关键词: 库存, 变质物品, 短缺量拖后率, 需求依赖库存

Abstract: In this paper, a more general inventory model for deteriorating items with partial backlogging rate was developed, and the deterioration rate changed as the time was running on. When the inventory level was positive, the demand rate depended on the selling price; but when the inventory level was negative, some customers were more impatient to wait, therefore the sale opportunity was reduced and a bigger shortage led to a larger loss. With some analysis, the necessary condition for the existence of optimal solution to the general model was derived. The necessary conditions of the existence and uniqueness of the optimal solutions were introduced. At last, a case study was provided for the proposed model.

Key words: inventory, deteriorating item, partial backlogging rate, stock-dependent demand rate