Developments in Global Optimization
In recent years global optimization has found applications in many interesting areas of science and technology including molecular biology, chemical equilibrium problems, medical imaging and networks. The collection of papers in this book indicates the di
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Nonconvex Optimization and Its Applications Volume 18
Managing Editors: Panos Pardalos University of Florida, U.S.A.
Reiner Horst University of Trier, Germany
Advisory Board: Ding-Zhu Du University of Minnesota, U.S.A.
C.A. Floudas Princeton University, U.S.A.
G.lnfanger Stanford University, U.S.A.
J. Mockus Lithuanian Academy of Sciences, Lithuania
P.D. Panagiotopoulos Aristotle University, Greece
H.D. Sherali Virginia Polytechnic Institute and State University, U.S.A.
Developments in Global Optimization Edited by
Immanuel M. Bornze University ojVienna, Vienna, Austria
Tibor Csendes Jozsej Attita University, Szeged, Hungary
Reiner Horst University ojTrier, Trier, Germany
and
Panos M. Pardalos University oj Florida, Gainesville, Florida, U.S.A.
Springer-Science+Business Media, B.Y.
Library of Congress Cataloging-in-Publication Data
Developments in global optimization / Immanuel M. Bomze ... let a1.1. p. cm. -- (Nonconvex optimization and its appl ications ; v. 18) 1. Mathematical optimization. I. Bomze. Immanuel M.• 1958OA402.5.D484 1997 519.7'6--dc21
2. Nonlinear programming. II. Series. 96-49521
ISBN 978-1-4419-4768-0 ISBN 978-1-4757-2600-8 (eBook) DOI 10.1007/978-1-4757-2600-8
Printed on acid-free paper
All Rights Reserved © 1997 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1997. Softcover reprint of the hardcover 1st edition 1997 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
"For this shall never be proved, that the things that are not are; and do thou restrain thy thought from this way of inquiry ".
- Parmenides (Translated 1892 by John Burnet)
CONTENTS
PREFACE
xi
NOP - A COMPACT INPUT FORMAT FOR NONLINEAR OPTIMIZATION PROBLEMS A. Neumaier
1
GLOPT - A PROGRAM FOR CONSTRAINED GLOBAL OPTIMIZATION S. Dallwig, A. Neumaier and H. Schichl
19
GLOBAL OPTIMIZATION FOR IMPRECISE PROBLEMS M.N. Vrahatis, D. G. Sotiropoulos and E. C. Triantafyllou
37
NEW RESULTS ON GAP-TREATING TECHNIQUES IN EXTENDED INTERVAL NEWTON GAUSS-SEIDEL STEPS FOR GLOBAL OPTIMIZATION D. Ratz
55
QUADRATIC PROGRAMMING WITH BOX CONSTRAINTS P.L. De Angelis, P.M. Pardalos and G. Toraldo
EVOLUTIONARY APPROACH TO THE MAXIMUM CLIQUE PROBLEM: vii
73
viii
CONTENTS
EMPIRICAL EVIDENCE ON A LARGER SCALE I. Bomze, M. Pelillo and R. Giacomini
95
INTERVAL AND BOUNDING HESSIANS C. Stephens
109
ON GLOBAL SEARCH FOR NON-CONVEX OPTIMAL CONTROL PROBLEMS A. Strekalovsky and 1. Vasiliev
121
A MULTISTART LINKAGE ALGORITHM USING FIRST DERIVATIVES C.J. Price
135
CONVERGENCE SPEED OF AN INTEGRAL METHOD FOR COMPUTING THE ESSENTIAL SUPREMUM J. Hichert, A. Hoffmann and H.X. PM
153
COMPLEXITY ANALYSIS INTEGRATING PURE ADAPTIVE SEARCH (PAS) AND PURE RANDOM SEARCH (PRS) Z.B. Zabinsky and B.P. Kristinsdottir
171
LGO - A PROGRAM SYSTEM FOR CON
