A MULTIOBJECTIVE PROGRAMMING FOR TRANSPORTATION PROBLEM WITH THE CONSIDERATION OF BOTH DEPOT TO CUSTOMER AND CUSTOMER TO CUSTOMER RELATIONSHIPS

Abstract

Abstract — A multiobjective programming for transportation model with the consideration of both depot to customer and customer to customer relationships is proposed in this research. The objectives are to minimize the total transportation cost which is the baseline objective and to minimize the overall independence value. A Lexicographic Goal Programming (LGP) is applied to the proposed model. A minimization of the total transportation cost is set to the first goal and a minimization of the overall independence value is set to the second goal of the proposed model. This model can obtain the better result than a single objective transportation model with a minimization of the total transportation cost objective. That is because the depot to customer relationship is considered in the first priority to get the lowest cost and the vicinity of customers in the same depot is concerned in the second priority to group near by customers to be served in the same depot if the capacity of the depot is sufficient. Moreover, each customer can be served by only one depot. These advantages are more compatible to the reality than conventional transportation model. Index Terms—Customer to Customer relationship,