Scale Efficiency in DEA and DEA-R with Weight Restriction

In data envelopment analyze (DEA) the scale efficiency in the input-oriented CCR model is less than or equal to the scale efficiency in DEA based on the fractional analysis (DEA-R). Also, the scale efficiency in case of multiple inputs and one output and vice versa the scale efficiencies are equal in DEA and DEA-R. In this paper, first, DEA-R model with weight restrictions when there is relative data is recommended. Second, the scale efficiencies in a constant return to scale are compared with each other in DEA and DEA-R models. At the end, a numerical example is provided for the proposed models with 27DMUs.