An approach multiple criteria network data envelopment analysis model

Abstract When the number of Decision-Making Units (DMUs) is not large enough compared to the total number of input parameters and outputs, traditional Data Envelopment Analysis (DEA) and Network Data Envelopment Analysis (NDEA) models often produce solutions that identify many DMUs as efficient, in addition to obtaining unrealistic weight distributions. In fact, this poor discrimination power and unrealistic weight distribution presented by DEA and NDEA models remain a major challenge, leading to the development of models to improve this performance. Thus, this paper proposes a Multiple Criteria Network Data Envelopment Analysis (MCNDEA), based on relational NDEA models. The idea of this model is to be used in network structures. To test the MCNDEA model, one a real instance linked to an evaluation problem of academic departments of a public university was used. Other instances were also used to validate the proposed MCNDEA, and these tests are included in the supplementary files. Finally, it should be noted that, in summary, the model proposed in this article had greater discrimination power of the analyzed DMUs, being able to identify the most efficient departments in each of the considered stages, besides pointing out to the University Management points of improvement regarding the best use of its resources for each department.

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Publication Details

Journal
Operational Research
Published
2026-03-27
DOI
https://doi.org/10.1007/s12351-026-01041-4
Primary Topic
Efficiency Analysis Using DEA
Type
article
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article

An approach multiple criteria network data envelopment analysis model

Erica Ximenes Dias, F. A. Silva, Rafael de Carvalho Miranda, Fernando Augusto Silva Marins
Operational Research
Efficiency Analysis Using DEA
article

An approach multiple criteria network data envelopment analysis model

Erica Ximenes Dias, F. A. Silva, Rafael de Carvalho Miranda, Fernando Augusto Silva Marins
article en

Abstract

Abstract When the number of Decision-Making Units (DMUs) is not large enough compared to the total number of input parameters and outputs, traditional Data Envelopment Analysis (DEA) and Network Data Envelopment Analysis (NDEA) models often produce solutions that identify many DMUs as efficient, in addition to obtaining unrealistic weight distributions. In fact, this poor discrimination power and unrealistic weight distribution presented by DEA and NDEA models remain a major challenge, leading to the development of models to improve this performance. Thus, this paper proposes a Multiple Criteria Network Data Envelopment Analysis (MCNDEA), based on relational NDEA models. The idea of this model is to be used in network structures. To test the MCNDEA model, one a real instance linked to an evaluation problem of academic departments of a public university was used. Other instances were also used to validate the proposed MCNDEA, and these tests are included in the supplementary files. Finally, it should be noted that, in summary, the model proposed in this article had greater discrimination power of the analyzed DMUs, being able to identify the most efficient departments in each of the considered stages, besides pointing out to the University Management points of improvement regarding the best use of its resources for each department.

Operational ResearchVol. 26(2)
Universidade de São Paulo (BR), Universidade Federal de Itajubá (BR)
Peace, Justice and strong institutions, Reduced inequalities
Openalex Percentile: Top 7%
Efficiency Analysis Using DEA
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