Data Envelopment Analysis: Theory and Techniques for Economics and Operations Research

1. Introduction and overview 2. Productivity, efficiency, and data envelopment analysis 3. Variable returns to scale: separating technical and scale efficiencies 4. Extensions to the basic DEA models 5. Non-radial models and Pareto-Koopmans measures of technical efficiency 6. Efficiency measurement without convexity assumption: free disposal hull analysis 7. Dealing with slacks: assurance region/cone ratio analysis, weak disposability, and congestion 8. Efficiency of merger and break up of firms 9. Efficiency analysis with market prices 10. Nonparametric approaches to production analysis 11. Measuring total factor productivity change over time 12. Stochastic approaches to data envelopment analysis 13. Looking ahead.

[1]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[2]  Harold Hotelling Edgeworth's Taxation Paradox and the Nature of Demand and Supply Functions , 1932, Journal of Political Economy.

[3]  K. Zieschang An extended farrell technical efficiency measure , 1984 .

[4]  W. Cooper,et al.  RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA , 1999 .

[5]  Boaz Golany,et al.  Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions , 1985 .

[6]  P. W. Wilson,et al.  Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models , 1998 .

[7]  R. Banker,et al.  Maximum likelihood estimation of monotone and concave production frontiers , 1992 .

[8]  W. Greene Maximum likelihood estimation of econometric frontier functions , 1980 .

[9]  R. Banker Estimating most productive scale size using data envelopment analysis , 1984 .

[10]  M. Farrell,et al.  Estimating Efficient Production Functions Under Increasing Returns to Scale , 1962 .

[11]  S. Grosskopf Statistical inference and nonparametric efficiency: A selective survey , 1996 .

[12]  A. Charnes,et al.  Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks , 1990 .

[13]  Ajay Maindiratta,et al.  Largest size-efficient scale and size efficiencies of decision-making units in data envelopment analysis , 1990 .

[14]  Shawna Grosskopf,et al.  The Role of the Reference Technology in Measuring Productive Efficiency , 1986 .

[15]  Subhash C. Ray,et al.  Data envelopment analysis, nondiscretionary inputs and efficiency: an alternative interpretation , 1988 .

[16]  C. Lovell,et al.  Stochastic Frontier Analysis: Frontmatter , 2000 .

[17]  B. Golany,et al.  Controlling Factor Weights in Data Envelopment Analysis , 1991 .

[18]  Abraham Charnes,et al.  Cone ratio data envelopment analysis and multi-objective programming , 1989 .

[19]  Mieko Nishimizu Total factor productivity growth, technological progress and technical efficiency change : dimensions of productivity change in Yugoslavia, 1965-1978 , 1982 .

[20]  R. Färe Derivation of Shadow Prices for Undesirable Outputs: A Distance Function Approach , 1993 .

[21]  Jati K. Sengupta,et al.  Data envelopment analysis for efficiency measurement in the stochastic case , 1987, Comput. Oper. Res..

[22]  W. Greene,et al.  Economies of Scale in U.S. Electric Power Generation , 1976, Journal of Political Economy.

[23]  Rajiv D. Banker,et al.  The Use of Categorical Variables in Data Envelopment Analysis , 1986 .

[24]  C. A. Knox Lovell,et al.  Equivalent standard DEA models to provide super-efficiency scores , 2003, J. Oper. Res. Soc..

[25]  Russell G. Thompson,et al.  The role of multiplier bounds in efficiency analysis with application to Kansas farming , 1990 .

[26]  R. R. Russell,et al.  Measures of technical efficiency , 1985 .

[27]  G. Stigler The Xistence of X-Efficiency , 1976 .

[28]  Rajiv D. Banker,et al.  Efficiency Analysis for Exogenously Fixed Inputs and Outputs , 1986, Oper. Res..

[29]  W. Diewert,et al.  Linear Programming Tests of Regularity Conditions for Production Functions , 1983 .

[30]  Rolf Färe,et al.  Malmquist Productivity Indexes and Fisher Ideal Indexes , 1992 .

[31]  R. Färe,et al.  Measuring congestion in production , 1983 .

[32]  Abraham Charnes,et al.  Programming with linear fractional functionals , 1962 .

[33]  C. A. Knox Lovell,et al.  Stratified Models of Education Production Using Modified DEA and Regression Analysis , 1994 .

