A Modified Model to Find the Most Efficient Decision-Making Unit

Authors

  • Abbas Ghomashi Department of Mathematics‎, Ker.C., Islamic Azad‎ ‎University, ‎Kermanshah, ‎Iran.
  • Masoumeh Abbasi * Department of Mathematics‎, Ker.C., Islamic Azad‎ ‎University, ‎Kermanshah, ‎Iran.
  • Saeid Shahghobadi Department of Mathematics‎, Ker.C., Islamic Azad‎ ‎University, ‎Kermanshah, ‎Iran.

https://doi.org/10.48314/anowa.v1i4.60

Abstract

The use of Data-Envelopment Analysis (DEA) to determine the most efficient Decision Making Unit (DMU) has drawn attention in the literature. For some applications of DEA, decision-makers may only want to identify the most efficient DMU rather than determining the efficiencies of all possible DMUs. In this study, we present an modified model based on model in Özsoy et al. [1], A simplistic approach without epsilon to choose the most efficient unit in DEA. Expert systems with applications, 2021. 168: p. 114472] to identify the most efficient DMU. The proposed model with low complexity respect to model in [1] find only one DMU with an efficiency score greater than one, while all others receive scores strictly less than one. This structure enhances the model’s ability to fully rank all units. To demonstrate its effectiveness and compare it with two well-known models, the proposed model is applied to two real-world examples from the literature. The results show the appropriate performance of the proposed model in identifying the most efficient units and full ranking of the units.

Keywords:

Data envelopment analysis, Most efficient decision making unit, Mixed integer linear programming, Ranking

References

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Published

2025-12-08

Issue

Vol. 1 No. 4 (2025): Annals of Optimization With Applications (ANOWA)

Section

Articles

How to Cite

Ghomashi, A. ., Abbasi, M. ., & Shahghobadi, S. . (2025). A Modified Model to Find the Most Efficient Decision-Making Unit. Annals of Optimization With Applications, 1(4), 234-240. https://doi.org/10.48314/anowa.v1i4.60

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