Abstract. Sensitivity analysis in data envelopment analysis is studied for the additive model for arbitrary additive changes of all data that preserve efficiency of an efficient decision making unit. In particular, the case of the decrease (increase) of outputs of efficient (inefficient) decision making units or/and the increase (decrease) of inputs of efficient (inefficient) decision making units respectively, for which efficiency of an efficient decision making unit is preserved, is considered. Sufficient conditions which preserve efficiency of an efficient decision making unit under changes of all data are developed for these cases. In that way it can be found out how to change outputs or/and inputs while preserving efficiency of all efficient decision making units. An illustrative numerical example is provided.
1991 Mathematics Subject Classification. 90C05, 90C31, 90C50.
Key words and phrases. Data envelopment analysis, efficiency, additive model, sensitivity analysis, linear programing.