Network Data Envelopment Analysis: Foundations and Extensions (International Series in Operations Research & Management Science, 340)

Preface to the First Edition
Preface to the Second Edition
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 Function
	3.3 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 Complementary 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 Case
		5.2.2 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 Approach
			6.2.3.1 Hyperbolic Model
			6.2.3.2 Directional Distance Model
			6.2.3.3 Variable-Reduction 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 Index
	8.5 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 Cooperative Model
		9.5.1 Envelopment Form
		9.5.2 Multiplier Form
		9.5.3 Slacks-Based Form
	9.6 An Example
		9.6.1 Independent Model
		9.6.2 Connected Model
		9.6.3 Relational Model
		9.6.4 Cooperative Model
	9.7 Supplementary Literature
	References
Chapter 10: Basic Two-Stage Systems
	10.1 Independent Model
	10.2 Ratio-Form Efficiency Measures
		10.2.1 Efficiency Decomposition
			10.2.1.1 Constant Returns to Scale
			10.2.1.2 Variable Returns to Scale
			10.2.1.3 Game-Theoretic Approach
		10.2.2 Efficiency Aggregation
	10.3 Distance Function Efficiency Measures
		10.3.1 System Parameter
		10.3.2 Division Parameters
	10.4 Slacks-Based Efficiency Measures
	10.5 Supplementary Literature
	References
Chapter 11: General Two-Stage Systems
	11.1 Feedback System
	11.2 Independent Efficiency Measures
	11.3 Ratio-Form Efficiency Measures
		11.3.1 Game Approach
		11.3.2 Efficiency Aggregation
		11.3.3 Efficiency Decomposition
	11.4 Distance Function Efficiency Measures
		11.4.1 System Parameter
		11.4.2 Division Parameters
		11.4.3 Directional Distance Parameter
	11.5 Slacks-Based Efficiency Measures
	11.6 Shared Input
	11.7 Supplementary Literature
	References
Chapter 12: Multi-Stage Systems
	12.1 Basic Series Structure
		12.1.1 Efficiency Decomposition
		12.1.2 Efficiency Aggregation
	12.2 Independent Efficiency Measures
	12.3 Ratio-Form Efficiency Measures
		12.3.1 Efficiency Aggregation
		12.3.2 Efficiency Decomposition
	12.4 Distance Function Efficiency Measures
		12.4.1 System Parameter
		12.4.2 Division Parameters
	12.5 Slacks-Based Efficiency Measures
	12.6 Reversal Links
		12.6.1 Ratio-Form Efficiency Measures
		12.6.2 Slacks-Based Efficiency Measures
	12.7 Supplementary Literature
	References
Chapter 13: Parallel Systems
	13.1 Multi-component Systems
	13.2 Multi-function Systems
	13.3 Shared Input
		13.3.1 Ratio-form Efficiency Measures
		13.3.2 Distance Function Efficiency Measures
			13.3.2.1 System Parameter
			13.3.2.2 Division Parameters
			13.3.2.3 Directional Distance Parameter
		13.3.3 Slacks-based Efficiency Measures
	13.4 Hierarchical Systems
		13.4.1 Multi-component Systems
		13.4.2 Multi-function Systems
	13.5 Supplementary Literature
	References
Chapter 14: Mixed Systems
	14.1 Three-Division Structures
		14.1.1 The R&D Value Chain Example
		14.1.2 The Railway Operation Example
		14.1.3 The Transportation Network Example
		14.1.4 The Bank Profit Centers Example
	14.2 Four-Division Structures
		14.2.1 The International Tourist Hotel Example
		14.2.2 The Environmental Protection Example
		14.2.3 The Corporate and Consumer Banking Example
		14.2.4 The Matrix Structure Example
	14.3 Five-Division Structures
		14.3.1 The Major League Baseball Example
		14.3.2 The NBA Basketball Example
	14.4 Supplementary Literature
	References
Chapter 15: Dynamic Systems
	15.1 Ratio-Form Efficiency Measures
		15.1.1 The Whole-unit Case
		15.1.2 The Network Case
	15.2 Distance Function Efficiency Measures
		15.2.1 The Production Delays Example
		15.2.2 The Period Distance Parameters Case
		15.2.3 Directional Distance Function: Whole Unit
		15.2.4 Directional Distance Function: Network
	15.3 Slacks-Based Efficiency Measures
		15.3.1 The Basic Dynamic Structure Case
		15.3.2 The Aggregate Slack Case
		15.3.3 The Network Case
	15.4 Value-Based Efficiency Measures
	15.5 Supplementary Literature
	References
Chapter 16: Linkage Efficiency
	16.1 Basic Series Systems
		16.1.1 Two-division Systems
		16.1.2 Multi-division Systems
	16.2 Parallel Systems
	16.3 General Network Systems
	16.4 Supplementary Literature
	References
Chapter 17: External and Internal Evaluations
	17.1 External Evaluation
		17.1.1 Radial Efficiency
		17.1.2 SBM Efficiency
	17.2 Internal Evaluation
		17.2.1 Radial Efficiency
		17.2.2 SBM Efficiency
	17.3 Supplementary Literature
	References
Chapter 18: Epilogue
	18.1 Generality of Some Representative Models
	18.2 Which Model to Use
	18.3 Road Ahead
Index