Super- Sufficiency Procedure for Investigating Efficient Units Ranking in Stochastic Environments

Super-efficiencyfor investigating ranking efficiency of decision making units with stochastic inputs and outputs is addressed in this paper. Astochastic supper-efficiency model is developed in data envelopment analysis and its deterministic equivalent is derived, which is a nonlinear program. Using a simulation example and its result analysis, researchers found that this model is not appropriate for ranking efficient units. In fact, true efficiency and stochastic super-efficiency are negatively correlated for observation subsets.