TY - BOOK AU - Cooper,William W. TI - Introduction to data envelopment analysis and its uses : with DEA-solver software and references SN - 9780387285801 U1 - 300.15195 PY - 2006/// CY - New York PB - Springer KW - Data envelopment analysis N1 - Rev. ed. of: Data envelopment analysis. c2000; Includes bibliographical references and indexes; 1. General discussion -- 1.1 Introduction -- 1.2 Single Input and Single Output -- 1.3 Two Inputs and One Output Case -- 1.4 One Input and Two Outputs Case -- 1.5 Fixed and Variable Weights -- 1.6 Summary and Conclusion -- 1.7 Problem Supplement for Chapter 1 -- 2. Basic CCR model -- 2.1 Introduction -- 2.2 Data -- 2.3 The CCR Model -- 2.4 From a Fractional to a Linear Program -- 2.5 Meaning of Optimal Weights -- 2.6 Explanatory Examples -- 2.6.1 Example 2.1 (1 Input and 1 Output Case) -- 2.6.2 Example 2.2 (2 Inputs and 1 Output Case) -- 2.7 Illustration of Example 2.2 -- 2.8 Summary of Chapter 2 -- 2.9 Selected Bibliography -- 2.10 Problem Supplement for Chapter 2 -- 3. CCR model and production correspondence -- 3.1 Introduction -- 3.2 Production Possibility Set -- 3.3 The CCR Model and Dual Problem -- 3.4 The Reference Set and Improvement in Efficiency -- 3.5 Theorems on CCR-Efficiency -- 3.6 Computational Aspects of the CCR Model -- 3.6.1 Computational Procedure for the CCR Model -- 3.6.2 Data Envelopment Analysis and the Data -- 3.6.3 Determination of Weights (=Multipliers) -- 3.6.4 Reasons for Solving the CCR Model Using the Envelopment Form -- 3.7 Example -- 3.8 The Output-Oriented Model -- 3.9 Discretionary and Non-Discretionary Inputs -- 3.10 Summary of Chapter 3 -- 3.11 Notes and Selected Bibliography -- 3.12 Related DEA-Solver Models for Chapter 3 -- 3.13 Problem Supplement for Chapter 3 -- 4. Alternative DEA modelsS -- 4.1 Introduction -- 4.2 The BCC Models -- 4.2.1 The BCC Model -- 4.2.2 The Output-oriented BCC Model -- 4.3 The Additive Model -- 4.3.1 The Basic Additive Model -- 4.3.2 Translation Invariance of the Additive Model -- 4.4 A Slacks-Based Measure of Efficiency (SBM) -- 4.4.1 Definition of SBM -- 4.4.2 Interpretation of SBM as a Product of Input and Output Inefficiencies -- 4.4.3 Solving SBM -- 4.4.4 SBM and the CCR Measure -- 4.4.5 The Dual Program of the SBM Model -- 4.4.6 Oriented SBM Models -- 4.4.7 A Weighted SBM Model -- 4.4.8 Numerical Example (SBM) -- 4.5 Russell Measure Models -- 4.6 Summary of the Basic DEA Models -- 4.7 Summary of Chapter 4 -- 4.8 Notes and Selected Bibliography -- 4.9 Appendix: Free Disposal Hull (FDH) Models -- 4.10 Related DEA-Solver Models for Chapter 4 -- 4.11 Problem Supplement for Chapter 4 -- 5. Returns to scale -- 5.1 Introduction -- 5.2 Geometric Portrayals in DEA -- 5.3 BCC Returns to Scale -- 5.4 CCR Returns to Scale -- 5.5 Most Productive Scale Size -- 5.6 Further Considerations -- 5.7 Relaxation of the Convexity Condition -- 5.8 Decomposition of Technical Efficiency -- ER -