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SECTION I: DATA ENVELOPMENT ANALYSIS (DEA)
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SECTION I: DATA ENVELOPMENT ANALYSIS (DEA)
by Mika Goto, Toshiyuki Sueyoshi
Environmental Assessment on Energy and Sustainability by Data Envelopment Analysis
COVER
TITLE PAGE
PREFACE
SECTION I: DATA ENVELOPMENT ANALYSIS (DEA)
1 GENERAL DESCRIPTION
1.1 INTRODUCTION
1.2 STRUCTURE
1.3 CONTRIBUTIONS IN SECTIONS I AND II
1.4 ABBREVIATIONS AND NOMENCLATURE
1.5 SUMMARY
2 OVERVIEW
2.1 INTRODUCTION
2.2 WHAT IS DEA?
2.3 REMARKS
2.4 REFORMULATION FROM FRACTIONAL PROGRAMMING TO LINEAR PROGRAMMING
2.5 REFERENCE SET
2.6 EXAMPLE FOR COMPUTATIONAL DESCRIPTION
2.7 SUMMARY
3 HISTORY
3.1 INTRODUCTION
3.2 ORIGIN OF L1 REGRESSION
3.3 ORIGIN OF GOAL PROGRAMMING
3.4 ANALYTICAL PROPERTIES OF L1 REGRESSION
3.5 FROM L1 REGRESSION TO L2 REGRESSION AND FRONTIER ANALYSIS
3.6 ORIGIN OF DEA
3.7 RELATIONSHIPS BETWEEN GP AND DEA
3.8 HISTORICAL PROGRESS FROM L1 REGRESSION TO DEA
3.9 SUMMARY
4 RADIAL MEASUREMENT
4.1 INTRODUCTION
4.2 RADIAL MODELS: INPUT‐ORIENTED
4.3 RADIAL MODELS: DESIRABLE OUTPUT‐ORIENTED
4.4 COMPARISON BETWEEN RADIAL MODELS
4.5 MULTIPLIER RESTRICTION AND CROSS‐REFERENCE APPROACHES
4.6 COST ANALYSIS
4.7 SUMMARY
5 NON‐RADIAL MEASUREMENT
5.1 INTRODUCTION
5.2 CHARACTERIZATION AND CLASSIFICATION ON DMUs
5.3 RUSSELL MEASURE
5.4 ADDITIVE MODEL
5.5 RANGE‐ADJUSTED MEASURE
5.6 SLACK‐ADJUSTED RADIAL MEASURE
5.7 SLACK‐BASED MEASURE
5.8 METHODOLOGICAL COMPARISON: AN ILLUSTRATIVE EXAMPLE
5.9 SUMMARY
6 DESIRABLE PROPERTIES
6.1 INTRODUCTION
6.2 CRITERIA FOR OE
6.3 SUPPLEMENTARY DISCUSSION
6.4 PREVIOUS STUDIES ON DESIRABLE PROPERTIES
6.5 STANDARD FORMULATION FOR RADIAL AND NON‐RADIAL MODELS
6.6 DESIRABLE PROPERTIES FOR DEA MODELS
6.7 SUMMARY
APPENDIX
7 STRONG COMPLEMENTARY SLACKNESS CONDITIONS
7.1 INTRODUCTION
7.2 COMBINATION BETWEEN PRIMAL AND DUAL MODELS FOR SCSCs
7.3 THREE ILLUSTRATIVE EXAMPLES
7.4 THEORETICAL IMPLICATIONS OF SCSCs
7.5 GUIDELINE FOR NON‐RADIAL MODELS
7.6 SUMMARY
APPENDIX
8 RETURNS TO SCALE
8.1 INTRODUCTION
8.2 UNDERLYING CONCEPTS
8.3 PRODUCTION‐BASED RTS MEASUREMENT
8.4 COST‐BASED RTS MEASUREMENT
8.5 SCALE EFFICIENCIES AND SCALE ECONOMIES
8.6 SUMMARY
9 CONGESTION
9.1 INTRODUCTION
9.2 AN ILLUSTRATIVE EXAMPLE
9.3 FUNDAMENTAL DISCUSSIONS
9.4 SUPPORTING HYPERPLANE
9.5 CONGESTION IDENTIFICATION
9.6 THEORETICAL LINKAGE BETWEEN CONGESTION AND RTS
9.7 DEGREE OF CONGESTION
9.8 ECONOMIC IMPLICATIONS
9.9 SUMMARY
10 NETWORK COMPUTING
