Title: Russell-graph measure and super efficiency in data envelopment analysis

Authors: Alireza Amirteimoori; Sohrab Kordrostami; Leila Khoshandam

Addresses: Department of Mathematics, Islamic Azad University, Rasht 41648-13955, Iran ' Department of Mathematics, Islamic Azad University, Lahijan 41234-11231, Iran ' Department of Mathematics, Islamic Azad University, Rasht 41234-11231, Iran

Abstract: In non-parametric methods, if the number of operational units is relatively small when compared with the sum of number of inputs and outputs, many units are evaluated as efficient. The super-efficiency Data Envelopment Analysis (DEA) model can be used to discriminate between these efficient units. In this paper, an efficiency measure based on the weighted Russell-graph measure is proposed. By using this efficiency measure, a new super-efficiency DEA model is proposed to overcome the infeasibility problem of the existing methods. This approach is applied to 14 commercial bank branches and 15 US cities, respectively.

Keywords: DEA; data envelopment analysis; efficiency measures; super-efficiency; Russell graph; commercial banks; bank branches; non-parametric methods; operational units; unit efficiency; cities.

DOI: 10.1504/IJMOR.2013.050511

International Journal of Mathematics in Operational Research, 2013 Vol.5 No.1, pp.40 - 54

Published online: 31 Mar 2014 *

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