%0 Journal Article %T Developing a Mathematical Model for Vendor Managed Inventory Considering Deterioration and Amelioration Items in a Three-Level Supply Chain %J Advances in Industrial Engineering %I University of Tehran %Z 2783-1744 %A Gholami, Mona %A Honarvar, Mahboobeh %D 2015 %\ 09/23/2015 %V 49 %N 2 %P 237-256 %! Developing a Mathematical Model for Vendor Managed Inventory Considering Deterioration and Amelioration Items in a Three-Level Supply Chain %K Genetic Algorithm %K Three levels supply chain %K Vendor managed inventory deteriorating and ameliorating items %R 10.22059/jieng.2015.57062 %X Todays, improving the competitiveness of companies and rapidly responding to diverse customers’ demands requires efficient management of the supply chain. Integration is one of the effective indices in a supply chain, and vendor managed inventory (VMI) is one of the innovative approaches in this field. In this paper, an integrated model based on a VMI system for deteriorating and ameliorating items in a three-level supply chain is developed. To coordinate retailers and producers in the supply chain, the common replenishment cycle is used which is a technique of a VMI system. The assumptions of this model consist of a deterministic demand rate for each retailer, certain production and deterioration rates. Furthermore, in this paper the amelioration of items is mentioned that follow the Weibull distribution. First, a mixed-integer nonlinear mathematical model is presented. Then to validate the proposed model, a numerical example is given. To solve the model, a genetic algorithm method is presented. %U https://aie.ut.ac.ir/article_57062_54d6a4c1749ae13af35ac87155dbe2a0.pdf