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.
Machine summary:
"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.
com Introduction Charnes, Cooper, and Rhodes (CCR) (1979) devised the way to change a fractional linear measure of efficiency into a Linear Programming (LP) format and that led to the creation of DEA in 1978, the result of which was the assessment of Decision-Making Units (DMUs) based on multiple inputs and outputs, even if the production function was unknown.
This paper is organized in the following manner: Next section describes super-efficiency infeasibility problem and presents the proposed model with mean values for solving this problem.
The result of solving Model (2) with adding ∑ାଶ ߣ ൌ 1 are shown in fifth columns of Table 4 for efficient DMUs. As seen, the infeasibility for ܦܯܷଵ is solved, and now we can rank all DMUs with AIN.
Therefore, the second section presented a method by adding virtual DMUs with mean values in the inputs, and outputs to improve efficiency frontier and solve the problem, it solved the infeasibility of the SE-CCR on the basis of the above theorems.
Another subject suggested by the research, is working on the super-efficiency form of the other DEA models (Esmaeili & Rostamy-Malkhalifeh, 2017; Thrall, 1996)."