Global Optimization A Stochastic Approach
This self-contained monograph presents a new stochastic approach to global optimization problems arising in a variety of disciplines including mathematics, operations research, engineering, and economics. The volume deals with constrained and unconstraine
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Stefan Sch¨affler
Global Optimization A Stochastic Approach
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Stefan Sch¨affler Universit¨at der Bundeswehr M¨unchen Fakult¨at f¨ur Elektro- und Informationstechnik, EIT1 Werner-Heisenberg-Weg 39 Neubiberg, Germany
ISSN 1431-8598 ISBN 978-1-4614-3926-4 ISBN 978-1-4614-3927-1 (eBook) DOI 10.1007/978-1-4614-3927-1 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012939855 Mathematics Subject Classification (2010): 90C26, 90C15, 90C90, 65C30, 65D30, 60H10, 60H35, 60H40 © Springer Science+Business Media New York 2012 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Utinam exitus acta probet
Global optimization plays an outstanding role in applied mathematics, because a huge number of problems arising in natural sciences, engineering, and economics can be formulated as global optimization problems. It is impossible to overlook the literature dealing with the subject. This is due to the fact that-unlike local optimization-only small and very special classes of global optimization problems have been investigated and solved using a variety of mathematical tools and numerical approximations. In summary, global optimization seems to be a very inhomogeneous discipline
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