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

Author

Listed:
  • Mehdi Toloo

    (VŠB-Technical University of Ostrava)

  • Madjid Tavana

    (La Salle University
    University of Paderborn)

  • Francisco J. Santos-Arteaga

    (Free University of Bolzano)

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.

Suggested Citation

  • Mehdi Toloo & Madjid Tavana & Francisco J. Santos-Arteaga, 2019. "An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(4), pages 887-904, December.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:4:d:10.1007_s10100-017-0510-y
    DOI: 10.1007/s10100-017-0510-y
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    References listed on IDEAS

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    Cited by:

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