I am using Benchmarking R package to calculate the super efficiency of DEA as below:
Benchmarking::sdea(x0, y0, RTS="vrs", ORIENTATION = "out")$eff
Some of DMU efficiency score is zero, while the corresponding CRS model is positive number. why ? How to interpret and solve this problem ?
Dear Halley,
Super Efficiency (SE) VRS DEA models are extremely sensitive to outliers. In CRS model these DMUs can find a benchmark DMU but in VRS SE model their comparison with other DMUs may not be feasible. Thus, SE scores cannot be extracted. This problem has to do with the different formation of the frontier under CRS and VRS models. For a better understanding of the problem and for possible ways to overcome it you can take a look at the following papers.
Lovell, C. A. K., & Rouse, A. P. B. (2003). Equivalent standard DEA models to provide super-efficiency scores. Journal of the Operational Research Society, 54(1), 101-108.
Lee, H. S., & Zhu, J. (2012). Super-efficiency infeasibility and zero data in DEA. European Journal of Operational Research, 216(2), 429-433.
Regards,
Spyros
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