SENSITIVITY ANALYSIS OF EFFICIENT AND INEFFICIENT UNITS IN INTEGER-VALUED DATA ENVELOPMENT ANALYSIS

Subject Areas : International Journal of Mathematical Modelling & Computations

Shokoofeh Banihashemi ¹ , Ghasem Tohidi ² , Masoud Sanei ³

1 - Faculty of Economics, Allameh Tabatabai University Iran, Islamic Republic of Academic member of Department of Mathematics, Computer and Statistics
2 - Central Branch, Islamic Azad University Iran, Islamic Republic of Academic member Department of Mathematics
3 - Central Branch, Islamic Azad University Iran, Islamic Republic of Academic member Department of Mathematics

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: Data Envelopment Analysis (DEA), sensitivity, Integer Data EnvelopmentAnalysis(IDEA), stability region, decision making unit,

Abstract :

One of the issues in Data Envelopment Analysis (DEA) is sensitivity and stability region of the speci c decision making unit (DMU), included ecient and inecient DMUs. In sensitivity analysis of ecient DMUs,the largest region should be found namely stability region thatdata variations are only for ecient DMU under evaluation and the data for the remainingDMUs are assumed xed. Also ecient DMU under evaluation remains ecient with thesevariations. In sensitivity analysis of inecient DMU, it can obtain an eciency score whichis de ned by the manager. In traditional DEA we assume that all inputs and outputs are realamounts and consider continuous inputs and outputs. Although,there are some applicationsin which one or more inputs and/or outputs can only take integer quantities. In this paper,we obtain the stability region for ecient DMU and the eciency score of a speci c inecientDMU changes to a de ned eciency score by management, with integer data