A bi-objective mathematical model for closed-loop supply chain network design problem

In this paper, a bi-objective mixed integer linear optimization model for closed-loop supply chain network design (CLSCND) is developed. The proposed model includes both the forward and reverse directions and includes different type of facilities, i.e., manufacturing/remanufacturing centres, warehouses, and disassembly centres. The first objective function tries to minimize the total cost of supply chain while the second one aims at maximizing the responsiveness of the network in both forward and reverse directions, simultaneously. In order to solve the proposed bi-objective model, an augmented -constraint method is used by which a set of Pareto-optimal solutions for the problem is generated. Also, an illustrative numerical example is utilized to show the applicability and efficiency of the proposed optimization model.

Keywords:

Integrated forward/reverse supply chain , Responsiveness , Multi-objective optimization , Augmented -constraint