Sharif University of TechnologySharif Journal of Industrial Engineering & Management2676-4741Vol.26-1220101122DEVELOPMENT OF AN ALGORITHM FOR THE STABILITY REGION BY CHANGING THE REFERENCE SET IN DEADEVELOPMENT OF AN ALGORITHM FOR THE STABILITY REGION BY CHANGING THE REFERENCE SET IN DEA59645179FAMohammad ModarresDepartment of Industrial Engineering, Sharif University of TechnologyJournal Article20090118Studying the rate of changes in the efficiency of a unit when some changes occur in the under investigation unit data or other units data, is a considerable issue. In this research, we develop an approach to investigate the sensitivity of the parameters of a data envelopment analysis technique, and determine the stable region of a unit in comparison with others. For this purpose, first, we develop a mathematical model to determine the closest boundary onto which the specific unit will be projected, by changing its data. Then, by applying this model, we introduce an algorithm to define the stability region of that unit. This approach requires less calculation to determine and also relaxes many restrictions that are included in other approaches.Studying the rate of changes in the efficiency of a unit when some changes occur in the under investigation unit data or other units data, is a considerable issue. In this research, we develop an approach to investigate the sensitivity of the parameters of a data envelopment analysis technique, and determine the stable region of a unit in comparison with others. For this purpose, first, we develop a mathematical model to determine the closest boundary onto which the specific unit will be projected, by changing its data. Then, by applying this model, we introduce an algorithm to define the stability region of that unit. This approach requires less calculation to determine and also relaxes many restrictions that are included in other approaches.https://sjie.journals.sharif.edu/article_5179_0a9a0712f74b7469c16b23d5ba21caf3.pdf