Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods

The aim of the paper is to present and substantiate a technique to visualize DEA modelling results without any loss of mathematical rigour. The proposed family of parametric optimization methods allows one to construct an intersection of the multidimensional frontier with a two-dimensional plane det...

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Veröffentlicht in:The Journal of the Operational Research Society 2004-10, Vol.55 (10), p.1049-1058
Hauptverfasser: Krivonozhko, V E, Utkin, O B, Volodin, A V, Sablin, I A, Patrin, M
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Sprache:eng
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Zusammenfassung:The aim of the paper is to present and substantiate a technique to visualize DEA modelling results without any loss of mathematical rigour. The proposed family of parametric optimization methods allows one to construct an intersection of the multidimensional frontier with a two-dimensional plane determined by any pair of given directions. This approach reduces the efficiency analysis of production units to the investigation of well-known functions in economics. We also propose constructive methods to calculate marginal rates of substitution, marginal rates of transformation and so on.
ISSN:0160-5682
1476-9360
DOI:10.1057/palgrave.jors.2601759