Interdisciplinary Journal of Management Studies

Interdisciplinary Journal of Management Studies

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

Document Type : Research Paper

Authors
Alireza Amirteimoori 1
Sohrab Kordrostami 2
Pooya Nasrollahian 1
1 Department of Applied Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran
2 Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, Iran
10.22059/ijms.2017.235592.672706
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.
Keywords
DEA
super-efficiency
infeasibility
mean values
Subjects
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Interdisciplinary Journal of Management Studies
Volume 10, Issue 4
Autumn 2017
Pages 905-916