Developing a Mathematical Model for a Green Closed-Loop Supply Chain with a Multi-Objective Gray Wolf Optimization Algorithm

Abstract Intense competition in today’s market and quick change customer preferences, along with the rapid development of technology globalization, have forced companies to work as members a supply chain instead individual companies. The success depends on integration coordination all its institutions form an efficient network structure. An leads cost savings throughout helps it respond needs faster. Accordingly, respect importance chain, this study developed mathematical model for design green closed-loop is presented. In model, economic environmental objectives are simultaneously optimized. order tackle two methods epsilon constraint multi-objective gray wolf optimization (MOGWO) algorithm been applied. results comparisons between mentioned show that MOGWO reduce average solving time from about 1300 seconds 88 seconds. last step research, application proposed method research problem, was implemented Dalan Kouh diary product Pareto optimal solutions were analyzed.