Using the right tools to support decision-making for managers is very important. Today, using mathematical methods to support managers in making decisions is prevalent. Data envelopment analysis is one of the mathematical methods used in the mentioned field. In recent years, researchers in this field have developed data envelopment analysis methods to a great extent. Many data organizations use to evaluate performance and other purposes are imprecise and uncertain. To solve this problem, one should use methods whose results are reliable. Stochastic, fuzzy-stochastic, fuzzy, robust, etc. models can be mentioned among these methods. Among non-deterministic methods, stochastic models are of particular importance. This article only reviews the existing stochastic methods for dealing with non-deterministic data. We have divided stochastic methods into four categories to understand the subject better. Also, the fit between the models and the data has been reviewed in the articles. The process mining method is suggested to determine the appropriate model for the available data. Finally, the weaknesses of some previous models have been introduced. Suggestions