a mixed integer linear programming model for the design of remanufacturing closed–loop supply chain network

closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. in this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. first, a mixed-integer linear programming formulation is developed to maximize the total profit. the main contribution of the proposed model is addressing two economic viability issues of closed-loop supply chain. the first issue is the collection of sufficient quantity of end-of-life products are assured by retailers against an acquisition price. the second issue is exploiting the benefits of colocation of forward facilities and reverse facilities. the presented model is solved by lingo for some test problems. computational results and sensitivity analysis are conducted to show the performance of the proposed model.