On how to properly calculate the Euclidean distance-based measure in DEA

Recently, in a data envelopment analysis framework, Amirteimoori and Kordrostami [A Euclidean distance-based measure of efficiency in data envelopment analysis, Optimization 59 (2010), pp. 985-996] introduced a Euclidean distance-based measure of efficiency in order to obtain the shortest path to the strongly efficient frontier from an assessed unit. In this article, we show a drawback of the aforementioned approach and two examples of its consequences. In order to overcome this weakness, we slightly modify a model introduced by Aparicio etal. [Closest targets and minimum distance to the Pareto-efficient frontier in DEA, J. Prod. Anal. 28 (2007), pp. 209-218].