[34]  Subhash C. Ray,et al.  DECOMPOSITION OF THE FISHER IDEAL INDEX OF PRODUCTIVITY: A NON-PARAMETRIC DUAL ANALYSIS OF US AIRLINES DATA* , 1996 .

[35]  Henry Tulkens,et al.  On FDH efficiency analysis: Some methodological issues and applications to retail banking, courts, and urban transit , 1993 .

[36]  S. Afriat Efficiency Estimation of Production Function , 1972 .

[37]  R. Dyson,et al.  Reducing Weight Flexibility in Data Envelopment Analysis , 1988 .

[38]  R. Banker,et al.  NONPARAMETRIC ANALYSIS OF TECHNICAL AND ALLOCATIVE EFFICIENCIES IN PRODUCTION , 1988 .

[39]  A. Charnes,et al.  Data Envelopment Analysis Theory, Methodology and Applications , 1995 .

[40]  Luis Orea,et al.  Parametric Decomposition of a Generalized Malmquist Productivity Index , 2002 .

[41]  C. Timmer Using a Probabilistic Frontier Production Function to Measure Technical Efficiency , 1971, Journal of Political Economy.

[42]  Jean-Paul Chavas,et al.  A Generalized Distance Function and the Analysis of Production Efficiency , 1999 .

[43]  David C. Wheelock,et al.  PUBLISHED: Journal of Money, Credit and Banking, , 1996 .

[44]  Hal R. Varian,et al.  GOODNESS-OF-FIT IN OPTIMIZING MODELS , 1989 .

[45]  F. Førsund,et al.  On the Origins of Data Envelopment Analysis , 2000 .

[46]  Finn R. Førsund The Malmquist Productivity Index , 1990 .

[47]  R. Färe,et al.  Theory and Application of Directional Distance Functions , 2000 .

[48]  D. Aigner,et al.  P. Schmidt, 1977,?Formulation and estimation of stochastic frontier production function models,? , 1977 .

[49]  B. Balk Scale Efficiency and Productivity Change , 2001 .

[50]  Olivier A. Girod,et al.  A Mathematical Programming Approach for Measuring Technical Efficiency in a Fuzzy Environment , 1998 .

[51]  Dipasis Bhadra,et al.  Nonparametric Tests of Cost Minimizing Behavior: A Study of Indian Farms , 1993 .

[52]  Rolf Färe,et al.  Measuring the technical efficiency of production , 1978 .

[53]  W. Diewert Fisher ideal output, input, and productivity indexes revisited , 1992 .

[54]  篠原 正明,et al.  William W.Cooper,Lawrence M.Seiford,Kaoru Tone 著, DATA ENVELOPMENT ANALYSIS : A Comprehensive Text with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers, 2000年, 318頁 , 2002 .

[55]  Jesús T. Pastor,et al.  Units invariant and translation invariant DEA models , 1995, Oper. Res. Lett..

[56]  Subhash C. Ray,et al.  A Study of Size Efficiency in Us Banking: Identifying Banks that Are Too Large , 1998, Int. J. Syst. Sci..

[57]  Sergio Perelman,et al.  Capacity utilisation and profitability: a decomposition of short run profit efficiency , 2002 .

[58]  Ragnar Frisch,et al.  Theory Of Production , 1965 .

[59]  S. Grosskopf,et al.  PRODUCTIVITY CHANGE IN SWEDISH PHARMACIES 1980–1989: A NONPARAMETRIC MALMQUIST APPROACH , 1992 .

[60]  R. Färe,et al.  Congestion of Production Factors , 1980 .

[61]  L. R. Christensen,et al.  THE ECONOMIC THEORY OF INDEX NUMBERS AND THE MEASUREMENT OF INPUT, OUTPUT, AND PRODUCTIVITY , 1982 .

[62]  J. Richmond Estimating the Efficiency of Production , 1974 .

[63]  D. Primont,et al.  Multi-Output Production and Duality: Theory and Applications , 1994 .

[64]  Dieter Gstach,et al.  Another Approach to Data Envelopment Analysis in Noisy Environments: DEA+ , 1998 .

[65]  W. Baumol,et al.  Contestable Markets and the Theory of Industry Structure , 1982 .

