A Computational Framework for Accelerating DEA

Journal of Productivity Analysis

Volumn 16, Issue 1, 2001, Pages 63-78

  Dula J H ^a   Thrall, R M ^b,c  

^a UNIVERSITY OF MISSISSIPPI   (United States)

^b RICE UNIVERSITY   (United States)

^c University of Mississippi ^*  (United States)

Author keywords

And convex analysis; DEA; DEA computations; Linear programming

Indexed keywords

EID: 0035645355     PISSN: 0895562X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011103303616     Document Type: Article

References (25)

1. Ali, I. (1993). 26quot;Streamlined Computation for Data Envelopment Analysis." European Journal of Operational Research 64, 61-67.
2. Arnold, V., I. Bardham, W. W. Cooper, and A. Gallegos. (1998). "Primal and Dual Optimality in Computer Codes Using Two-Stage Solution Procedures in DEA." In J. E. Aronson and S. Zionts (eds.), Operations Research: Methods, Models, and Applications. Westport, CT: Quorum Books.
3. Banker, R. D., A. Charnes, and W. W. Cooper. (1984). "Some Models for Estimating Technological 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 Operational Research 62, 74-84.
5. Barr, R.S. and M.L. Durchholz. (1997). "Parallel and Hierarchical Decomposition Approaches for Solving Large-Scale Data Envelopment Analysis Models." Annals of Operations Research 73, 339-372.
6. Charnes, A., W.W. Cooper, and E. Rhodes. (1978). "Measuring the Efficiency of Decision Making Units." European Journal of Operational Research 2(6), 429-444.
7. Charnes, A., W.W. Cooper, B. Golany, L. Seiford, and J. Stutz. (1985). "Foundations of Data Envelopment Analysis for Pareto-Koopmans Efficient Empirical Production Functions." Journal of Econometrics 30, 91-107.
8. Charnes, A., W.W. Cooper, and R.M. Thrall. (1986). "Identifying and Classifying Scale and Technical Efficiency in Data Envelopment Analysis." Operations Research letters 5, 105-116.
9. Charnes, A., W.W. Cooper, Z.M. Huang, and Q.L. Wei. (1986). "Semi-Infinite Multi-Criteria Programming Approaches to DEA with Infinitely Many Decision Making Units." CCS Research Report (551), Center for Cybernetic Studies, The University of Texas at Austin.
10. Charnes, A. and W.W. Cooper. (1988). "Efficiency Characterizations in Different DEA Models." Socio-Economic Planning Sciences 22, 253-257.
11. Charnes, A., W.W. Cooper, and R.M. Thrall. (1991). "A Structure for Classifying and Characterizing Efficiency and Inefficiency in Data Envelopment Analysis." The Journal of Productivity Analysis 2, 197-237.
12. 2 Institute, The University of Texas, Austin, TX 78712-1174. Accepted in Journal of Productivity Analysis.
13. Dulá, J.H. (1998). "An Algorithm for Data Envelopment Analysis (DEA)." School of Business, University of Mississippi, University, MS 38677.
14. Dulá, J.H. and N. Venugopal. (1995). "On Characterizing the Production Possibility Set for the CCR Ratio Model in DEA." International Journal of Systems Science 26(12), 2319-2325.
15. Dulá, J.H. and R.V. Helgason. (1996). "A New Procedure for Identifying the Frame of the Convex Hull of a Finite Collection of Points in Multidimensional Space." European Journal of Operational Research 92, 352-367.
16. Dulá, J.H., R.V. Helgason, and N. Venugopal. (1998). "An Algorithm for Identifying the Frame of a Pointed Finite Conical Hull." INFORMS Journal on Computing 10(3).
17. Dulá, J.H. and B.L. Hickman. (1997). "Effects of Excluding the Column Being Scored from the DEA Envelopment LP Technology Matrix." Journal of the Operational Research Society 48, 1001-1012.
18. Färe, R., S. Grosskopf, and C.A.K. Lovell. (1985). The Measurement of Efficiency Production. Boston: Kluwer Academic Publishers.
19. Koopman, T. (1951). Activity Analysis of Production and Allocation. New York: John Wiley & Sons, Inc.
20. Oppa, G. and M. Yue. (1997). "On Measuring Scale Efficiency in DEA." Unpublished Manuscript, London School of Economics, London, UK.
21. Pastor, J. (1996). "Translation Invariance in Data Envelopment Analysis: A Generalization." Annals of Operations Research 66, 93-102.
22. Rockafellar, R.T. (1970). Convex Analysis. Princeton, NJ: Princeton University Press.
23. Seiford, L.M., and R.M. Thrall. (1990). "Recent Developments in DEA; the Mathematical Programming Approach to Frontier Analysis." Journal of Econometrics 46, 7-38.
24. Thrall, R.M. (1996). "Duality, Classification and Slacks in DEA." Annals of Operations Research 66, 109-138.
25. Thrall, R.M. (2000). "Measures in DEA with an Application to the Malmquist Index." Journal of Productivity Analysis 13(2), 125-137.