Chiang Kao. Network Data Envelopment. Analysis. Foundations and Extensions. ^ Springer

Transcription

1 Chiang Kao Network Data Envelopment Analysis Foundations and Extensions ^ Springer

2 Contents 1 Introduction History of Network DEA Basic Ideas of Efficiency Measurement Multi-input Case Multi-output Case Whole-Unit Analysis Network Analysis Supplementary Literature 15 References 16 2 Output-Input Ratio Efficiency Measures CCR Model Input Model Output Model BCC Model Input Model Output Model Restrictions on Multipliers Ranking Supplementary Literature 39 References 39 3 Distance Function Efficiency Measures Production Possibility Set Input Distance Function Output Distance Function Directional Distance Function Supplementary Literature 61 References 62 ix

3 x Contents 4 Slacks-Based Efflciency Measures Additive Model Russell Measures Input Model Output Model Input-Output Average Model Russell Ratio Model A Classification of Efflciency Measures Supplementary Literature 85 References 85 5 Efflciency Measurement in Special Production Stages Multiplicative Model Variable Retums to Scale Constant Returns to Scale Free Disposal Hull General Case Constant Returns to Scale Congestion Weak Disposability Model Slack-Measure Model Input-Fixing Model Comparison Supplementary Literature 110 References Special Types of Input and Output Factors Non-discretionary Factors Input Model Output Model Dual Model Interpretation Constant Returns to Scale Undesirable Factors Input-Output Exchange Approach Data Transformation Weak Disposability Approach Slacks-Based Approach Supplementary Literature 128 References Special Types of Data Negative Data Ordinal Data Qualitative Data Stochastic Data Interval Data 146

4 Contents x ' 7.6 Fuzzy Data Supplementary Literature 152 References Changes of Efficiency Over Time Theoretic Foundation of MPI Input Index Output Index Productivity Index DEA Measurement of MPI Global Malmquist Productivity Index Luenberger Productivity Index Supplementary Literature 173 References Basic Ideas in Efficiency Measurement for Network Systems The Black-Box Model Independent Model Multiplier Form Envelopment Form Slacks-Based Form Connected Model Envelopment Form Multiplier Form Slacks-Based Form Relational Model Multiplier Form Envelopment Form Slacks-Based Form An Example Independent Model Connected Model Relational Model Supplementary Literature 205 References Basic Two-Stage Systems Independent Model Ratio-Form Efficiency Measures Efficiency Decomposition Efficiency Aggregation Distance Function Efficiency Measures System Parameter Division Parameters Slacks-Based Efficiency Measures Supplementary Literature 231 References 233

5 xjj Contents 11 General Two-Stage Systems Feedback System Independent Efflciency Measures Ratio-Form Efflciency Measures Game Approach Efflciency Aggregation Efflciency Decomposition Distance Function Efflciency Measures System Parameter Division Parameters Directional Distance Parameter Slacks-Based Efflciency Measures Shared Input Supplementary Literature 268 References General Multi-Stage Systems Basic Series Structure Efflciency Decomposition Efflciency Aggregation Independent Efflciency Measures Ratio-Form Efflciency Measures Efflciency Aggregation Efflciency Decomposition Distance Function Efflciency Measures System Parameter Division Parameters Slacks-Based Efflciency Measures Reversal Links Ratio-Form Efflciency Measures Slacks-Based Efflciency Measures Supplementary Literature 304 References Parallel Systems Multi-Component Systems Multi-Function Systems Shared Input Ratio-Form Efflciency Measures Distance Function Efflciency Measures Slacks-Based Efflciency Measures Supplementary Literature 330 References 332

6 Contents xiii 14 Hierarchical Systems Multi-Component Systems Multi-Function Systems General Model Slacks-based Efficiency Measures Supplementary Literature 352 References Assembly and Disassembly Systems Assembly Systems The Basic Two-Division Series Structure The Basic Two-Division Parallel Structure The Basic Two-Division Series Structure with Exogenous Inputs The Basic Three-Division (Assembly) Structure The Basic Three-Division Structure with Exogenous Inputs An Example Non-Uniqueness of Decomposition Disassembly Systems The Basic Two-Division Series Structure The Basic Two-Division Parallel Structure The Basic Two-Division Series Structure with Exogenous Outputs The Basic Three-Division (Disassembly) Structure The Basic Three-Division Structure with Exogenous Outputs An Example Hierarchical Systems Distance Function Efficiency Measures Slacks-Based Efficiency Measures Supplementary Literature 385 References Mixed Systems Independent Efficiency Measures Ratio-Form Efficiency Measures Distance Function Efficiency Measures Slacks-Based Efficiency Measures The Environmental Protection Example The Bank Profit Centers Example The Corporate and Consumer Banking Example The NBA Basketball Example Supplementary Literature 406 References 407

7 xiv Contents 17 Dynamic Systems Ratio-Form Efflciency Measures The Whole-Unit Case The Network Case Distance Function Efflciency Measures The Production Delays Example The Period Distance Parameters Case Directional Distance Function: Whole Unit Directional Distance Function: Network Slacks-Based Efflciency Measures The Basic Dynamic Structure Case The Aggregate Slack Case The Network Case Value-Based Efflciency Measures Supplementary Literature 427 References Epilogue Generality of Some Representative Models Which Model to Use RoadAhead 439 Index 441