Dynamics of Data Envelopment Analysis Theory of Systems Efficiency
Data envelopment analysis develops a set of nonparametric and semiparametric techniques for measuring economic efficiency among firms and nonprofit organizations. Over the past decade this technique has found most widespread applications in public sector
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DYNAMICS OF DATA ENVELOPMENT ANALYSIS Theory of Systems Efficiency
by
JATI K. SENGUPTA Department of Economics and Operations Research, University of California, Santa Barbara, California, U.S.A .
,..... Springer-Science+Business Media, B.Y.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-4582-9 ISBN 978-94-015-8506-4 (eBook) DOI 10.1007/978-94-015-8506-4
Printed on acid-free paper
All Rights Reserved
© 1995 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1995. Softcover reprint ofthe hardcover 1st edition 1995 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.
To
SRI RAMAKRISHNA AND DOL Y MOTHER
CONTENTS PREFACE
1.
THEORY OFDEAMODELS
1.1
1.2
1.3 1.4 1.5 1.6 2.
Statics and Dynamics Short-run vs. long run A. Adjustment cost model B. Technological change C. A control system model D. Types of Efficiency Scale efficiency A. B. Allocative efficiency Structural efficiency C. Stochastic efficiency D. Models of Systems Efficiency Efficiency Distributions Applying DEA Models Outline of the Book
1 3 7 9 9 11 12 13
15 17 22 25 30 32 34
DYNAMICS OF EFFICIENCY
38
2.1 2.2 2.3 2.4
39 43 47 55 55 57 58 60 65 74
2.5 2.6 3.
Xl
Expansion Frontier and Allocative Efficiency Dynamic Production Frontiers Comparing Statics and Dynamics Concept of Efficiency in DEA Models Efficiency in control systems A. Efficiency with integrated processes B. System reliability and efficiency C. D. Vector efficiency Efficiency Analysis by Optimal Control Transformations of the Dynamic Model
TECHNICAL CHANGE AND EFFICIENCY
3.1 3.2 3.3 3.4 3.5 3.6
Forms of Technical Change Change in input parameters A. B. Cumulative output and efficiency A Continuous Model of Efficiency A Model of Cumulative Output Scope of Applications Structural Change Dynamics of Capacity Utilization
86 86 87 94 100 110 113 119 121
viii
4.
CONTENTS
STOCHASTIC EFFICIENCY
133
4.1 4.2 4.3 4.4 4.5
136 142 144 147 162 162 166 169 171
4.6 5.
THEORY OF SYSTEMS EFFICIENCY
179
5.1 5.2
180 187 191 193 196 200 202
5.3
5.4
6.
Input-Output and Control Systems Flexible Manufacturing Systems Example 1: A model of flexible investment Example 2: An entropy model of flexibility Example 3: Production planning under learning Example 4: A DEA model of economies of scope Stochastic Efficiency and Reliability Example 5: A DEA model of reliability and efficiency Example 6: Model of reliability improvement Technical Change and Diffusion Example 7: Dynamic production frontier Example 8: A model of evolutionary efficiency
ENTROPY, EFFICIENCY AND THE INDEX NUMBERS 6.1 6.2
6.3 6.4 6.5 7.
Efficiency Distribution Under Outliers Chance-constrained Efficiency Models of Efficiency Distribution Econometrics of Efficiency Frontier Efficiency Bas
