Study on inventory problem of fashion supply chain with service level and lead time

In order to solve the inventory problem in current apparel industry,this article discussed the inventory problem of a two echelon supply chain which consists of a single-buyer and a single-vendor with service level constraint. For the purpose of meeting the actual situation,the demand during lead time is assumed to be normally distributed and the lead time can be shortened with continuous function. The impact of transport costs on the total cost of the inventory is also considered. Firstly,a basic model of the supply chain is setup and the decision variables are confirmed. Secondly,solution algorithm of the model based on the minimized inventory cost is proposed. Finally, through numerical examples, the effectiveness and feasibility of the model can be proved,with emphasis on the analysis of the influence of the initial value of various service levels on the optimal solution so as to demonstrate that the impact of the initial value on the result of the model is so small that it is negligible.