The fixed charge problem is an important application of the class of mixed integer programming problems, which form the basis of many business and industry problems wherein a charge is associated with performing an activity at a nonzero level which does not depend on the level of the activity. The fixed charge can also be expressed as the set up time of getting a machine into service or the fixed elapsed time before a certain operation can commence. The fixed charge problem has been widely applied in many decision-making and optimization problems like the warehouse or plant location decisions, wherein there is a charge associated with opening the facility; and in transportation problems where there are fixed charges for transporting goods between supply points and demand points. Now a day different approach is available for find solution of fixed charge multi-objective transportation problem. In this paper we suggest grey situation decision making theory based method using membership function for find efficient solution of fixed charge multi-objective transportation problem with help of numerical example, the proposed method is illustrated.
Fixed charge multi-objective transportation problem, Grey situation decision making theory, Membership function, Efficient Solution
