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A new approach for ranking efficient DMUs with data envelopment analysis

Sayyid Ali Banihashemi (Department of Industrial Engineering, Payame Noor University, Birjand, Iran)
Mohammad Khalilzadeh (CENTRUM Católica Graduate Business School, Lima, Peru and Pontificia Universidad Católica del Perú, Lima, Peru)

World Journal of Engineering

ISSN: 1708-5284

Article publication date: 3 June 2020

Issue publication date: 2 July 2020




Classical models of data envelopment analysis (DEA) calculate the efficiency of decision-making units do not differentiate between efficient units. The purpose of this paper is to present a new method for ranking efficient units and compare it with the other methods presented in this field.


In this paper, a new method is presented for ranking efficient units. To validate the proposed method, a real case, which was studied by Li et al. (2016) is examined and the rankings of the efficient units are compared with four other methods including the Andersen and Petersen’s super-efficiency, game theory and the concept of Shapley value and the technique for order of preference by similarity to ideal solution methods.


The results show that there is a high correlation between the rankings of efficient units obtained by the new proposed method and the other methods such as Andersen and Petersen’s super-efficiency, game theory and Shapley value methods.


The problem of ranking efficient units with the DEA method is an important issue for researchers. Extensive studies have been proposed to provide methods for ranking efficient units. This paper proposes a simple and fast method for ranking efficient units that achieves better results.



Compliance with ethical standards.

Conflict of interest the authors declare that they have no conflict of interest.


Banihashemi, S.A. and Khalilzadeh, M. (2020), "A new approach for ranking efficient DMUs with data envelopment analysis", World Journal of Engineering, Vol. 17 No. 4, pp. 573-583.



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