Constructions of economic functions and calculations of marginal rates in data envelopment analysis using parametric optimization methods

The aim of the paper is to present and substantiate a technique to visualize DEA modeling 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.