A mixed integer programming model for integration closed-loop supply chain and locating its facilities

Recently, due to the importance of environmental criteria and the necessity in compliance with its laws, managers are looking for supply chain network design for their company that in addition to reducing costs, reducing environmental damages. This paper proposed a closed-loop supply chain network consists of three facilitates In the forward chain Including manufacturer, Distribution center and customer market and also four layers Including Collection center, disassembly center, repair and disposal center in the reverse chain . In this paper a mixed integer linear programming model is proposed and illustrated on a numerical example. The proposed model provides the optimal values of production and transportation quantities of manufactured and remanufactured products while solving the location problem of collection and distribution facilities. The numerical example is solved with LINGO 16 software and results of that are analyzed