Introduction to data envelopment analysis and its uses : with DEA-solver software and references /
Cooper, William W.
Introduction to data envelopment analysis and its uses : with DEA-solver software and references / William W. Cooper, Lawrence M. Seiford, Kaoru Tone. - New York : Springer, c2006. - xxxiv, 354 p. : ill. ; 23 cm. + 1 CD-ROM (4 3/4 in.)
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 --
9780387285801
Data envelopment analysis.
300.15195
Introduction to data envelopment analysis and its uses : with DEA-solver software and references / William W. Cooper, Lawrence M. Seiford, Kaoru Tone. - New York : Springer, c2006. - xxxiv, 354 p. : ill. ; 23 cm. + 1 CD-ROM (4 3/4 in.)
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 --
9780387285801
Data envelopment analysis.
300.15195