A fuzzy mathematical model for supplier selection and order allocation considering green vehicle routing problem

Recently, with the expansion of environmental issues and raising of customers' awareness, companies are experiencing huge pressure from shareholders and the government for greater compatibility with their environment. Companies and industry owners must implement green operations in their daily activities to be able to keep up with the competitive atmosphere of the environment. One of the most important operations to be implemented is cooperating with green suppliers. In this study, a multi‐objective mathematical model is proposed to select suppliers and allocate optimal orders to them in a two‐echelon supply chain, including supply and distribution echelons. The proposed model focuses on the routing of each supplier in addition to the selection of suppliers. Moreover, the possibility of storage, multi‐product and multi‐period state, and stair discount constitute the other assumptions of this model. Finally, to validate the proposed model, it is implemented in a food distribution chain in Iran. The obtained results indicated the efficiency and effectiveness of the proposed model.