Finding the closest efficient targets in DEA by a numeration method: the FDH non-convex technology

Satisfying the Production Possibility Set (PPS) in Free Disposability Hull (FDH) property, there is only a few approaches which discuss on identifying the closest efficient targets of Decision Making Units (DMUs) in Data Envelopment Analysis (DEA). In this paper, without solving any optimization pro...

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Bibliographic Details
Published inBoletim da Sociedade Paranaense de Matemática Vol. 41; pp. 1 - 14
Main Authors Vakili, Javad, Sadighidizaji, Rouhollah
Format Journal Article
LanguageEnglish
Published 01.01.2023
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Summary:Satisfying the Production Possibility Set (PPS) in Free Disposability Hull (FDH) property, there is only a few approaches which discuss on identifying the closest efficient targets of Decision Making Units (DMUs) in Data Envelopment Analysis (DEA). In this paper, without solving any optimization problem, a successful numeration method is proposed to compute the minimum distance of units from the strong efficient frontier of the FDH non-convex PPS. In fact, by some ratios obtained from a linear mixed-integer bi-level programming problem, the closest efficient targets of units are calculated. Moreover, there is an interesting discuss about simplifying a linear mixed-integer bi-level programming problem to reach to the ratios. Finally, the applicability of the proposed method to a real-world problem is illustrated through a numerical example
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.51654