USING THE MINIMUM DISTANCE OF DMUs FROM THE FRONTIER OF THE PPS FOR EVALUATING GROUP PERFORMANCE OF DMUs IN DEA
G. R. Jahanshahloo (),
J. Vakili () and
S. M. Mirdehghan ()
Additional contact information G. R. Jahanshahloo: Faculty of Mathematical and Computer Sciences, Teacher Training University, 599, Taleghani Avenue, 15618 Tehran, Iran
J. Vakili: Faculty of Mathematical Sciences and Computer, Tabriz University, 29 Bahman Avenue, Tabriz, Iran; Faculty of Mathematical and Computer Sciences, Teacher Training University, 599, Taleghani Avenue, 15618 Tehran, Iran
S. M. Mirdehghan: Faculty of Mathematics, Shiraz University, Shiraz, Iran
Evaluating group performance of decision-making units (DMUs) is an application of data envelopment analysis (DEA) and usually provides a measure to compare the frontiers of the production possibility sets (PPSs) corresponding to different groups and the internal inefficiencies of DMUs associated with their group. In this paper, first, a method is presented for obtaining the minimum distance of DMUs from the frontier of the PPS by ‖⋅‖1, which itself can be a very important subject in DEA, and then, for stating an application of these distances, an approach is provided for evaluating group performance of DMUs based on the production ability of the PPSs such that both constant and variable returns to scale assumptions can be used in this method in contrast with some other methods. Therefore, providing the methods for both obtaining the minimum distance of DMUs from the frontier of the PPS and evaluating group performance of DMUs is the most important contribution of this paper.