Elementary Properties of Clock-Regulated Queues (Classic Reprint) - Couverture souple

Name: Elementary Properties of Clock-Regulated Queues (Classic Reprint)
Author: Percus, Ora E.
ISBN: 9781332871469

Percus, Ora E.

9781332871469: Elementary Properties of Clock-Regulated Queues (Classic Reprint)

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ISBN 10 : 1332871461 ISBN 13 : 9781332871469

Editeur : Forgotten Books, 2018

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Learn how clock-regulated queues work, from simple single queues to finite-capacity models, with clear math you can apply.

This book examines how messages move through network switches and queues when service times are fixed and inputs follow simple probabilistic rules. It treats the infinite-capacity case as a random walk on the nonnegative integers, then extends the idea to the output process and the first-return behavior. The discussion blends exact difference equations with generating functions to reveal steady-state distributions and waiting-time properties. It also contrasts two finite-capacity queue models, showing how boundary conditions alter performance in practical settings.

Readers will see how to translate queue behavior into solvable mathematical forms, understand the role of i.i.d. inputs, and compare single- and multi-stage systems. The text emphasizes the relationships between queue length, waiting time, and output clusters, providing a toolkit for analyzing similar stochastic systems.

How a queue can be modeled as a random walk on a half-line and solved with generating functions
Methods for deriving steady-state distributions and moments of waiting time
Characterization of the output process and the distribution of output clusters
Two finite-capacity models and their different boundary conditions

Ideal for readers of stochastic processes, operations research, and applied probability who want concrete techniques for queue analysis.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332871461
ISBN 13: 9781332871469
Reliure: Broch�
Nombre de pages: 25
Coordonn�es du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
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Elementary Properties of Clock-Regulated Queues (Classic Reprint)

Ora E. Percus, J. K. Percus

Edit� par Forgotten Books, 2018

ISBN 10 : 1332871461 ISBN 13 : 9781332871469

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of clock-regulated queues, a crucial component in the large-scale computer networks of today. A unique type of queueing system emerges from this book, contrasting with the conventional continuous time queues. The author meticulously investigates the behavior of such a queue, particularly when an infinite number of messages flow into the system. The mathematical models developed here provide a precise framework for analyzing single-server queues within these networks. The author's approach combines queuing theory with random walk principles, resulting in groundbreaking equations that describe how queues of both infinite and finite capacities operate. These discoveries contribute to the understanding of how networks handle input streams, transforming them into varying output streams. Additionally, the book explores the statistical distribution of waiting times, an essential factor in network efficiency. The author also sheds light on the characteristics of output processes, uncovering patterns in the timing of message departure from the queue. Through rigorous mathematical analysis, this book expands our comprehension of clock-regulated queues. Its insights pave the way for further advancements in network design and performance optimization, particularly in the realm of large-scale digital computers, and ultimately contribute to the seamless flow of information in our increasingly interconnected world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332871469_0

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