Press. This book was released on 2015-09-07 with total page 80 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.
Author : Lawrence M. Wein
Publisher : Forgotten Books
ISBN 13 : 9780365647829
Total Pages : 78 pages
Book Rating : 4.6/5 (478 download)
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.
Author : Chang Su
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (129 download)
Download or read book Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks written by Chang Su and published by . This book was released on 2004 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David R. McDonald
Publisher : American Mathematical Soc.
ISBN 13 : 0821819917
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Jayachandran Sethuraman
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (448 download)
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:
Author : Dorit Hochbaum
Publisher : Springer
ISBN 13 : 3540484132
Total Pages : 297 pages
Book Rating : 4.5/5 (44 download)
Download or read book Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques written by Dorit Hochbaum and published by Springer. This book was released on 2004-04-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'99, held jointly with the Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX'99, in Berkeley, California in August 1999. The volume presents 24 revised full papers selected from 44 submissions and four invited contributions. The papers present a wealth of new results and document the state-of-the-art in the areas covered by the workshop.
Author : Rainer Burkard
Publisher : Springer Science & Business Media
ISBN 13 : 9783540633976
Total Pages : 538 pages
Book Rating : 4.6/5 (339 download)
Download or read book Algorithms - ESA '97 written by Rainer Burkard and published by Springer Science & Business Media. This book was released on 1997-08-27 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th Annual International European Symposium on Algorithms, ESA'97, held in Graz, Austria, September 1997. The 38 revised full papers presented were selected from 112 submitted papers. The papers address a broad spectrum of theoretical and applicational aspects in algorithms theory and design. Among the topics covered are approximation algorithms, graph and network algorithms, combinatorial optimization, computational biology, computational mathematics, data compression, distributed computing, evolutionary algorithms, neural computing, online algorithms, parallel computing, pattern matching, and others.
