Ueda & Hoshiai (1997)Ueda, T., & Hoshiai, Y. (1997). Application of principal component analysis for parsimonious summarization of DEA inputs and/or outputs. Journal of the Operations Research Society of Japan, 40(4), 466-478. http://dx.doi.org/10.15807/jorsj.40.466. http://dx.doi.org/10.15807/jorsj.40.466...
, Adler & Golany (2001)Adler, N., & Golany, B. (2001). Evaluation of deregulated airline networks using data envelopment analysis combined with principal component analysis with an application to Western Europe. European Journal of Operational Research, 132(2), 260-273. http://dx.doi.org/10.1016/S0377-2217(00)00150-8. http://dx.doi.org/10.1016/S0377-2217(00)...
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PCA (Principal component analysis) – dimensionality reduction (number of inputs and outputs of the problem). |
A
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The application of the PCA can lead to a reduced number of inputs and outputs without complying with the Golden Rule (Banker et al., 1989Banker, R. D., Charnes, A., Cooper, W. W., Swarts, J., & Thomas, D. A. (1989). An introduction to data envelopment analysis with some of its models and their uses. Research in Governmental and Non-Profit Accounting, 5, 125-163.) |
Simar & Wilson (2001)Simar, L., & Wilson, P. W. (2001). Testing restrictions in nonparametric efficiency models. Communications in Statistics. Simulation and Computation, 30(1), 159-184. http://dx.doi.org/10.1081/SAC-100001865. http://dx.doi.org/10.1081/SAC-100001865...
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Selection of inputs and outputs using bootstrap (one of the most commonly used resampling methods). |
A
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The Spearman's Correlation Test is most appropriate for the selection of inputs and outputs (Silva et al., 2017aSilva, A. F., Marins, F. A. S., Tamura, P. M., & Dias, E. X. (2017a). Bi-Objective multiple criteria data envelopment analysis combined with the overall equipment effectiveness: an application in an automotive company. Journal of Cleaner Production, 157, 278-288. http://dx.doi.org/10.1016/j.jclepro.2017.04.147. http://dx.doi.org/10.1016/j.jclepro.2017...
). |
Pastor et al. (2002)Pastor, J. T., Ruiz, J. L., & Sirvent, I. (2002). A statistical test for nested radial DEA models. Operations Research, 50(4), 728-735. http://dx.doi.org/10.1287/opre.50.4.728.2866. http://dx.doi.org/10.1287/opre.50.4.728....
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Radial DEA models. |
A
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Does not follow the Golden Rule (Banker et al., 1989Banker, R. D., Charnes, A., Cooper, W. W., Swarts, J., & Thomas, D. A. (1989). An introduction to data envelopment analysis with some of its models and their uses. Research in Governmental and Non-Profit Accounting, 5, 125-163.) |
Fanchon (2003)Fanchon, P. (2003). Variable selection for dynamic measures of efficiency in the computer industry. International Advances in Economic Research, 9(3), 175-188. http://dx.doi.org/10.1007/BF02295441. http://dx.doi.org/10.1007/BF02295441...
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Variable selection method for measuring efficiency over time. |
A
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Does not follow the Golden Rule (Banker et al., 1989Banker, R. D., Charnes, A., Cooper, W. W., Swarts, J., & Thomas, D. A. (1989). An introduction to data envelopment analysis with some of its models and their uses. Research in Governmental and Non-Profit Accounting, 5, 125-163.) |
Ruggiero (2005)Ruggiero, J. (2005). Impact assessment of input omission on DEA. International Journal of Information Technology & Decision Making, 4(3), 359-368. http://dx.doi.org/10.1142/S021962200500160X. http://dx.doi.org/10.1142/S0219622005001...
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Selection of variables based on regression analysis. |
A
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This method does not follow the Golden Rule (Banker et al., 1989Banker, R. D., Charnes, A., Cooper, W. W., Swarts, J., & Thomas, D. A. (1989). An introduction to data envelopment analysis with some of its models and their uses. Research in Governmental and Non-Profit Accounting, 5, 125-163.) and it is suitable for production processes with few inputs and outputs. |
Jenkins & Anderson (2003)Jenkins, L., & Anderson, M. (2003). A multivariate statistical approach to reducing the number of variables in data envelopment analysis. European Journal of Operational Research, 147(1), 51-61. http://dx.doi.org/10.1016/S0377-2217(02)00243-6. http://dx.doi.org/10.1016/S0377-2217(02)...
