Mohammad Izadikhah - Department of Mathematics, College of Science, Arak-Branch, Islamic Azad University, Arak, Iran
Mohammad Ehsanifar - Department of Industrial engineering, Arak Branch, Islamic Azad University, Arak, Iran
Saman Malekian - Department of Industrial engineering, Arak Branch, Islamic Azad University, Arak, Iran

In this paper, we use an input oriented chance-constrained DEA model withrandom inputs and outputs. A super-eciency model with chance constraintsis used for ranking. However, for convenience in calculations a non-linear deterministicequivalent model is obtained to solve the models. The non-linearmodel is converted into a model with quadratic constraints to solve the nonlineardeterministic model. Finally, data related to twenty-eight maintenancegroups of Iranian Aluminum Company (IRALCO) is used to demonstrate theapplicability of the used Models in this paper.

Data envelopment analysis, Chance constraints, Random variables, Quadratic constraints, Super-efficiency