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Table of Contents
Intro
Preface
Contents
About the Author
Chapter 1: Introduction to GAMS
1.1 Introduction
1.2 The Syntax of the GAMS Model
1.2.1 An Illustrative Example
1.2.2 Compiling the Model
1.2.3 Analysing the Results
1.3 Importing Data into GAMS
1.4 Loops in GAMS
1.4.1 Presenting the Results
Chapter 2: Introduction to Data Envelopment Analysis
2.1 Introduction
2.2 Envelopment Models
2.2.1 Illustrative Examples
2.2.2 GAMS Implementation
2.2.3 The CRS DEA Model
2.2.4 The VRS DEA Model
2.2.5 Projected Values and Targets
2.3 Multiplier Models
2.3.1 The CRS DEA Model
2.3.2 The VRS DEA Model
2.4 Assurance Regions/Weight Restrictions
2.5 Most Productive Scale Size
2.6 Super-Efficiency Models
Chapter 3: Extensions of DEA Models
3.1 Introduction
3.2 Exogenously Fixed Variables
3.2.1 DEA CRS Model
3.2.2 DEA VRS Model
3.3 Undesirable Outputs
3.4 Congestion in DEA
3.4.1 Congestion Index
3.4.2 Congestion with Slack Variables
3.5 Categorical Variables in DEA
3.6 Chance-Constrained DEA Model
3.6.1 The Modelling of Chance Constraints
3.6.2 Stochastic Efficiency in Marginal Chance-Constrained Models
Chapter 4: Non-radial DEA Models
4.1 Introduction
4.2 Non-radial CRS DEA
4.3 Non-radial VRS DEA
4.4 Range-Adjusted Measure Model
4.4.1 RAM CRS DEA Model
4.4.2 RAM VRS DEA Model
4.5 Negative Data in DEA
4.5.1 The Range Directional Model
4.5.2 The Modified Slacks-Based Model
4.5.3 The Semi-Oriented Radial Measure
Chapter 5: Allocative, Cost, Technical, Revenue, and Profit Efficiency
5.1 Introduction
5.2 Allocative and Cost Efficiency
5.2.1 Data for Cost Efficiency
5.2.2 GAMS Formulation for Allocative and Cost Efficiency
5.3 Revenue and Technical Efficiency
5.3.1 Data for Revenue Efficiency
5.3.2 GAMS Formulation for Revenue Efficiency
5.4 Profit Efficiency
5.4.1 GAMS Formulation for Profit Efficiency
Chapter 6: Special Cases in DEA
6.1 Introduction
6.2 Benefit-of-the-Doubt
6.2.1 Data for the BoD Example
6.2.2 GAMS Formulation for BoD
6.3 Multi-objective Linear Programming in DEA
6.3.1 Data for MOLP in DEA
6.3.2 Scenarios for Weights for MOLP in DEA
6.3.3 GAMS Formulation for MOLP in DEA
Chapter 7: Productivity Change
7.1 Introduction
7.2 Calculation of the Malmquist Productivity Index
7.2.1 Data for the Calculation of MPI
7.2.2 GAMS Formulation for MPI
7.3 Calculation of the Malmquist-Luenberger Productivity Index
7.3.1 Data for the Calculation of MLPI
7.3.2 GAMS Formulation for MLPI
Chapter 8: Concluding Remarks
8.1 Introduction
8.2 General Algebraic Modelling System
8.3 Data Envelopment Analysis Models
8.3.1 Conventional DEA
8.3.2 Productivity Change
8.4 Data Envelopment Analysis Software
8.5 GAMS for Data Envelopment Analysis
Preface
Contents
About the Author
Chapter 1: Introduction to GAMS
1.1 Introduction
1.2 The Syntax of the GAMS Model
1.2.1 An Illustrative Example
1.2.2 Compiling the Model
1.2.3 Analysing the Results
1.3 Importing Data into GAMS
1.4 Loops in GAMS
1.4.1 Presenting the Results
Chapter 2: Introduction to Data Envelopment Analysis
2.1 Introduction
2.2 Envelopment Models
2.2.1 Illustrative Examples
2.2.2 GAMS Implementation
2.2.3 The CRS DEA Model
2.2.4 The VRS DEA Model
2.2.5 Projected Values and Targets
2.3 Multiplier Models
2.3.1 The CRS DEA Model
2.3.2 The VRS DEA Model
2.4 Assurance Regions/Weight Restrictions
2.5 Most Productive Scale Size
2.6 Super-Efficiency Models
Chapter 3: Extensions of DEA Models
3.1 Introduction
3.2 Exogenously Fixed Variables
3.2.1 DEA CRS Model
3.2.2 DEA VRS Model
3.3 Undesirable Outputs
3.4 Congestion in DEA
3.4.1 Congestion Index
3.4.2 Congestion with Slack Variables
3.5 Categorical Variables in DEA
3.6 Chance-Constrained DEA Model
3.6.1 The Modelling of Chance Constraints
3.6.2 Stochastic Efficiency in Marginal Chance-Constrained Models
Chapter 4: Non-radial DEA Models
4.1 Introduction
4.2 Non-radial CRS DEA
4.3 Non-radial VRS DEA
4.4 Range-Adjusted Measure Model
4.4.1 RAM CRS DEA Model
4.4.2 RAM VRS DEA Model
4.5 Negative Data in DEA
4.5.1 The Range Directional Model
4.5.2 The Modified Slacks-Based Model
4.5.3 The Semi-Oriented Radial Measure
Chapter 5: Allocative, Cost, Technical, Revenue, and Profit Efficiency
5.1 Introduction
5.2 Allocative and Cost Efficiency
5.2.1 Data for Cost Efficiency
5.2.2 GAMS Formulation for Allocative and Cost Efficiency
5.3 Revenue and Technical Efficiency
5.3.1 Data for Revenue Efficiency
5.3.2 GAMS Formulation for Revenue Efficiency
5.4 Profit Efficiency
5.4.1 GAMS Formulation for Profit Efficiency
Chapter 6: Special Cases in DEA
6.1 Introduction
6.2 Benefit-of-the-Doubt
6.2.1 Data for the BoD Example
6.2.2 GAMS Formulation for BoD
6.3 Multi-objective Linear Programming in DEA
6.3.1 Data for MOLP in DEA
6.3.2 Scenarios for Weights for MOLP in DEA
6.3.3 GAMS Formulation for MOLP in DEA
Chapter 7: Productivity Change
7.1 Introduction
7.2 Calculation of the Malmquist Productivity Index
7.2.1 Data for the Calculation of MPI
7.2.2 GAMS Formulation for MPI
7.3 Calculation of the Malmquist-Luenberger Productivity Index
7.3.1 Data for the Calculation of MLPI
7.3.2 GAMS Formulation for MLPI
Chapter 8: Concluding Remarks
8.1 Introduction
8.2 General Algebraic Modelling System
8.3 Data Envelopment Analysis Models
8.3.1 Conventional DEA
8.3.2 Productivity Change
8.4 Data Envelopment Analysis Software
8.5 GAMS for Data Envelopment Analysis