Data Envelopment Analysis
Second Edition
DATA ENVELOPMENT ANALYSIS
A Comprehensive Text with Models,
Applications, References
and DEA-Solver Software
Second Edition
WILLIAM W. COOPER
University of Texas at Austin,
U.S.A.
LAWRENCE M. SEIFORD
University of IVIichigan,
U.S.A.
KAORU TONE
National Graduate Institute for Policy Studies, Japan
bprmger
William
W.
Cooper Lawrence
M.
Seiford
University of
Texas,
USA University of
Michigan,
USA
Kaoru Tone
National Graduate Institute for Policy Studies, Japan
Library of Congress Control Number: 2006932712
ISBN-10: 0-387-45281-8 (HB) ISBN-10: 0-387-45283-4 (e-book)
ISBN-13:
978-0387-45281-4 (HB) ISBN-13: 978-0387-45283-8 (e-book)
Printed on acid-free paper.
© 2007 by Springer Science+Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in
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springer.com
To
Ruth, Bev and Michiko
Contents
List of Tables xvii
List of Figures xxi
Preface xxv
1.
GEIMERAL DISCUSSION 1
1.1 Introduction 1
1.2 Single Input and Single Output 2
1.3 Two Inputs and One Output Case 6
1.4 One Input and Two Outputs Case 8
1.5 Fixed and Variable Weights 12
1.6 Summary and Conclusion 13
1.7 Problem Supplement for Chapter 1 15
2.
BASIC CCR MODEL 21
2.1 Introduction 21
2.2 Data 22
2.3 The CCR Model 23
2.4 From a Fractional to a Linear Program 23
2.5 Meaning of Optimal Weights 25
2.6 Explanatory Examples 25
2.6.1 Example 2.1 (1 Input and 1 Output Case) 26
2.6.2 Example 2.2 (2 Inputs and 1 Output Case) 27
2.7 Illustration of Example 2.2 30
2.8 Summary of Chapter 2 32
2.9 Selected Bibliography 33
2.10 Problem Supplement for Chapter 2 34
3. CCR MODEL AND PRODUCTION CORRESPONDENCE 41
3.1 Introduction 41
3.2 Production Possibility Set 42
3.3 The CCR Model and Dual Problem 43
3.4 The Reference Set and Improvement in Efficiency 47
