Hadi Nasseri - Department of Mathematics, University of Mazandaran, Babolsar, Iran
Omid Gholami - Department of Mathematics, University of Mazandaran, Babolsar, Iran Maryam Olfati, Technical University of Ostrava, Ostrava, Czech Republic
Maryam Olfati - Technical University of Ostrava, Ostrava, Czech Republic

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 rankingmeasure.

Data Envelopment Analysis, Ranking, Input and Output weights, Relative Similar Units