A Method for Solving Super-Efficiency Infeasibility by Adding virtual DMUs with Mean Values

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran

2 Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran

Abstract

Using super-efficiency, with regard to ranking efficient units, is increasing in DEA. However, this model has some problems such as the infeasibility. Thus, this article studies infeasibility of the input-based super-efficiency model (because of the zero inputs and outputs), and presents a solution by adding two virtual DMUs with mean values (one for inputs and one for outputs). Adding virtual DMUs to Production Possibility Set (PPS) changed the basic super-efficiency model, so a new model is proposed for solving this problem. Finally, the newly developed model is illustrated with a real-world data set.

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Main Subjects

References

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Interdisciplinary Journal of Management Studies (Formerly known as Iranian Journal of Management Studies)
Volume 10, Issue 4
December 2017
Pages 905-916

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