Design of Mathematical Modeling in a Green Supply Chain Network by Collection Centers in the Environment

Nowadays, Economic systems play an important role in environment's field. Along with the rapid change in global manufacturing scenario, environmental and social issues are becoming more important in managing any business. Increasing pressures and challenges to improve economic and environmental performance have been caused developing countries in generally in particular to consider and to start implementing green supply chain management. Green Supply Chain Network Design and Management are an approach to improve performance of the process and products according to the requirements of the environmental regulations. It is emerging as an important approach which not only reduces environmental issues but also brings economic benefit to manufacturers. Green Supply Chain Management (GSCM) has a significant influence to reduce environment's risks. Choosing the suitable supplier is a key strategic decision for productions and logistics management on the supply chain management. The purpose of this study is to describe the GSCM, to determine the allocation of products between plants, collection centers as well as effect of GSCM to the system's cost is investigated. In this paper, GSCM with multiple and conflicting objectives such as reducing costs, increasing customer's level of service and increased flexibility (accountability), respectively by providing mathematical model for optimal allocation of manufacturing products to market demand. In the event of a problem return them to factory pays the collection centers. Also, Green Supply Chain Network Design that includes several manufacturing plants, collection centers, and production with the aim of minimizing the total cost of the chain to be considered.