A Study on the (Q, r) Inventory Model under the Lead Time Uncertainty and its Application to the Multi-level Distribution System

주문 인도기간이 불확실한 상황에서의 (Q, r) 재고 부형과 다단계 분배 시스템의 응용에 관한 연구

In this paper, we find optimal policy for the (Q, r) inventory model under the lead time uncertainty. The (Q, r) inventory model is such that the fixed order quantity Q is placed whenever the level of on hand stock reaches the reorder point r. We first develop the single level inventory model as the basis for the analysis multi-level distribution systems. The functional problem is to determine when and how much to order in order to minimize the expected total cost per unit time, which includes the set up, inventory holding and inventory shortage cost. The model, then, is extended to the multi-level distribution system consisting of the factory, warehouses and retailers. In this case, we also find an optimal policy which minimizes the total cost of the contralized multi-level distribution system.