10.1 INTRODUCTION
10.2 NETWORK COMPUTING ARCHITECTURE
10.3 NETWORK COMPUTING FOR MULTI‐STAGE PARALLEL PROCESSES
10.4 SIMULATION STUDY
10.5 SUMMARY
11 DEA‐DISCRIMINANT ANALYSIS
11.1 INTRODUCTION
11.2 TWO MIP APPROACHES FOR DEA‐DA
11.3 CLASSIFYING MULTIPLE GROUPS
11.4 ILLUSTRATIVE EXAMPLES
11.5 FRONTIER ANALYSIS
11.6 SUMMARY
12 LITERATURE STUDY FOR SECTION I
12.1 INTRODUCTION
12.2 COMPUTER CODES
12.3 PEDAGOGICAL LINKAGE FROM CONVENTIONAL USE TO ENVIRONMENTAL ASSESSMENT
REFERENCES FOR SECTION I
SECTION II: DEA ENVIRONMENTAL ASSESSMENT
13 WORLD ENERGY
13.1 INTRODUCTION
13.2 GENERAL TREND
13.3 PRIMARY ENERGY
13.4 SECONDARY ENERGY (ELECTRICITY)
13.5 PETROLEUM PRICE AND WORLD TRADE
13.6 ENERGY ECONOMICS
13.7 SUMMARY
14 ENVIRONMENTAL PROTECTION
14.1 INTRODUCTION
14.2 EUROPEAN UNION
14.3 JAPAN
14.4 CHINA
14.5 THE UNITED STATES OF AMERICA
14.6 SUMMARY
15 CONCEPTS
15.1 INTRODUCTION
15.2 ROLE OF DEA IN MEASURING UNIFIED PERFORMANCE
15.3 SOCIAL SUSTAINABILITY VERSUS CORPORATE SUSTAINABILITY
15.4 STRATEGIC ADAPTATION
15.5 TWO DISPOSABILITY CONCEPTS
15.6 UNIFIED EFFICIENCY UNDER NATURAL AND MANAGERIAL DISPOSABILITY
15.7 DIFFICULTY IN DEA ENVIRONMENTAL ASSESSMENT
15.8 UNDESIRABLE CONGESTION AND DESIRABLE CONGESTION
15.9 COMPARISON WITH PREVIOUS DISPOSABILITY CONCEPTS
15.10 SUMMARY
16 NON‐RADIAL APPROACH FOR UNIFIED EFFICIENCY MEASURES
16.1 INTRODUCTION
16.2 UNIFIED EFFICIENCY
16.3 UNIFIED EFFICIENCY UNDER NATURAL DISPOSABILITY
16.4 UNIFIED EFFICIENCY UNDER MANAGERIAL DISPOSABILITY
16.5 PROPERTIES OF NON‐RADIAL APPROACH
16.6 NATIONAL AND INTERNATIONAL FIRMS IN PETROLEUM INDUSTRY
16.7 SUMMARY
17 RADIAL APPROACH FOR UNIFIED EFFICIENCY MEASURES
17.1 INTRODUCTION
17.2 UNIFIED EFFICIENCY
17.3 RADIAL UNIFICATION BETWEEN DESIRABLE AND UNDESIRABLE OUTPUTS
17.4 UNIFIED EFFICIENCY UNDER NATURAL DISPOSABILITY
17.5 UNIFIED EFFICIENCY UNDER MANAGERIAL DISPOSABILITY
17.6 COAL‐FIRED POWER PLANTS IN THE UNITED STATES
17.7 SUMMARY
APPENDIX
18 SCALE EFFICIENCY
18.1 INTRODUCTION
18.2 SCALE EFFICIENCY UNDER NATURAL DISPOSABILITY: NON‐RADIAL APPROACH
18.3 SCALE EFFICIENCY UNDER MANAGERIAL DISPOSABILITY: NON‐RADIAL APPROACH
18.4 SCALE EFFICIENCY UNDER NATURAL DISPOSABILITY: RADIAL APPROACH
18.5 SCALE EFFICIENCY UNDER MANAGERIAL DISPOSABILITY: RADIAL APPROACH
18.6 UNITED STATES COAL‐FIRED POWER PLANTS
18.7 SUMMARY
19 MEASUREMENT IN TIME HORIZON
19.1 INTRODUCTION
19.2 MALMQUIST INDEX
19.3 FRONTIER SHIFT IN TIME HORIZON
19.4 FORMULATIONS FOR NATURAL DISPOSABILITY
19.5 FORMULATIONS UNDER MANAGERIAL DISPOSABILITY
