Please use this identifier to cite or link to this item: https://ruomoplus.lib.uom.gr/handle/8000/1775
Title: On value efficiency analysis and targeted benevolence cross efficiency
Authors: Ravanos, Panagiotis 
Karagiannis, Giannis 
Author Department Affiliations: Department of Economics 
Department of Economics 
Author School Affiliations: School of Economic and Regional Studies 
School of Economic and Regional Studies 
Subjects: FRASCATI__Social sciences__Economics and Business__Economics
FRASCATI__Social sciences__Economics and Business__Business and Management
Keywords: Data envelopment analysis
targeted Benevolence cross efficiency formulation
value efficiency analysis
Issue Date: 16-Jan-2024
Publisher: Taylor & Francis
Journal: Journal of the Operational Research Society 
ISSN: 0160-5682
Volume: 75
Issue: 11
Start page: 2101
End page: 2114
Abstract: 
In this article, we examine the relation between cross efficiency and Value Efficiency Analysis, two Data Envelopment Analysis related models for peer appraisal assessment. Particularly, we show that the Targeted Benevolence cross efficiency formulation is equivalent to the Value Efficiency Analysis model if either (i) the “reference” unit, i.e. the one whose vector of optimal multipliers is used to evaluate all others in the Targeted Benevolence formulation, or (ii), its radial projection if it is inefficient, is chosen as the Most Preferred Solution in Value Efficiency Analysis. An immediate implication of this result is an alternative and most frequently shorter way to compute the Targeted Benevolence cross-efficiency matrix, as we can do so by solving a series of Value Efficiency Analysis problems, each of which uses a different unit or its radial projection if it is not efficient as the Most Preferred Solution. For this purpose, we provide a four-step algorithm, from which it is clear that in most of the cases it is not necessary to solve all the relevant problems. This depends on the number of inefficient units that are (radially) projected in the strongly efficient frontier and the number of different sets of peers for these units.
URI: https://ruomoplus.lib.uom.gr/handle/8000/1775
DOI: 10.1080/01605682.2024.2303080
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Διεθνές
Corresponding Item Departments: Department of Economics
Department of Economics
Appears in Collections:Articles

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