Designing a Mathematical Model for Optimum Assignment in the Two-stage Green Supply Chain using Network Data Envelopment Analysis and Electrical Circuits

Nowadays, most supply chains are starting to go green in their business with pay more attention to environmental protection as competitive advantage. Therefore, Designing a two-stage green supply chain for optimum assignment a green supplier to a green producer based on maximum efficiency and attention to intermediate products and processes is essential. Because, economic performance and environmental performance of the supply chain will increases. One of the methods used to evaluating efficiency in the green supply chain management, is data envelopment analysis (DEA). The traditional DEA methods for evaluating efficiency of supply chain processes and multi-stage systems not working properly, Because, each decision making units is assumed as a black box and ignore its internal processes. In order to overcome this deficiency, a novel two-stage network DEA will be presented based on the concepts of Electrical Engineering that ability to consider all inputs, Intermediate products, desirable and undesirable outputs between supplier and producer in the green supply chain for optimum assignment a supplier to producer based on maximum efficiency. The proposed model has been described by an application example and Its reliability has been confirmed.