19.6 ENERGY MIX OF INDUSTRIAL NATIONS
19.7 SUMMARY
APPENDIX
20 RETURNS TO SCALE AND DAMAGES TO SCALE
20.1 INTRODUCTION
20.2 UNDERLYING CONCEPTS
20.3 NON‐RADIAL APPROACH
20.4 RADIAL APPROACH
20.5 JAPANESE CHEMICAL AND PHARMACEUTICAL FIRMS
20.6 SUMMARY
21 DESIRABLE AND UNDESIRABLE CONGESTIONS
21.1 INTRODUCTION
21.2 UC AND DC
21.3 UNIFIED EFFICIENCY AND UC UNDER NATURAL DISPOSABILITY
21.4 UNIFIED EFFICIENCY AND DC UNDER MANAGERIAL DISPOSABILITY
21.5 COAL‐FIRED POWER PLANTS IN UNITED STATES
21.6 SUMMARY
22 MARGINAL RATE OF TRANSFORMATION AND RATE OF SUBSTITUTION
22.1 INTRODUCTION
22.2 CONCEPTS
22.3 A POSSIBLE OCCURRENCE OF DESIRABLE COnGESTION (DC)
22.4 MEASUREMENT OF MRT AND RSU UNDER DC
22.5 MULTIPLIER RESTRICTION
22.6 EXPLORATIVE ANALYSIS
22.7 INTERNATIONAL COMPARISON
22.8 SUMMARY
23 RETURNS TO DAMAGE AND DAMAGES TO RETURN
23.1 INTRODUCTION
23.2 CONGESTION, RETURNS TO DAMAGE AND DAMAGES TO RETURN
23.3 CONGESTION IDENTIFICATION UNDER NATURAL DISPOSABILITY
23.4 CONGESTION IDENTIFICATION UNDER MANAGERIAL DISPOSABILITY
23.5 ENERGY AND SOCIAL SUSTAINABILITY IN CHINA
23.6 SUMMARY
24 DISPOSABILITY UNIFICATION
24.1 INTRODUCTION
24.2 UNIFICATION BETWEEN DISPOSABILITY CONCEPTS
24.3 NON‐RADIAL APPROACH FOR DISPOSABILITY UNIFICATION
24.4 RADIAL APPROACH FOR DISPOSABILITY UNIFICATION
24.5 COMPUTATIONAL FLOW FOR DISPOSABILITY UNIFICATION
24.6 US PETROLEUM INDUSTRY
24.7 SUMMARY
25 COMMON MULTIPLIERS
25.1 INTRODUCTION
25.2 COMPUTATIONAL FRAMEWORK
25.3 COMPUTATIONAL PROCESS
25.4 RANK SUM TEST
25.5 JAPANESE ELECTRIC POWER INDUSTRY
25.6 SUMMARY
26 PROPERTY OF TRANSLATION INVARIANCE TO HANDLE ZERO AND NEGATIVE VALUES
26.1 INTRODUCTION
26.2 TRANSLATION INVARIANCE
26.3 ASSESSMENT IN TIME HORIZON
26.4 EFFICIENCY MEASUREMENT FOR FUEL MIX STRATEGY
26.5 SUMMARY
27 HANDLING ZERO AND NEGATIVE VALUES IN RADIAL MEASUREMENT
27.1 INTRODUCTION
27.2 DISAGGREGATION
27.3 UNIFIED EFFICIENCY MEASUREMENT
27.4 POSSIBLE OCCURRENCE OF DESIRABLE CONGESTION
27.5 US INDUSTRIAL SECTORS
27.6 SUMMARY
28 LITERATURE STUDY FOR DEA ENVIRONMENTAL ASSESSMENT
28.1 INTRODUCTION
28.2 APPLICATIONS IN ENERGY AND ENVIRONMENT
28.3 ENERGY
28.4 ENERGY EFFICIENCY
28.5 ENVIRONMENT
28.6 OTHER APPLICATIONS
28.7 SUMMARY
REFERENCES IN SECTION II
INDEX
END USER LICENSE AGREEMENT
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PREFACE
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1 GENERAL DESCRIPTION
SECTION I
DATA ENVELOPMENT ANALYSIS (DEA)
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