Variables with negative values in DEA

Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis

Volumn , Issue , 2007, Pages 63-84

  Pastor, Jesús T ^a   Ruiz, José L ^a  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

Author keywords

Data Envelopment Analysis; Negative data

Indexed keywords

EID: 58149222367     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-387-71607-7_4     Document Type: Chapter

References (29)

1. Ali, A. I. and Seiford, L. M. (1990) "Translation invariance in data envelopment analysis", O perations Research Letters, 9, 403-405.
2. Ali, A. I. and Seiford, L. M. (1993) "The mathematical programming approach to efficiency analysis", in Fried, H. O., C. A. K. Lovell, S. S. Schmidt, eds. The measurement of productive efficiency: techniques and applications, New York, NY: Oxford University Press.
3. Aparicio, J., Ruiz, J. L. and Sirvent, I. (2005) "Closest targets and minimum distance to the efficient frontier in DEA", T rabajos I+D, I-2005-22, Centro de Investigación Operativa, Universidad Miguel Hernández, Spain.
4. Banker, R. D., Charnes, A. and Cooper, W. W. (1984) "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis", M anagement Science, 30(9), 1078-1092.
5. Banker, R. D. and Morey, R. C. (1986) "Efficiency analysis for exogenously fixed inputs and outputs", O perations Research, 34(4), 513-521.
6. Briec, W. (1997) "A Graph-Type Extension of Farrell Technical Efficiency Measure", J ournal of Productivity Analysis, 8(1), 95-110.
7. Chambers, R. G., Chang, Y. and Färe, R. (1996) "Benefit and distance functions", J ournal of Economic Theory, 70, 407-419.
8. Charnes, A., Cooper, W. W. and Rhodes, E. (1978) "Measuring the efficiency of decision making units", E uropean Journal of Operational Research, 2/6, 429-444.
9. Charnes, A., Cooper, W. W. and S. Li (1989), "Using Data Envelopment Analysis to evaluate Efficiency in the Economic Performance of Chinese Cities", S ocio-Economic Planning Sciencies, 23(6), 325-344.
10. Charnes, A., Cooper, W. W. and Thrall, R. M. (1991) "A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis", J ournal of Productivity Analysis, 2, 197-237.
11. Charnes, A., Cooper, W. W., Golany, B., Seiford, L. and Stutz, J. (1985) "Foundations of Data Envelopment Analysis for Pareto-Koopmans Efficient Empirical Productions Functions", J ournal of Econometrics, 30, 91-107.
12. Charnes, A., Cooper, W. W. and R. M. Thrall (1986), "Classifying and characterizing efficiencies and inefficiencies in data envelopment analysis", O perations Research Letters, 5(3), 105-110.
13. Charnes, A., Cooper, W. W., Seiford, L. and Stutz, J. (1983), "Invariant multiplicative efficiency and piecewise Cobb-Douglas envelopments", O perations Research Letters, 2(3), 101-103.
14. Cooper, W. W., Park, K. S. and Pastor, J. T. (1999) "RAM: A range adjusted measure of inefficiency for use with additive models, an relations to other models and measures in DEA", Journal of Productivity Analysis, 11, 5-42.
15. Cooper, W. W., Ruiz, J. L. and Sirvent, I. (2006) "Choosing weights from alternative optimal solutions of dual multiplier models in DEA", E uropean Journal of Operational Research, to appear.
16. Halme, M., Joro, T and Koivu, M. (2002), "Dealing with interval scale data in data envelopment analysis", E uropean Journal of Operational Research, 137, 22-27.
17. Lovell, C. A. K. (1995), "Measuring the Macroeconomic Performance of the Taiwanese Economy", I nternational Journal of Production Economics, 39, 165-178.
18. Lovell, C. A. K. and J. T. Pastor (1995), "Units invariant and translation invariant DEA models", O perations Research Letters, 18, 3, 147-151.
19. Lozano-Vivas, A., J. T. Pastor and J. M. Pastor (2002), "An Efficiency Comparison of European Banking Systems Operating under Different Environmental Conditions", J ournal of Productivity Analysis, 18, 59-77.
20. Olesen, O. and Petersen, N. C. (1996) "Indicators of ill-conditioned data sets and model misspecification in Data Envelopment Analysis: An extended facet approach", M anagement Science, 42, 205-219.
21. Pastor J. T. and Ruiz, J. L. (2005), "On the treatment of negative data in DEA", Working Paper, Centro de Investigación Operativa, Universidad Miguel Hernandez, Spain.
22. Pastor, J. T. (1993), "Efficiency of Bank Branches through DEA: the attracting of liabilities", presented at the IFORS93, Lisbon.
23. Pastor, J. T. (1994), "New Additive DEA Models for handling Zero and Negative Data", Working Paper, Universidad de Alicante (out of print).
24. Pastor, J. T. (1996), "Translation invariance in data envelopment analysis: A generalization", A nnals of Operations Research, 66, 93-102.
25. Seiford, L. M. and Zhu, J. (2002) "Classification invariance in data envelopment analysis", in Uncertainty and Optimality, Probability, Statistics and Operations Research, J. C. Misra (Ed.), World Scientific.
26. Silva Portela, M. C. A., Thanassoulis, E. and Simpson, G. (2004), "Negative data in DEA: a directional distance function approach applied to bank branches", J ournal of the Operational Research Society, 55, 1111-1121.
27. Thore, S., G. Kozmetski and F. Philips (1994), "DEA of Financial Statements Data: The U. S. Computer Industry, later published in Journal of Productivity Analysis, 5(3), 229-248.
28. Thrall, R. M. (1996), "The lack of invariance of optimal dual solutions under translation", A nnals of Operations Research, 66, 103-108.
29. Zhu, J. (1994), "Translation Invariance in Data Envelopment Analysis and its use", W orking Paper.