Sequential Approximate Multiobjective Optimization Using Computational Intelligence

This book highlights a new direction of multiobjective optimzation, which has never been treated in previous publications. When the function form of objective functions is not known explicitly as encountered in many practical problems, sequential app

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Hirotaka Nakayama Yeboon Yun Min Yoon

Sequential Approximate Multiobjective Optimization Using Computational Intelligence 123

Sequential Approximate Multiobjective Optimization Using Computational Intelligence Series Editor: Johannes Jahn University of Erlangen-Nürnberg Department of Mathematics Martensstr. 3 81058 Erlangen Germany [email protected]

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.

Hirotaka Nakayama

·

Yeboon Yun

·

Min Yoon

Sequential Approximate Multiobjective Optimization Using Computational Intelligence

123

Professor Hirotaka Nakayama Dept. of Intelligence and Informatics Konan University 8-9-1 Okamoto, Higashinada Kobe 658-8501 Japan

Assistant Professor Min Yoon Division of Mathematical Science Pukyong National University 599 Daeyeon 3-dong, Nam-gu Busan 608-737 Korea

Associate Professor Yeboon Yun Dept. of Reliability-based Information System Engineering Faculty of Engineering Kagawa University 2217-20 Hayashi-cho Takamatsu Kagawa 761-0396 Japan

ISBN 978-3-540-88909-0

e-ISBN 978-3-540-88910-6

DOI 10.1007/978-3-540-88910-6 Springer Series in Vector Optimization ISSN 1867-8971 Library of Congress Control Number: 2008943999 c Springer-Verlag Berlin Heidelberg 2009  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper springer.com

Preface

Many kinds of practical problems such as engineering design, industrial management and financial investment have multiple objectives conflicting with each other. Those problems can be formu