Stochastic data envelopment analysis for estimating most productive scale size power distribution units in Iran

As many authors pointed out, in many real applications, the data of production processes cannot be precisely measured. On the other hand, data envelopment analysis (DEA) models are very sensitive to possible data errors. For this reason, using a methodology that allows the analyst to deal with imprecise data becomes an issue of great interest in these contexts. This paper introduces a stochastic approach based on models introduced in [6, 9] for estimating most productive scale size power distribution units in Iran. Previous approaches have, generally, used deterministic data envelopment analysis models in the literature. The proposed approach uses a data envelopment analysis(DEA) model with considering stochastic data to estimate most productive scale size companies. To obtain numerical results, a deterministic equivalent of the stochastic model is used which can be converted to a quadratic program. Under fairly general conditions this model is replaced by an ordinary deterministic data envelopment analysis model. Seventeen Iranian electricity distribution units have been considered in this study.

کلیدواژه ها:

Stochastic data ، Most productive scale size ، Power distribution units