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Selecting variables based on partial covariance |
A
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Apply only to problems involving Constant Return to Scale (CCR) (input-oriented) |
Wagner & Shimshak (2007)Wagner, J. M., & Shimshak, D. G. (2007). Stepwise selection of variables in data envelopment analysis: procedures and managerial perspectives. European Journal of Operational Research, 180(1), 57-67. http://dx.doi.org/10.1016/j.ejor.2006.02.048. http://dx.doi.org/10.1016/j.ejor.2006.02...
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Progressive or “STEPWISE” Selection Process. |
A
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Identification of only one model (“core” model) which relates a single input and output variable to efficiency through a mechanistic model |
Bal & Örkcü (2007)Bal, H., & Örkcü, H. H. (2007). A goal programming approach to weight dispersion in data envelopment analysis. Gazi University Journal of Science, 20, 117-125.
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(Goal Programming - GPMCDEA) – lexicographic-based approach. |
B
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Null multipliers for all DMUs (Ghasemi et al., 2014Ghasemi, M. R., Ignatius, J., & Emrouznejad, A. (2014). A bi-objective weighted model for improving the discrimination power in MCDEA. European Journal of Operational Research, 233(3), 640-650. http://dx.doi.org/10.1016/j.ejor.2013.08.041. http://dx.doi.org/10.1016/j.ejor.2013.08...
). The failure related to the unrealistic weight distribution has not been mitigated |
Bal et al. (2010)Bal, H., Örkcü, H. H., & Celebioglu, S. (2010). Improving the discrimination power and weights dispersion in the data envelopment analysis. Computers & Operations Research, 37(1), 99-107. http://dx.doi.org/10.1016/j.cor.2009.03.028. http://dx.doi.org/10.1016/j.cor.2009.03....
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GPDEA models (Goal Programming DEA). GPDEA-CCR-input e GPDEA-BCC-input. Weighted sum-based approach. |
A and B (*)
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Null multipliers for all DMUs and solutions associated with a single objective/criterion (Ghasemi et al., 2014Ghasemi, M. R., Ignatius, J., & Emrouznejad, A. (2014). A bi-objective weighted model for improving the discrimination power in MCDEA. European Journal of Operational Research, 233(3), 640-650. http://dx.doi.org/10.1016/j.ejor.2013.08.041. http://dx.doi.org/10.1016/j.ejor.2013.08...
). |
Ghasemi et al. (2014)Ghasemi, M. R., Ignatius, J., & Emrouznejad, A. (2014). A bi-objective weighted model for improving the discrimination power in MCDEA. European Journal of Operational Research, 233(3), 640-650. http://dx.doi.org/10.1016/j.ejor.2013.08.041. http://dx.doi.org/10.1016/j.ejor.2013.08...
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Modelo bi-objetivo MCDEA (BiO-MCDEA) para o CCR – input. Weighted sum-based approach. |
A and B
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Apply only to problems involving Constant Return to Scale (CCR) (input-oriented). |
Rubem et al. (2017)Rubem, A. P. S., Mello, J. C. C. B. S., & Ângulo-Meza, L. (2017). A goal programming approach to solve the multiple criteria DEA model. European Journal of Operational Research, 260(1), 134-139. http://dx.doi.org/10.1016/j.ejor.2016.11.049. http://dx.doi.org/10.1016/j.ejor.2016.11...
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Modelo WGP-MCDEA-GP para o CCR-Input, CCR-output, BCC-input e BCC-output. Weighted sum-based approach. |
A
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Did not solve the failure related to obtaining unrealistic weights. |
Hatami-Marbini & Toloo (2017)Hatami-Marbini, A., & Toloo, M. (2017). An extended multiple criteria data envelopment analysis model. Expert Systems with Applications, 73, 201-219. http://dx.doi.org/10.1016/j.eswa.2016.12.030. http://dx.doi.org/10.1016/j.eswa.2016.12...
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Extended model (Extended-MCDEA). BiO-MCDEA-CCR model and input-oriented BCC-DEA minisome. Optimal lower limit for input and output weights (non-Archimedian infinitesimal -ε). |
A and B
|
Apply only to problems involving Constant Return to Scale (CCR) (input-oriented) |
Silva et al. (2019)Silva, A. F., Marins, F. A. S., & Dias, E. X. (2019). Improving the discrimination power with a new multi-criteria data envelopment model. Annals of Operations Research, 37, 1-33. http://dx.doi.org/10.1007/s10479-019-03446-1. http://dx.doi.org/10.1007/s10479-019-034...
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New MCDEA – CCR model, based on super-efficiency. |
A and B
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Apply only to problems involving Constant Return to Scale (CCR) (input-oriented) |