A Two Objective Model for Location-Allocation in a Supply Chain

In today's competitive world, location- allocation (LA) decisions are one of the most important aspects of supply chain (SC) optimization. This LA decisions are including selection of known sites for construction of facilities and allocation of the distribution network between the levels of SC. In this paper, a nonlinear programming model to location facilities and allocate the supply chain distribution network in order to minimize both the cost and time of three-echelon are presented. The proposed model due to computational complexity in high dimensions cannot be solved with conventional and accurate methods, Therefore to achieve a solution of a method metaheuristic called genetic algorithm is used. Finally, to examine and the effectiveness of the proposed algorithm, computational results obtained are compared with output of lingo 12 software.