Study of a dominance chance-constrained data envelopment analysis model

A kind of dominance chance-constrained data envelopment analysis model is provided in this paper based on the decision-making unit's stochastic inputs/outputs and the decision-maker's preference structure. The stochastic DEA efficiency of the decision-making unit is defined and the necessary conditions for efficiency evaluation are discussed. With the single random factor assumption, the stochastic DEA problems can be solved via the method of chance constrained programming and goal programming. Finally, an example is given to point out that dominance chance-constrained DEA model has a promising use in practice.