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Sensitivity in DEA using an approximate inverse matrix

In this paper sensitivity analysis of the Charnes-Cooper-Rhodes (CCR) model in data envelopment analysis (DEA) is studied for the case of perturbation of all outputs and of all inputs of an efficient decision making unit (DMU). Using optimal basis matrix inverse approximation, preservation of efficiency for an efficient DMU approximately under these perturbations is introduced. Sufficient conditions for an efficient DMU to preserve its efficiency approximately are obtained. An illustrative example is provided.

Data envelopment analysis (DEA); CCR model; optimal basis matrix inverse approximation; sensitivty analysis; linear programming

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