[66]  William W. Cooper,et al.  Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through , 1981 .

[67]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[68]  Hal R. Varian,et al.  Non-parametric analysis of optimizing behavior with measurement error , 1985 .

[69]  Subhash C. Ray Weak Axiom of Cost Dominance: A Nonparametric Test of Cost Efficiency Without Input Quantity Data , 1997 .

[70]  Subhash C. Ray,et al.  Measuring Scale Efficiency from a Translog Production Function , 1999 .

[71]  M. Farrell The Measurement of Productive Efficiency , 1957 .

[72]  Robert M. Thrall,et al.  What Is the Economic Meaning of FDH? , 1999 .

[73]  D. Starrett,et al.  Measuring Returns to Scale in the Aggregate, and the Scale Effect of Public Goods , 1977 .

[74]  W. Seitz Productive Efficiency in the Steam-Electric Generating Industry , 1971, Journal of Political Economy.

[75]  Paul Hudson,et al.  Indirect Production Functions. , 1975 .

[76]  Hans Bjurek The Malmquist Total Factor Productivity Index , 1996 .

[77]  C. Lovell,et al.  A note on the Malmquist productivity index , 1995 .

[78]  C.A.K. Lovell,et al.  Multilateral Productivity Comparisons When Some Outputs are Undesirable: A Nonparametric Approach , 1989 .

[79]  Subhash C. Ray,et al.  Quantity, Quality, and Efficiency for a Partially Super-Additive Cost Function: Connecticut Public Schools Revisited , 1998 .

[80]  Léopold Simar,et al.  Efficient Semiparametric Estimation in a Stochastic Frontier Model , 1994 .

[81]  Subhash C. Ray,et al.  Cost efficiency in the US steel industry: A nonparametric analysis using data envelopment analysis , 1995 .

[82]  Soo-Uk Park,et al.  The efficiency of conventional fuel power plants in South Korea: A comparison of parametric and non-parametric approaches , 2000 .

[83]  Paul W. Wilson,et al.  Effects of Deregulation on the Productivity of Korean Banks , 1998 .

[84]  R. Färe,et al.  Benefit and Distance Functions , 1996 .

[85]  Lawrence M. Seiford,et al.  A DEA Bibliography (1978–1992) , 1994 .

[86]  Timo Kuosmanen,et al.  What Is the Economic Meaning of FDH? A Reply to Thrall , 2000 .

[87]  H. Varian The Nonparametric Approach to Production Analysis , 1984 .

[88]  R. Färe,et al.  Nonparametric disposability tests , 1987 .

[89]  P. Bauer Recent developments in the econometric estimation of frontiers , 1990 .

[90]  D. Luenberger Benefit functions and duality , 1992 .

[91]  P. Andersen,et al.  A procedure for ranking efficient units in data envelopment analysis , 1993 .

[92]  R. Färe,et al.  Productivity changes in Swedish pharamacies 1980–1989: A non-parametric Malmquist approach , 1992 .

[93]  Jesús T. Pastor,et al.  Linear programming approaches to the measurement and analysis of productive efficiency , 1994 .

[94]  Subhash C. Ray,et al.  On the Technically Efficient Organization of an Industry: A Study of U.S. Airlines , 1997 .

[95]  Lawrence M. Seiford,et al.  INFEASIBILITY OF SUPER EFFICIENCY DATA ENVELOPMENT ANALYSIS MODELS , 1999 .

[96]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[97]  Rajiv D. Banker,et al.  A note on returns to scale in DEA , 1996 .

[98]  Rolf Färe,et al.  Productivity growth, technical progress, and efficiency , 1997 .

[99]  M. Rothschild,et al.  Testing the Assumptions of Production Theory: A Nonparametric Approach , 1972, Journal of Political Economy.

[100]  W. Cooper,et al.  Chance Constrained Programming Formulations for Stochastic Characterizations of Efficiency and Dominance in DEA , 1998 .

[101]  Paul W. Wilson,et al.  Detecting influential observations in data envelopment analysis , 1995 .

[102]  Rajiv D. Banker,et al.  Estimation of returns to scale using data envelopment analysis , 1992 .

[103]  F. Førsund,et al.  Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants , 1979 .

[104]  Léopold Simar,et al.  A general framework for frontier estimation with panel data , 1996 .

