SOLVING LINEAR MULTI-OBJECTIVE PROGRAMMING PROBLEMS BY USING MULTIDIMENSIONAL DIFFERENTIAL TRANSFORMS

Abstract

Multidimensional differential transforms are proposed to be applied for the solution of the linear multi-objective programming problems. The multi-objective problem is red¬u¬c¬e¬d to the one-dimensional multiparametric problem with a generalized objective function by inserting weight coeffici¬ents which are considered as parameters. The obtained multipar¬a¬me¬t¬ric problem is solved by using multidimensional differential and simplex transforms. The change intervals of the weight coefficients (parameters), the multiparamet¬r¬i¬c optimal objec¬t¬i¬ve function and the optimal values of the variables in each change interval are formed as a result of the solution.