Σύνδεση μεθοδολογιών UTA-DEA

Καλογήρου, Αθανασία Α.

Master Thesis

Author

Καλογήρου, Αθανασία Α.

Date

2013-10-11

Abstract

The present diploma thesis is separated in two parts. In the first part, is examined the possibility of application of the linearity methodology of the DEA that is presented in paper Data of envelopment analysis with nonlinear virtual inputs and outputs of D. Despotis et al. in the methodology of UTA. DEA assumes that virtual outputs and virtual inputs are characterized by not-linear value functions. The paper above presents how these value functions can be presented in a linear way. In UTA, the total function of usefulness is the sum of not-linear or better at parts linear value functions. The linearity process that was applied for the DEA is applied here in the value function of the alternatives. With this change, is also presented the table for the problem of UTA. In the second part, it is checked if the affair of UTA that is the minimal price of criterion begins from a price various zero is equivalent with the affair that the minimal price is zero. For this control, it is presented a mathematic and an empirical solution. For the presentation of the empirical solution, accidental data in Matlab were examined and became control for different crowds of alternatives. The two solutions revealed the non equivalence of the two affairs.