A simple concept with minimum steps for solving the transportation problem to obtain the lowest shipping cost

Abstract

Transportation problem has been employed in different range of operations amd the optimization of such problem is significant in many areas. A simple penalty and rapid process is used in this paper in order to obtain the lowest shipping cost for the transportation problems. A new method is proposed to extract the optimal solution of transportation problem. First, we solve a transportation problem employing a new way, and we compare this new proposed method solution to the VAM and MODI methods. Following that, we obtain that the transportation solution of the proposed method is equal to the MODI solution. This result demonstrates that by utilizing the novel proposed strategy, we can identify the straight optimal solution to the majority of transportation problems. Finally, the solution process is mathematically presented.