Foundations of Network Optimization and Games
This is a book about infrastructure networks that are intrinsically nonlinear. The networks considered range from vehicular networks to electric power networks to data networks. The main point of view taken is that of mathematical programming in concert w
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Terry L. Friesz David Bernstein
Foundations of Network Optimization and Games
Complex Networks and Dynamic Systems Volume 3
Series Editor Terry L. Friesz Pennsylvania State University University Park, PA, USA
More information about this series at http://www.springer.com/series/8854
Terry L. Friesz
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David Bernstein
Foundations of Network Optimization and Games
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Terry L. Friesz Department of Industrial and Manufacturing Engineering Pennsylvania State University University Park, PA, USA
David Bernstein Department of Computer Science James Madison University Harrisonburg, VA, USA
ISSN 2195-724X ISSN 2195-7258 (electronic) Complex Networks and Dynamic Systems ISBN 978-1-4899-7593-5 ISBN 978-1-4899-7594-2 (eBook) DOI 10.1007/978-1-4899-7594-2 Library of Congress Control Number: 2015934441 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)
Preface
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his book is about computable mathematical models of infrastructure networks in decision environments that are primarily static or steady state in nature. The models considered are either mathematical programs or noncooperative mathematical games. The numerical methods considered include steepest descent, feasible direction, projection, fixed point, gap function, and computational intelligence algorithms. The book is a direct outgrowth of teaching and research we have done at Penn State, James Madison University, George Mason University, MIT, Princeton, and the University of Pennsylvania. It is meant for use by students in civil engineering, industrial engineering, systems engineering, and operations research as either a primary or secondary textbook. It is also a reference for researchers specializing in the design and operation of transportation, water resource, telecommunications, and/or ene
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