Network design of a closed-loop supply chain with uncertain demand and return

In this paper, a facility location model is proposed for a general closed-loop supply chain network. The model is designed for multi plants, demand markets, collection centers, and products. The goal is to know how many and which plants and collection centers should be open, and which products and in which quantities should be stock in them. In addition, the model is developed to consider uncertainty in demand and return using fuzzy programming. A numerical example is conducted to show the procedure.