Dual prices and objective harmonization of multicriteria programming models

Abstract

Investigations in this paper are connected to quantitative determination of additional indices related to the solution of multi objective program- ming models that might be useful for practical implementation. In this paper two techniques of generating of additional indices of multi objective programming models are given. First, the intervals of validity of dual prices considered necessary for economic analysis are given. Second, the formula- tion of the system of dual prices is presented. By investigating and comparing basic solutions, it is possible to find a solution that would be optimal for the system of objective functions as a whole. The subjectivity can be reduced by fonnulating a system of dual prices along with their intervals of validity, which would be the basis for determining of the target values for goal programming mod- els. Based on methods developed for single crite- ria models a method of analysis and coordination of coefficients of objective functions of multicri- teria models is presented. A proposal is given in the sense of coordination of values in the case of models with preferential goals.