Green supply chain network design under uncertainty conditions with the mathematical model and solving it with a NSGA II algorithm

Purpose: In this paper a mathematical model for the green supply chainnetwork problem is designed. In this research, we seek to optimize twoinconsistent and conflicting goals of the problem which are as follows:۱.Minimization of costs ۲.Minimization of environmental impacts, using of theeconomic indicator ۹۹ method.Methodology: In this paper, two methods of Epsilon constraint and NSGA IIalgorithm are used to solve the two-objective model with the objective functionsof minimizing network costs and minimizing emissions.Findings: The results show that the introduced NSGA II algorithm has a highefficiency in forming efficient solutions in a short time.Originality/Value: In this paper, a two-objective model for green supply chainnetwork is modeled and solved with the aim of reducing network costs andreducing greenhouse gas emissions.

Keywords:

Green supply chain , Multi-objective optimization , Cost , Eco-indicator ۹۹