Applied Discrete-Time Queues
This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most que
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Applied DiscreteTime Queues Second Edition
Applied Discrete-Time Queues
Attahiru S. Alfa
Applied Discrete-Time Queues Second Edition
123
Attahiru S. Alfa Department of Electrical and Computer Engineering University of Manitoba Winnipeg, Manitoba, Canada Department of Electrical, Electronic and Computer Engineering University of Pretoria Pretoria, South Africa
ISBN 978-1-4939-3418-8 ISBN 978-1-4939-3420-1 (eBook) DOI 10.1007/978-1-4939-3420-1 Library of Congress Control Number: 2015955725 Springer New York Heidelberg Dordrecht London © Springer Science+Business Media New York 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer Science+Business Media LLC New York is part of Springer Science+Business Media (www. springer.com)
This is dedicated to all who have supported me in one way or another during my academic journey, and specifically to all my parents, my wife, my children and my grandchildren.
Preface
This book started as a combination of two of my ideas • A revision to the first book, which I now call the first edition; Queueing Theory for Telecommunications: Discrete Time Modelling of a Single Node System, including rearrangement of material and corrections of errors that were found, and • Some new and significant additions that make the book more complete. The additions are; 1. A new chapter on Special single node queueing models, which include; LCFS, SIRO, Pair formation, and Finite source queue 2. A new chapter on Queues with Time Varying Parameters 3. A new chapter on Tandem Queues and Queueing Networks 4. A new chapter on Optimization and Control of Discrete Time Queues 5. A new subsection on Review of Probability for Discrete Random Variables and Matrices 6. A new subsection on Censored Markov Chains 7. A new subsection on Special Types of QBDs 8. A new subsection on PH/PH/1 System with Start-up Times 9. A new subsection on Queues with Very Large Buffers 10. A new subsection on Geo/G/∞ Systems 11. An Appendix for z
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