Advances in Sensitivity Analysis and Parametic Programming
The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbo
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INTERNATIONAL SERIES IN OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Frederick S. Hillier, Series Editor Department of Operations Research Stanford University Stanford, California
Saigal, Romesh The University of Michigan LINEAR PROGRAMMING: A Modern Integrated Analysis
Nagumey, Anna! Zhang, Ding University of Massachusetts @ Amherst PROJECTED DYNAMICAL SYSTEMS AND VARIATIONAL INEQUALITIES WITH APPLICATIONS
Padberg, Manfredi Rijal, Minendra P. New York University LOCATION, SCHEDULING, DESIGN AND INTEGER PROGRAMMING
Vanderbei, Robert J. Princeton University LINEAR PROGRAMMING: Foundations and Extensions
Jaiswal, N.K. Ministry of Defense, INDIA MILITARY OPERATIONS RESEARCH: Quantitative Decision Making
ADVANCES IN SENSITIVITY ANALYSIS AND PARAMETIC PROGRAMMING
edited by
Tomas Gal FernUniversitat, Hagen, Germany
Harvey J. Greenberg University of Colorado at Denver, Colorado, USA
" ~.
Springer Science+Business Media, LLC
ISBN 978-1-4613-7796-2 ISBN 978-1-4615-6103-3 (eBook) DOI 10.1007/978-1-4615-6103-3 Library of Congress Cataloging-in-Publication Data A C.I.P. Catalogue record for this book is available from the Library ofCongress.
Copyright © 1997 by Springer Science+Business Media New York Originally published by Kluwer Academic Publishers in 1997 Softcover reprint of the hardcover 1st edition 1997 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher, Springer Science+Business Media, LLC. Printed on acid-free paper.
CONTENTS Foreword Preface Acknowledgements Abont the Authors
vii ix xi xiii
1.
A Historical Sketch on Sensitivity Analysis and Parametric Programming Tomas Gal
1-1 - 1-10
2.
A Systems Perspective: Entity Set Graphs Heiner Muller-Merbach
2-1 - 2-45
3.
Linear Programming 1: Basic Principles Harvey J. Greenberg
3-1 - 3-44
4.
Linear Programming 2: Degeneracy Graphs Tomas Gal
4-1 - 4-36
5.
Linear Programming 3: The Tolerance Approach Richard E. Wendell
5-1 - 5-21
6.
The Optimal Set and Optimal Partition Approach Arjan B. Berkelaar, Kees Roos and Tamas Tedaky
6-1 - 6-45
7.
Network Models Gerald L. Thompson
7-1 - 7-34
8.
Qualitative Sensitivity Analysis Antoine Gautier, Daniel Granot and Frieda Granot
8-1 - 8-53
9.
Integer and Mixed-Integer Programming Charles Blair
9-1 - 9-25
10.
Nonlinear Programming Arne Stolbjerg Drud and Leon Lasdon
10-1 - 10-46
vi 11.
Multi-Criteria and Goal Programming Jerald Dauer and Yi-Hsin Liu
11-1 - 11-31
12.
Stochastic Programming and Robust Optimization Hercules Vladimirou and Stavros A. Zenios
12-1 - 12-53
13.
Redundancy Richard J. Caron, Amon Boneh, and Shahar Boneh
13-1 - 13-41
14.
Feasibility and Viability John W. Chinneck
14-1 - 14-41
15.
Fuzzy Mathematical Programming Hans-liirgen Zimmermann
15-1 - 15-40
Index
1-1
FOREWORD The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into de
