Multiple Objective Linear Programming (MOLP) Problems with the Same Objective Space

Abstract

Under the linear mapping efficient extreme points in decision space of multiple objectives linear programming (MOLP) may not map to non dominated extreme points in objective space, condition that two or even more multiple objective linear programming (MOLP) problems to have the same objective space is given, the important of this study is that the Decision-Maker may depends on extreme points of the set of the objective space than that of the decision space since in most practical problems the number of objective is small compared to the number of the decision variables and so they have fewer extreme points. A simple production example is given to clarify this analysis.