Integer Solutions via Goal Programming to Hierarchical Systems

Decision making to a hierarchical system is a difficult task in general, if several levels and large number of decision variables are involved in a system. The difficulty further increases if some or all the decision variables are restricted to discrete values. To this end Goal Programming provides a suitable answer. In this paper, we first establish goal programming model to the hierarchical systems. Then integer goal programming method is applied to find the solution. Finally, we demonstrate the solution procedure of the proposed method using numerical examples for different types of hierarchical systems. We are interested in purely integer solutions only.