Design of a multi-stage transportation network in a supply chain system: Formulation and ecient solution procedure

Nowadays, Supply Chain Management (SCM) is an interesting problem that has attracted the attention of many researchers. Transportation network design is one of the most important elds of SCM. In this paper, an integrated multi-stage and multiproduct logistic network design including forward and reverse logistic is considered. At rst, a Mixed Integer Nonlinear Programming model (MINLP) is formulated in such a way as to minimize purchasing and transportation costs. Then, a hybrid priority-based Genetic Algorithm (pb-GA), and Simulated Annealing algorithm (SA) are developed in two phases to nd the proper solutions. The solution is represented by a matrix and a vector. Response Surface Methodology (RSM) is used in order to tune the signicant parameters of the algorithm. Several test problems are generated in order to examine the proposed meta-heuristic algorithm performance.