Stability analysis and enhancement of super-efficiency model based on space distance

Abstract

The traditional super-efficiency data Enveloping analysis (DEA) model can further distinguish the efficiency of efficient DMU. However, this distinction is unstable when there are perturbations in the efficient DMU inputs and outputs. The spatial distance can reflect the spatial variation of DMU on the envelope surface. We investigate the stability of the modified VRS super-efficiency model in the presence of data perturbations in efficiency DMUs and calculate its stability with spatial distances, providing a necessary and sufficient condition for such perturbations to affect the results of calculations of other efficient DMU super-efficiencies. A new super-efficiency model is proposed, which combines spatial distance to increase the constraint on projection point. Numerical examples are used to illustrate the model. On this basis, a spatial distance model for calculating inefficient DMU efficiency is further developed.

Keywords:

• Data envelopment analysis
• effective DMU
• spatial distance
• stability

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research is supported by National Natural Science Funds of China (No. 72171124, 72171122), Project of Jiangsu Qing Lan Excellent Teaching Team and Jiangsu Social Science Excellent Young Scholars. This research was also supported by The Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX23_0932).