An Introduction to Hybrid Model Inventory Control with a Green Supplier Selection Model under Uncertainty

In the current decade, determining the most appropriate supplier as a strategic factor in the supply chain has attracted lots of consideration. On the other hand, organizations do necessary measures to implement green supply chain management in order to improve environmental and economic performance. An important way to implement green supply chain management, could be revising the method of purchase. Existing Vendor managed inventory is a business initiative that providers can maintain the existing units of purchased product. In this study, a Multi-objective mathematical model has been developed to solve a VMI problem in two echelon supply chain with suppliers and a buyer. To establish a green supply chain, this model minimizes the cost of VMI system and maximizes the value of the goal. Also, the two objectives problem has been one-objective using Global criteria method and a numeric example has been provided to illustrate adequacy of this strategy. The algorithm implemented and shows good results in reasonable time complexity. It also helps decision makers and managers in the optimal, efficient and low-cost solution (number of products and number of retailers and recapitalization cycles, etc.) in VMI discussion.