Identification and use of efficient faces and facets in DEA

Journal of Productivity Analysis

Volumn 20, Issue 3, 2003, Pages 323-360

  Olesen, Ole B ^a   Petersen, N C ^a  

^a UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

AR; Cone Ratio; Data envelopment analysis; Data Generation Process; DEA; Facets; Frontier estimation; Production possibility set; Qhull; Virtual multipliers

Indexed keywords

EID: 3843092784     PISSN: 0895562X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027303901017     Document Type: Conference Paper

References (35)

1. Allen, R. G. D. (1938). Mathematical Analysis for Economists. New York: St. Martin's Press.
2. Banker, R. D. (1984). "Estimating most Productive Scale Size using Data Envelopment Analysis." European Journal of Operations Research 17, 35-44.
3. Banker, R. D., A. Charnes and W. W. Cooper. (1984). "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis." Management Science 30(9), 1078-1092.
4. Banker, R. D. and R. M. Thrall. (1992). "Estimation of Returns to Scale using Data Envelopment Analysis." European Journal of Operations Research 62, 74-84.
5. Blackorby, E. R. and R. R. Russell. (1989). "Will the Real Substitution Please Stand up? (a comparison of allen/uzawa and morishima elasticities)." American Economic Review 79(4), 882-888.
6. Briec, W. and H. Leleu. (2000). "A Dual Approach for Measuring Technical Efficiency on Non Parametric Technologies."
7. Brocket, P. L., A. Charnes, W. W. Cooper, Z. M. Huang and D. B. Sun. (1997). "Data Transformations in DEA Cone Ratio Envelopment Approach for Monitoring Bank Performance." European Journal of Operations Research 98, 250-268.
8. Charnes, A., W. W. Cooper, Z. M. Huang and D. B. Sun. (1990). "Polyhedral Cone-Ratio DEA Models with an Illustrative Application to Large Commercial Banks." Journal of Econometrics 46(1-2), 73-91.
9. Charnes, A., W. W. Cooper, Z. M. Huang and D. B. Sun. (1991). "Relations between Half-Spaces and Finitely Generated Cones in Polyhedral Cone-Ratio Models." International Journal of Systems Science 22(11), 2057-2077.
10. Charnes, A., W. W. Cooper and E. Rhodes. (1978). "Measuring the Efficiency of Decision-Making Units." European Journal of Operations Research 2, 429-444.
11. Charnes, A., W. W. Cooper and R. M. Thrall. (1991). "A Structure for Classifying and Characterizing Efficiencies and Inefficiencies in Data Envelopment Analysis." Journal of Productivity Analysis 2, 197-237.
12. Charnes, A., W. W. Cooper, Q. L. Wei and Z. M. Huang. (1989). "Cone Ratio Data Envelopment Analysis and Multi-objective Programming." International Journal of Systems Science 20, 1099-1118.
13. Cooper, W. W., R. G. Thompson and R. M. Thrall. (1996). "Introduction: Extensions and New Development in DEA." Annals of Operations Research 66, 3-45.
14. de Berg, M., M. V. Kreveld, M. Overmars and O. Schwarzkopf. (1997). Computational Geometry, Algorithms and Applications. Berlin: Springer Verlag.
15. Forsund, F. and L. Hjalmarsson. (1987). Analyses of Industrial Structure: A Putty-Clay Approach. Stockholm: The Industrial Institute for Economic and Social Research.
16. Goodman, J. E., R. Pollack and B. Sturmfels. (1990). "The Intrinsic Spread of a Configuration i rd." Journal of the American Mathematical Society 3(3), 639-651.
17. Grosskopf, S., D. Margaritis and V. Valdmanis. (1995). "Estimating Output Substitutability of Hospital Services. A Distance Function Approach." European Journal of Operations Research 80, 575-587.
18. Grünbaum, B. (1961). "Measures of Symmetry for Convex Sets." Proceedings of the Seventh Symposium in Pure Mathematics of the American Mathematical Society, Symposium on Convexity, pp. 233-270.
19. Halme, M., T. Joro, P. Korhonen, S. Salo and J. Wallenius. (1999). "A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis." Management Science 45, 103-115.
20. Hicks, J. (1932). The Theory of Wages. London: Macmillan.
21. Hildenbrand, K. (1983). "Numerical Computation of Short-run Production Frontiers." In W. Eichhorn et al. (ed.), Quantitative Studies on Production and Prices. Physica Verlag, pp. 173-180.
22. Hildenbrand, W. (1981). "Short-run Production Functions based on Microdata." 455-465.
23. Koopmans, T. C. (1977). "Examples of Production Relations based on Micro-data." In G. C. Harcourt (ed.), The Microeconomic Foundation of Microeconomics. London, pp. 144-171.
24. Morishima, M. (1967). "Danryokusei rison ni kansuru ni-san no teian (a few suggestions on the theory of elasticity." Keizai Hyoron 16, 144-150.
25. Murota, T. (1977). "On the Symmetry of Robinson Elasticities of Substitution." Review of Economics and Statistics 4(1), 173-176.
26. Olesen, O. B. and N. C. Petersen. (1996a). "Indicators of Ill-conditioned Data Sets and Model Misspecification in Data Envelopment Analysis: An Extended Facet Approach." Management Science 42, 205-219.
27. Olesen, O. B. and N. C. Petersen. (1996b). "A Presentation of Gams for DEA." Computers and Operations Research 23(4), 323-339.
28. Robinson, J. (1933). The Economics of Imperfect Competition. London.
29. Rockefellar, R. T. (1970). Convex Analysis. New Jersey: Princeton University Press.
30. Simar, L. and P. Wilson. (1998). "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Models." Management Science 44, 49-61.
31. Simar, L. and P. Wilson. (2000). "Statistical Inference in Nonparametric Models: The State of the Art." Journal of Productivity Analysis 13, 49-78.
32. Thompson, R. G., L. N. Langemeier, C. Lee, E. Lee and R. M. Thrall. (1990). "The Role of Multiplier Bounds in Efficiency Analysis with Application to Kansas Farming." Journal of Econometrics 46, 93-108.
33. Thompson, R. G., F. D. J. Singleton, R. M. Thrall and B. A. Smith. (1986). "Comparative Site Evaluation for Locating a High-Energy Physics Lab in Texas." Interfaces 16(6), 35-49.
34. Yu, G., Q. Wei and P. Brockett. (1996). "A Generalized Data Envelopment Model: A Unification and Extension of Existing Methods for Efficiency Analysis of Decision Making Units." Annals of Operations Research 66, 47-89.
35. Yu, G., Q. Wei, P. Brockett and L. Zhou. (1996). "Construction of all DEA Efficient Surfaces of the Production Possibility Set under Generalized Data Envelopment Analysis Model." European Journal of Operations Research 95, 491-510.