The ideal distance to efficiency frontier with integervalued in DEA

In traditional Data Envelopment Analysis (DEA) all inputs and outputs are assumed totake real values. However, this is not realistic in many practical situations and in some applicationswe may need to work with integer variables and parameters. Once we assume that the variables cantake only integer values, we may need to review different concepts of DEA. The first paper is notedabout integer data ,due to each point that projected on the frontier is integer point and according tothis theory exhibited axioms and then some of these axioms are rectified. according to rectifiedaxioms presented paper that each point can projected the point close the frontier provided that theprojection point dominated with integer point.in this paper, by intended axioms have extendedmodel that minimize the distance of projected point to frontier.in other words, we project theintended point that have minimum distance from the frontier as long as the projection pointdominates with integer point. With an example, we check out our model with past models.anempirical example illustrate the approach.

Keywords:

Data Envelopment Analysis , integer values , efficiency frontier , ideal distance