Super-Efficiency and Sensitivity Analysis in DEA for the Case of Exogenously Fixed Inputs
Subject Areas : Applied Mathematics Modeling
1 - Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
Keywords: Super-efficiency, Efficiency, Data envelopment analysis, Exogenously fixed inputs, Sensitivity analysis,
Abstract :
In some realistic situations there may exist exogenously fixed or non-discretionary factors that are beyond the control of management and need to be considered. When an under-evaluated decision-making unit (DMU) is not included in the reference set of the original data envelopment analysis (DEA) models, the resulting DEA models are called super-efficiency DEA models. In this paper, by means of the modified Banker and Morey’s model, we show that the super-efficiency score can be decomposed into two data perturbation components of a particular test frontier decision-making unit and the remaining DMUs. In this means, we run a sensitivity analysis by specifying what perturbations of discretionary data can be tolerated before frontier DMUs become nonfrontier.