Introductory Operations Research Theory and Applications
This introductory text provides undergraduate and graduate students with a concise and practical introduction to the primary concepts and techniques of optimization. Practicing engineers and managers will also find useful its concentration on problems and
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Harvir Singh Kasana . Krishna Dev Kumar
Introductory Operations Research Theory and Applications
With 58 Figures
~ Springer
Prof. Dr. Harvir Singh Kasana Thapar Institute Engineering and Technology Department of Mathematics 147001 Patiala India
Dr. Krishna Dev Kumar Korea Advanced Institute of Science and Technology Department of Aerospace Engineering Kusong-dong 373-1, Yusong-gu 305-701 Taejon Republic of Korea [email protected]
Library of Congress Control Number: 2004106672
ISBN 978-3-642-07270-3 ISBN 978-3-662-08011-5 (eBook) DOI 10.1007/978-3-662-08011-5 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 other ways, and storage in data banks. Duplication of this publication or parts thereofis 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 Berlin Heidelberg GmbH. Violations are liable to prosecution under German Copyright Law. springeronline.com © Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg N ew York in 2004 Softcover reprint of the hardcover 1st edition 2004
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: Digital data supplied by editors Cover-Design: deblik, Berlin 6213020 Rw 5432 1 0 Printed on acid-free paper
Preface This book is an outcome of the lectures delivered by the authors for engineering and management students at the Birla Institute of Technology and Science, Pilani, India. However, the text started when the author shifted to the Thapar Institute of Engineering and Technology, Patiala and the coauthor shifted to the Indian Institute of Technology, Kanpur. During the teaching of this course, the authors realized a need of a good text on "Optimization Research" and its applications which may give comprehensive idea of various concepts and can be used as a companion for problem solving techniques. The primary purpose of this text is to bring this new mathematical formalism into the education system, not merely for its own sake, but as a basic framework for characterizing the full scope of the concept of modern approach. The authors have tried all contents of this book utilizing four hours a week in one semester as a core course. The level of this book assumes that the reader is well acquainted with elementary calculus and linear algebra. Being a textbook, we have taken enough care so that the reader may attempt different type of problems. Anyone who aspires to some managerial assignment or who is a part of decision making body will find an understanding of optimization techniques v
