2019 : Total opportunity cost matrix–Minimal total: A new approach to determine initial basic feasible solution of a transportation problem

Erma Suryani ST., MT., Ph.D
Bilqis Amaliah S.Kom., M.Kom.
Dr.Eng. Chastine Fatichah S.Kom, M.Kom


Abstract

Transportation Problem (TP) deals with cost planning for delivering the product from the source to the destination and Initial Basic Feasible Solution (IBFS) is presented to find the way out in obtaining an optimal solution. IBFS is an important element to reach an optimal result. The previous methods related to it did not always provide the satisfied result all the time. Therefore a new method called Total Opportunity Cost Matrix – Minimal Total (TOCM-MT) to determine IBFS as a basic solution to solve TP was proposed. The objective is to achieve a total cost with similar or closer values to the optimal solution. TOCM for the initial matrix and a better mechanism are highly considered to obtain IBFS. Thirty-one numerical examples, in which twenty-five were selected from some journals and six were generated randomly, were used to evaluate the performance of it. The proposed method has been compared to Vogel’s …