Optimization Proceedings of the 9th Belgian-French-German Conference

The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year

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Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Femuniversitat Hagen Feithstr. 140/AVZ II, D-58084 Hagen, Germany Prof. Dr. W. Trockel Institut fUr Mathematische Wirtschaftsforschung (IMW) Universitat Bielefeld Universitatsstr. 25, D-33615 Bielefeld, Germany

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Van Hien Nguyen Jean-Jacques Strodiot Patricia Tossings

Optimization Proceedings of the 9th Belgian-FrenchGerman Conference on Optimization N amur, September 7-11, 1998

Springer

Editors: Prof. Van Hien Nguyen Prof. Jean-Jacques Strodiot U ni versity of N amur Department of Mathematics Rue de Bruxelles 61 5000 Namur, Belgium Dr. Patricia Tossings University of Liege Institut de Mathematiques (B37) Grande Traverse 12 4000 Liege, Belgium Library of Congress Cataloging-in-Publication Data French-Gennan Conference on Optimization (9th: 1996: Namur, Belgium) Optimization: proceedings of the 9th Belgian-French-Gennan Conference on Optimization, Namur, September 7-11, 1998/ Van Hien Nguyen, Jean-Jacques Strodiot, Patricia Tossings (eds.). p. cm. -- (Lecture notes in economics and mathematical systems, ISSN 0075-8442; 481) Includes bibliographical references. ISBN 3540669051 (softcover: alk. paper) I. Mathematical optimization--Congresses. I. Nguyen, Van Hien, 1943- II. Strodiot, Jean-Jacques, 1944- III. Tossings, Patricia, 1964- IV. Title. V. Series. QA402.5 .F736 1996b 519.3--dc21

99-059997

ISSN 0075-8442 ISBN 3-540-66905-1 Springer-Verlag Berlin Heidelberg New York 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, re-use of illustrations, recitation, broadcasting, reproduction on microfilms 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-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag is a company in the specialist publishing group BertelsmannSpringer © Springer-Verlag Berlin Heidelberg 2000 Printed in Germany 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. Typesetting: Camera ready by author Printed on acid-free paper SPIN: 10734473

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Preface

The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year, in accordance with the organizers' wishes, a third country, Belgium, has joined the founding members of the Conference. Hence