Parsabad Moghan Branch, Islamic Azad University, Parsabad Moghan, Iran
Abstract: (9533 Views)
The performances of decision-making units (DMUs) can be evaluated from two different
points of view optimistic and pessimistic and accordingly, two different efficiencies can be calculated
for each DMU: the best relative efficiency and the worst relative efficiency. In the conventional
methods of data envelopment analysis (DEA), only the best relative efficiency is evaluated. It is
argued here that both efficiencies must be considered simultaneously, and any approach that considers
only one of them will be biased. In this paper, it is proposed that to integrate both efficiencies in the
form of an interval evaluates the overall performance of each DMU. To this end, a virtual DMU is
used called the ideal DMU. The new DEA models with upper and lower bounds on efficiency are
called the bounded DEA models. A numerical example is presented to illustrate the application of the
proposed DEA models.
Keywords: Data Envelopment Analysis (DEA), Optimistic and Pessimistic Efficiencies, Bounded
DEA Models, Efficiency Interval.
H. Azizi, R. Jahed. An Improvement for Efficiency Interval: Efficient and Inefficient Frontiers. International Journal of Applied Operational Research 2011; 1 (1) :49-65 URL: http://ijorlu.liau.ac.ir/article-1-47-en.html