Numerical Methods
In Chap. 9 we give a survey on numerical approaches for solving vector optimization problems with a variable ordering structure. We provide algorithms for solving finite discrete as well as continuous vector optimization problems.
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Gabriele Eichfelder
Variable Ordering Structures in Vector Optimization
Vector Optimization Series Editor: Johannes Jahn University of Erlangen-Nürnberg Department of Mathematics Cauerstr. 11 81058 Erlangen Germany [email protected]
For further volumes: http://www.springer.com/series/8175
Vector Optimization The series in Vector Optimization contains publications in various fields of optimization with vector-valued objective functions, such as multiobjective optimization, multi criteria decision making, set optimization, vector-valued game theory and border areas to financial mathematics, biosystems, semidefinite programming and multiobjective control theory. Studies of continuous, discrete, combinatorial and stochastic multiobjective models in interesting fields of operations research are also included. The series covers mathematical theory, methods and applications in economics and engineering. These publications being written in English are primarily monographs and multiple author works containing current advances in these fields.
Gabriele Eichfelder
Variable Ordering Structures in Vector Optimization
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Gabriele Eichfelder Institut für Mathematik Technische Universität Ilmenau Ilmenau Germany
ISSN 1867-8971 ISSN 1867-898X (electronic) ISBN 978-3-642-54282-4 ISBN 978-3-642-54283-1 (eBook) DOI 10.1007/978-3-642-54283-1 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014936010 © Springer-Verlag Berlin Heidelberg 2014 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 res
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