Joint Inventory Replenishments with Group Discounts Based on Invoice Value
研究如何利用基于发票总金额的批量折扣和订货规模经济，将多个商品分组进行联合补货，并证明最优分组遵循年使用金额非递减的规律，类似于ABC分类法。
The study focuses attention on a grouping procedure for the purpose of joint inventory replenishments from a single supplier. The grouping procedure exploits the group discounts available on the total purchase value of a group of index and the economies of scale of order placing costs. In particular it is shown that the optimal groups are formed such that the annual (dollar) usage values of the items do not decrease (may increase or stay the same), from the first to the last group. This is similar in concept to the well-known ABC classification of inventory items. The grouping problem is modeled as a “shortest-path” using the above property.