Sensitivity Analysis and Finding the Stability Region with Adding DMUs in DEA

Abstract

One of the important issues in data envelopment analysis (DEA) is sensitivity analysis. Heretofore the existent studies have considered the data modification of inputs and outputs in one or multiple DMUs. In this paper the number of DMUs is increased and a stability region is obtained in by applying defining hyperplanes in which if the added DMU (only one DMU) is in this region then all of the extreme efficient units will be remained on the frontier. Then it is shown that the obtained region is the largest stability region. Finally the mentioned stability region for a number of DMUs is obtained and the results are reported.