An Optimization Model to Develop an Integrated Logistics Network Under Periodic Demand

In this study, the integrated forward/reverse logistics network was investigated, and a capacitated multi-stage logistics network design was proposed by formulating a generalized logistics network problem into a mixed-integer nonlinear programming model (MINLP) for minimizing the total cost of the closed-loop supply chain network. Moreover the proposed model is solved by using optimization solver which provides the decisions related to the facility location problem, optimum quantity of shipped product, and facility capacity. Numerical results show the power of the proposed MINLP model to avoid the sub-optimality caused by separate design of the forward and reverse logistics networks and to handle periodic demand