An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights

Mehdi Toloo (), Madjid Tavana () and Francisco J. Santos-Arteaga ()
Additional contact information
Mehdi Toloo: VŠB-Technical University of Ostrava
Madjid Tavana: La Salle University
Francisco J. Santos-Arteaga: Free University of Bolzano

Central European Journal of Operations Research, 2019, vol. 27, issue 4, No 1, 887-904

Abstract: Abstract The problem of ranking efficient decision making units (DMUs) is of interest from both theoretical and practical points of view. In this paper, we propose an integrated data envelopment analysis and mixed integer non-linear programming (MINLP) model to find the most efficient DMU using a common set of weights. We linearize the MINLP model to an equivalent mixed integer linear programming (MILP) model by eliminating the non-linear constraints in which the products of variables are incorporated. The formulated MILP model is simpler and computationally more efficient. In addition, we introduce a model for finding the value of epsilon, since the improper choice of the non-Archimedean epsilon may result in infeasible conditions. We use a real-life facility layout problem to demonstrate the applicability and exhibit the efficacy of the proposed model.

Keywords: Data envelopment analysis; Common set of weights; Mixed integer linear programming; Most efficient DMU (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10100-017-0510-y

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