Two-stage Network Models in DEA and DEA-R with Desirable and Undesirable Outputs

Authors

  • Bahram Keshtkar Department of Management, Najaf Abad Branch, Islamic Azad University, Najaf Abad, Iran
  • Mohammad Reza Mozaffari Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
  • Mohammad Reza Feylizadeh Department of Industrial Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran
  • Reza Maddahi Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran.

DOI:

https://doi.org/10.30495/jme.v18i0.3011

Keywords:

Two-stage Network Models, Undesirable Outputs, Desirable Outputs, DEA-R

Abstract

This paper proposes two-stage network models within the frameworks of Data Envelopment Analysis (DEA) and DEA-R, designed to accommodate both desirable and undesirable outputs. These non-radial models are developed under the assumption of constant returns to scale. By employing a multi-objective linear programming approach within non-radial additive DEA and DEA-R models, this study introduces a novel method for identifying suitable benchmarks for decision-making units, even in the presence of undesirable outputs [10] to [13]. The proposed models evaluate decision-making units based on the level of inefficiency within two-stage networks, with the calculation of total inefficiency in DEA and DEA-R serving as a criterion for assessing units in two-phase networks with undesirable outputs. The paper concludes with a case study on storage centers for electric power supply equipment in Fars province, illustrating the practical application and effectiveness of the proposed models.

 

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Published

2024-10-13

Issue

Vol. 18

Section

Vol. 18, No. 6, (2024)

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