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Sensitivity in Data Envelopment Analysis for Arbitrary Perturbations of All Data in the Charnes-Cooper-Rhodes Model

Sensitivity analysis in Data Envelopment Analysis (DEA) is studied for arbitrary additive perturbations of all data in the Charnes-Cooper-Rhodes (CCR) ratio model for which efficiency of an efficient decision making unit (DMU) is preserved. Sufficient conditions for an efficient DMU to preserve its efficiency under the perturbations of all data are found. Region of efficiency and region of joint efficiency are introduced. In that way it can be found out how to change outputs or/and inputs while preserving efficiency of all efficient DMUs. An illustrative numerical example is provided.

Data envelopment analysis, efficiency, CCR model, sensitivity analysis, linear programming

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