A new ranking method using virtual units

Since presenting a complete ranking of efficient Decision Making Units (DMUs) is necessary, this paper proposes a new approach in this topic. The pioneering work of Andersen and Petersen breaks down in some cases. However, the new approach uses a concept inferred from the multiplier model to rank the efficient DMUs of the DEA models. This concept proposes new virtual units corresponding with each efficient DMU. These units claim to have the same production technology. However, using these units in the Production Possibility Set (PPS) solve the new DEA model to give a complete ranking of DMUs. Finally, some real data are employed to show the ability of this method in comparison with AP ranking measure.