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

✍ Scribed by Chiang Kao

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 483
• Edition: 2
• Category: Library

✦ Synopsis

This second edition systematically presents the underlying theory, model development, and applications of network Data Envelopment Analysis (DEA). It discusses the models used to measure the efficiency of systems in specific network structures and introduces readers to the latest applications. It demonstrates how the “network DEA” approach helps identify and manage the specific components that cause inefficiencies in the overall system. The existing models for measuring the efficiency of systems in specific network structures are also discussed, and the relationships between system efficiency and component efficiency are explored. Moreover, the book provides an advanced exposition on performance evaluation of systems with network structures. It explores the networked nature of most production and operation systems, and explains why network analyses are necessary. Accordingly, the book will inspire new research and applications based on the state of the art.

In this new edition, the latest research advances and discoveries are discussed. Two new chapters on Linkage Efficiency and External and Internal Evaluations have been added.

This book is mainly aimed at researchers and graduate students who are interested in performance evaluation, DEA, and multi-criteria decision analysis. Practitioners who want to measure the performance of production, operation, or any type of decision-making units will also find it useful.

✦ Table of Contents

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