Radius of stability Region in data envelopment analysis with network structure

In today's world, due to the tight competition of companies, sensitivity analysis is of special importance for managers in maintaining their position. This issue can determine new strategies and distance from competitors. In this paper, a two-stage network structure was considered. The main goal is to determine a range for the inputs of each decision-making unit so that the efficiency of the entire network does not change. These changes have been made both in each entry and in all entries. With the help of data envelopment analysis models, a method has been designed to calculate a stability Region. The feasibility of this method has been checked with a set of data.