A new mixed integer linear model for selecting the best decision making units in data envelopment analysis

Authors:
A. A. Foroughi
Affiliations:
Department of Mathematics, University of Qom, Isfahan Old Road, Qom 3716146611, Iran
Venue:
Computers and Industrial Engineering
Year:
2011

Citing 4
Cited 2

A procedure for ranking efficient units in data envelopment analysis

Management Science
Finding the most efficient DMUs in DEA: An improved integrated model

Computers and Industrial Engineering
Short Communication: Comments on finding the most efficient DMUs in DEA: An improved integrated model

Computers and Industrial Engineering
Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems

Information Sciences: an International Journal

Short Communication: Improved data envelopment analysis models for evaluating interval efficiencies of decision-making units

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Alternative mixed integer linear programming models for identifying the most efficient decision making unit in data envelopment analysis

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Abstract

In a recent paper by Amin (Amin, Gholam R. (2009). Comment on finding the most efficient DMUs in DEA: An improved integrated model. Computers & Industrial Engineering, 56, 1701-1702), he proposed an improved approach to determine a single efficient DMU as the most (or the best) efficient DMU. It will be shown that this nonlinear mixed integer model may fail to produce a solution since it can be infeasible in some cases. In this paper, a linear mixed integer model is proposed which is feasible and can produce a single efficient DMU as well. The model can also be extended to rank all extreme efficient DMUs. Some properties and advantages of the model will be explained. The contents of the paper will be illustrated by some numerical examples including a real data set of nineteen facility layout alternatives.