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Book Cover
E-book
Author Kao, Chiang, author

Title Network data envelopment analysis : foundations and extensions / Chiang Kao
Edition Second edition
Published Cham : Springer, [2023]
©2023

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Description 1 online resource (xvii, 475 pages) : illustrations
Series International series in operations research & management science ; volume 340
International series in operations research & management science ; 340.
Contents Intro -- 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
Summary 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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed July 31, 2023)
Subject Data envelopment analysis.
Industrial management -- Mathematical models.
Operations research.
Data envelopment analysis
Industrial management -- Mathematical models
Operations research
Form Electronic book
ISBN 9783031275937
3031275934