Application of multiple criteria goal programming for solving some management and production problems

Abstract

One method for solving multiple criteria fractional goal programming problem is proposed in this paper. In this method are introduced deviational variables that express increases or decreases of objective functions related to their given goals. The fractional objective functions are transformed to unfractional ones that contains deviational variables. An auxiliary objective function, which contains deviational variables only, is formulated and the problem is solved as a nonlinear or linear program. One example related to the optimal program of production in some production plant is presented in the paper.

U ovom radu se predlaže jedan postupak za rešavanje problema mutikriterijumskog razlomačkog ciljnog programiranja. Uvode se devijacione promenljive koje izražavaju povećanje ili smanjenje funkcija kriterijuma u odnosu na definisane ciljeve koji se žele postići. Funkcije cilja transformišu se u obične funkcije ograničenja koje sadrže devijacione promenljive. Formuliše se pomoćna funkcija kriterijuma koja sadrži samo devijacione promenljive i problem rešava kao zadatak nelinearnog ili linearnog programiranja. U radu je urađen jedan primer za određivanje optimalnog programa proizvodnje.