[105]  Kenneth C. Land,et al.  Chance‐constrained data envelopment analysis , 1993 .

[106]  John C. Panzar,et al.  Economies of Scale in Multi-Output Production , 1977 .

[107]  Rolf Färe,et al.  Malmquist Productivity Indexes: A Survey of Theory and Practice , 1998 .

[108]  Henry Tulkens,et al.  Cost efficiency in Belgian municipalities , 1993 .

[109]  P. Samuelson Consumption Theory in Terms of Revealed Preference , 1948 .

[110]  Rolf Färe,et al.  Addition and Efficiency , 1986 .

[111]  S. Ray,et al.  PRODUCTIVITY GROWTH, TECHNICAL PROGRESS AND EFFICIENCY CHANGE IN INDUSTRIALIZED COUNTRIES: COMMENT , 1997 .

[112]  Barton A. Smith,et al.  Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas , 1986 .

[113]  William W. Cooper,et al.  Inefficiency and Congestion in Chinese Production Before and after the 1978 Economic Reforms , 1998 .

[114]  B. Golany,et al.  Alternate methods of treating factor weights in DEA , 1993 .

[115]  A. Charnes,et al.  Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints , 1963 .

[116]  G. Debreu The Coefficient of Resource Utilization , 1951 .

[117]  L. Seiford,et al.  Translation invariance in data envelopment analysis , 1990 .

[118]  Azzeddine M. Azzam,et al.  Marketing Margins, Market Power, and Price Uncertainty , 1991 .

[119]  W. Diewert THE MEASUREMENT OF PRODUCTIVITY , 1992 .

[120]  R. Banker Maximum likelihood, consistency and data envelopment analysis: a statistical foundation , 1993 .

[121]  Subal C. Kumbhakar,et al.  Stochastic frontier analysis , 2000 .

[122]  F. Førsund,et al.  Slack-adjusted efficiency measures and ranking of efficient units , 1996 .

[123]  Betty L. Hickman,et al.  Effects of excluding the column being scored from the DEA envelopment LP technology matrix , 1997 .

[124]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[125]  N. Petersen,et al.  Chance constrained efficiency evaluation , 1995 .

[126]  Rolf Färe,et al.  Measuring Productive Efficiency: An Application to Illinois Strip Mines , 1984 .

[127]  W. Greene On the estimation of a flexible frontier production model , 1980 .

[128]  Rajiv D. Banker,et al.  Evaluating the Adequacy of Parametric Functional Forms in Estimating Monotone and Concave Production Functions , 2002 .

[129]  Bert M. Balk,et al.  Malmquist Productivity Indexes and Fisher Ideal Indexes: Comment , 1993 .

[130]  A. Charnes,et al.  A goal programming/constrained regression review of the Bell system breakup , 1988 .

[131]  Patrick T. Harker,et al.  Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models , 2002, Manag. Sci..

[132]  W. Meeusen,et al.  Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error , 1977 .

[133]  R. Bellman,et al.  Linear Programming and Economic Analysis. , 1960 .

[134]  Agha Iqbal Ali,et al.  Computational Aspects of DEA , 1994 .

[135]  S. Afriat THE CONSTRUCTION OF UTILITY FUNCTIONS FROM EXPENDITURE DATA , 1967 .

[136]  Jesús T. Pastor,et al.  An enhanced DEA Russell graph efficiency measure , 1999, Eur. J. Oper. Res..

[137]  H. O. Fried,et al.  Accounting for Environmental Effects and Statistical Noise in Data Envelopment Analysis , 2002 .

[138]  R. Färe,et al.  The measurement of efficiency of production , 1985 .

[139]  Léopold Simar,et al.  Estimating efficiencies from frontier models with panel data: A comparison of parametric, non-parametric and semi-parametric methods with bootstrapping , 1992 .

[140]  P. W. Wilson,et al.  Statistical Inference in Nonparametric Frontier Models: The State of the Art , 1999 .

[141]  L. R. Christensen,et al.  Economies of Density versus Economies of Scale: Why Trunk and Local Service Airline Costs Differ , 1984 .

[142]  Timothy Coelli,et al.  An Introduction to Efficiency and Productivity Analysis , 1997 .

[143]  R. Färe,et al.  Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries , 1994 .