To minimize the total cost of the allocation of delivery, costs related to post, resource allocation and the maximum delay in the supply chain flow shop scheduling problem

In this study an integrated production/distribution problem in flow shop scheduling with tardiness costs¡ inventory costs and distribution and resource allocation costs is modeled. Imagine a supply chain in which several jobs are to be processed on several machines. Each job has a contracted due date. This paper aims at proposing an efficient model for minimizing total production and distribution costs which include tardiness costs¡ inventory costs and distribution and resource allocation costs. The mixed integer non-linear programming of the problem is then presented. Considering that these problems fall into the group of NP-hard we utilize a NSGAII algorithm to solve the proposed problem. This problem has been solved with small dimensions and restrictions on the Pareto frontier obtained Epsilon limitation and large-scale NSGAII meta-heuristic algorithm as well as small-scale solved the problem solving methods (Epsilon restrictions and NSGAII) are compared with each other.