Multi-Objective Optimization Model for the Green closed-loop Supply Chain for Reducing the Cost and Effects of Greenhouse Gas

Today, researchers have had a special focus on the design of closed loop and green supply chain networks due to the increasing of the environmental hazards and regulations in this area by governments, as well as resource constraints. In recent years, attention to reverse logistics, and especially its integration with direct logistics, is a significant factor in reducing supply chain costs. So, it is important to have a suitable planning to consider the above concepts simultaneously. Therefore, a bi-objective mathematical model is proposed in this article which minimizes the cost of supply chain network as well as the amount of carbon production. Also, Multi Choice Goal Programing with Utility function is used to solve bi-objective mathematical model. Then, ۱۰ examples are defined as test problem which solved by proposed method in Lingo software. Also, the sensitive analysis was done to show the results via changing in parameters. At the end, conclusion and suggestion for future studies are provided.

Keywords:

Green supply chain , Closed-loop supply chain , Multi choice goal programing with utility function , Greenhouse gas.