Slice models in general purpose modeling systems: An application to DEA

Optimization Methods and Software

Volumn 17, Issue 6, 2002, Pages 1009-1032

  Ferris, Michael C ^a   Voelker, Meta M ^a  

^a University of Wisconsin   (United States)

Author keywords

DEA; Modeling systems; Optimization; Slice modeling

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; DATA STRUCTURES; DECISION THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

DATA ENVELOPMENT ANALYSIS; GENERAL PURPOSE MODELING SYSTEMS; SLICE MODELS;

MATHEMATICAL PROGRAMMING;

EID: 0036922786     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/1055678021000034341     Document Type: Article

References (27)

1. Allen, R., Athanassopoulos, A., Dyson, R. G. and Thanassoulis, E. (1997). Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions. Annals of Operations Research, 73, 13-34.
2. Anderson, T. (1996). A Data Envelopment Analysis (DEA) home page. HTML document. [http://www.emp.pdx.edu/dea/homedea.html]
3. Banker, R. D. and Morey, R. C. (1986). Efficiency analysis for exogeneously fixed inputs and outputs. Operations Research, 34, 513-521.
4. Banker, R. D. and Morey, R. C. (1986). The use of categorical variables in Data Envelopment Analysis. Management Science, 32, 1613-1627.
5. Brooke, A., Kendrick, D. and Meeraus, A. (1988). GAMS: A User's Guide (The Scientific Press, South San Francisco, California). [http://www.gams.com/]
6. Charnes, A., Copper, W. W. and Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429-444.
7. Charnes, A., Copper, W. W. and Rhodes, E. (1979). Short communication: Measuring the efficiency of decision-making units. European Journal of Operations Research, 3, 339.
8. Charnes, A., Copper, W. W. and Rhodes, E. (1981). Evaluating program and managerial efficiency: An application of Data Envelopment Analysis to Program Follow Through. Management Science, 27, 668-697.
9. Cooper, W. W., Seiford, L. M. and Tone, K. (2000). Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software (Kluwer Acaemic Publishers, Boston).
10. Dyson, R. G., Thanassoulis, E. and Boussofiane, A. (1995). A DEA (Data Envelopment Analysis) tutorial. HTML document. [http://www.warwick.ac.uk/~bsrnb/pages/links/dea.htm]
11. Efron, B. (1979). Bootstrap methods: Another look at the jackknife. Annals of Statistics, 7, 1-26.
12. Efron, B. (1982). The Jackknife, the boostrap and other resampling plans. CMBS-NSF Regional Conference Series in Applied Mathematics, Vol. 38 (SIAM, Philadelphia, Pennsylvania).
13. Efron, B. and Tibshirani, R. J. (1993). Introduction to the Bootstrap (Chapman and Hall, New York).
14. Farrell, M. J. (1957). The measurement of productive efficiency. Journal of the Royal Statistical Society, Series A (General), 120, 253-290.
15. Ferris, M. C. and Voelker, M. M. (2002). Slice models in GAMS. In: Operations Research Proceedings 2001 (German Operations Research Society (GOR), Springer). To appear.
16. GAMS Development Corporation (2002). Slice Modeling in GAMS. HTML document. [http://www.gams.com/contrib/gamsdea/dea.htm]
17. GAMS Development Corporation (1999). Data Envelopment Analysis - DEA (DEA,SEQ=192). GAMS model. Obtained from the GAMS library call 'gamslib dea'.
18. ILOG CPLEX Division (1999). 889 Alder Avenue, Incline Village, Nevada. CPLEX Optimizer. [http://www.cplex.com/]
19. Kamakura, W. A. (1988). A note on "The use of categorical variables in Data Envelopment Analysis". Management Science, 34, 1273-1276.
20. Kuntz, L. and Scholtes, S. (2000). Measuring the robustness of empirical efficiency valuations. Management Science, 46, 807-823.
21. Olesen, O. B. and Petersen, N. C. (1996). A presentation of GAMS for DEA. Computers and Operations Research, 23, 323-339.
22. Scheel, H. (2000). Data Envelopment Analysis (DEA) page. HTML document. [http://www.wiso.uni-dortmund.de/lsfg/or/schell/doordea.htm]
23. Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis pp. 52-53 (Chapman and Hall, London).
24. Simar, L. and Wilson, P. W. (1998). Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models. Management Science, 44, 49-61.
25. Simar, L. and Wilson, P. W. (2000). A general methodology for bootstrapping in non-parametric frontier models. Journal of Applied Statistics, 27, 779-802.
26. Simar, L. and Wilson, P. W. (2000). Statistical inference in nonparametric frontier models: The state of the art. Journal of Productivity Analysis, 13, 49-78.
27. Walden, J. B. (2000). Private communication.