Network data envelopment analysis : foundations and extensions / Chiang Kao.
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| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
[Cham] :
Springer,
[2016]
|
| Series: | International series in operations research & management science ;
v. 240. |
| Subjects: |
Table of Contents:
- Preface; Contents; About the Author; Chapter 1: Introduction; 1.1 History of Network DEA; 1.2 Basic Ideas of Efficiency Measurement; 1.3 Multi-input Case; 1.4 Multi-output Case; 1.5 Whole-Unit Analysis; 1.6 Network Analysis; 1.7 Supplementary Literature; References; Chapter 2: Output-Input Ratio Efficiency Measures; 2.1 CCR Model; 2.1.1 Input Model; 2.1.2 Output Model; 2.2 BCC Model; 2.2.1 Input Model; 2.2.2 Output Model; 2.3 Restrictions on Multipliers; 2.4 Ranking; 2.5 Supplementary Literature; References; Chapter 3: Distance Function Efficiency Measures; 3.1 Production Possibility Set.
- 3.2 Input Distance Function3.3 Output Distance Function; 3.4 Directional Distance Function; 3.5 Supplementary Literature; References; Chapter 4: Slacks-Based Efficiency Measures; 4.1 Additive Model; 4.2 Russell Measures; 4.2.1 Input Model; 4.2.2 Output Model; 4.2.3 Input-Output Average Model; 4.3 Russell Ratio Model; 4.4 A Classification of Efficiency Measures; 4.5 Supplementary Literature; References; Chapter 5: Efficiency Measurement in Special Production Stages; 5.1 Multiplicative Model; 5.1.1 Variable Returns to Scale; 5.1.2 Constant Returns to Scale; 5.2 Free Disposal Hull.
- 5.2.1 General Case5.2.2 Constant Returns to Scale; 5.3 Congestion; 5.3.1 Weak Disposability Model; 5.3.2 Slack-Measure Model; 5.3.3 Input-Fixing Model; 5.3.4 Comparison; 5.4 Supplementary Literature; References; Chapter 6: Special Types of Input and Output Factors; 6.1 Non-discretionary Factors; 6.1.1 Input Model; 6.1.2 Output Model; 6.1.3 Dual Model Interpretation; 6.1.4 Constant Returns to Scale; 6.2 Undesirable Factors; 6.2.1 Input-Output Exchange Approach; 6.2.2 Data Transformation; 6.2.2.1 Inverse Transformation; 6.2.2.2 Negative Transformation; 6.2.2.3 Shifted Negative Transformation.
- 6.2.3 Weak Disposability Approach6.2.3.1 Hyperbolic Model; 6.2.3.2 Directional Distance Model; 6.2.4 Slacks-Based Approach; 6.3 Supplementary Literature; References; Chapter 7: Special Types of Data; 7.1 Negative Data; 7.2 Ordinal Data; 7.3 Qualitative Data; 7.4 Stochastic Data; 7.5 Interval Data; 7.6 Fuzzy Data; 7.7 Supplementary Literature; References; Chapter 8: Changes of Efficiency Over Time; 8.1 Theoretic Foundation of MPI; 8.1.1 Input Index; 8.1.2 Output Index; 8.1.3 Productivity Index; 8.2 DEA Measurement of MPI; 8.3 Global Malmquist Productivity Index.
- 8.4 Luenberger Productivity Index8.5 Supplementary Literature; References; Chapter 9: Basic Ideas in Efficiency Measurement for Network Systems; 9.1 The Black-Box Model; 9.2 Independent Model; 9.2.1 Multiplier Form; 9.2.2 Envelopment Form; 9.2.3 Slacks-Based Form; 9.3 Connected Model; 9.3.1 Envelopment Form; 9.3.2 Multiplier Form; 9.3.3 Slacks-Based Form; 9.4 Relational Model; 9.4.1 Multiplier Form; 9.4.2 Envelopment Form; 9.4.3 Slacks-Based Form; 9.5 An Example; 9.5.1 Independent Model; 9.5.2 Connected Model; 9.5.3 Relational Model; 9.6 Supplementary Literature; References.