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ENGINEERING OPTIMIZATION -- Methods and Applications SECOND EDITION
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ENGINEERING OPTIMIZATION
Engineering Optimization: Methods and Applications, Second Edition. A. Ravindran, K. M. Ragsdell and
G. V. Reklaitis © 2006 John Wiley & Sons, Inc. ISBN: 978-0-471-55814-9
ENGINEERING
OPTIMIZATION
Methods and Applications
SECOND EDITION
A. Ravindran
Industrial and Manufacturing Engineering
Pennsylvania State University
K. M. Ragsdell
Engineering Management and Systems Engineering
University of Missouri–Rolla
G. V. Reklaitis
Chemical Engineering
Purdue University
John Wiley & Sons, Inc.
This book is printed on acid-free paper.嘷⬁
Copyright 䉷 2006 by John Wiley & Sons. All rights reserved
Published by John Wiley & Sons, Inc., Hoboken, New Jersey
Published simultaneously in Canada
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in
any form or by any means, electronic, mechanical, photocopying, recording, scanning, or
otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright
Act, without either the prior written permission of the Publisher, or authorization through
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Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at
www.copyright.com. Requests to the Publisher for permission should be addressed to the
Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030,
(201) 748-6011, fax (201) 748-6008, or online at http : //www.wiley.com/ go/ permission.
Limit of Liability/ Disclaimer of Warranty: While the publisher and the author have used their
best efforts in preparing this book, they make no representations or warranties with respect to
the accuracy or completeness of the contents of this book and specifically disclaim any implied
warranties of merchantability or fitness for a particular purpose. No warranty may be created or
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Library of Congress Cataloging-in-Publication Data:
Ravindran, A., 1944–
Engineering optimization: methods and applications /A. Ravindran, K. M. Ragsdell,
G. V. Reklaitis.—2nd ed.
p. cm.
Includes bibliographical references and indexes.
ISBN-13 978-0-471-55814-9 (cloth)
ISBN-10 0-471-55814-1 (cloth)
1. Engineering—Mathematical models. 2. Mathematical optimization. I. Ragsdell,
K. M. II. Reklaitis, G. V., 1942– III. Title.
TA342.R44 2006
620
⬘.0042—dc22
2005044611
Printed in the United States of America
10987654321
v
CONTENTS
Preface xiii
1 Introduction to Optimization 1
1.1 Requirements for the Application of Optimization
Methods / 2
1.1.1 Defining the System Boundaries / 2
1.1.2 Performance Criterion / 3
1.1.3 Independent Variables / 4
1.1.4 System Model / 5
1.2 Applications of Optimization in Engineering / 6
1.2.1 Design Applications / 8
1.2.2 Operations and Planning Applications / 15
1.2.3 Analysis and Data Reduction Applications / 20
1.2.4 Classical Mechanics Applications / 26
1.2.5 Taguchi System of Quality Engineering / 27
1.3 Structure of Optimization Problems / 28
1.4 Scope of This Book / 29
References / 30
2 Functions of a Single Variable 32
2.1 Properties of Single-Variable Functions / 32
2.2 Optimality Criteria / 35
2.3 Region Elimination Methods / 45
2.3.1 Bounding Phase / 46
2.3.2 Interval Refinement Phase / 48
2.3.3 Comparison of Region Elimination Methods / 53
2.4 Polynomial Approximation or Point Estimation Methods / 55
2.4.1 Quadratic Estimation Methods / 56
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