Contreras, I. , Brey, R. , Carazo, A. F. , BREY SÁNCHEZ, JOSÉ JAVIER
Si
Appl. Math. Model.
Article
Científica
2.251
1.143
01/09/2014
000340979500030
Data Envelopment Analysis (DEA) is a nonparametric technique originally conceived for efficiency analysis of a set of units. The main characteristic of DEA based procedures is endogenous determination of weighting vectors, i.e., the weighting vectors are determined as variables of the model. Nevertheless, DEA's applications have vastly exceeded its original target. In this paper, a DEA based model for the selection of a subgroup of alternatives or units is proposed. Considering a set of alternatives, the procedure seeks to determine the group that maximizes overall efficiency. The proposed model is characterized by free selection of weights and allows the inclusion of additional information, such as agent's preferences in terms of relative importance of the variables under consideration or interactions between alternatives. The solution is achieved by computing a mixed-integer linear programming model. Finally, the proposed model is applied to plan the deployment of filling stations in the province of Seville (Spain). (C) 2014 Elsevier Inc. All rights reserved.
DEA; Group selection; Mixed-integer linear programming