需求随价格变化的具有折扣的易变质物品的库存模型

On an Inventory Model for Deteriorating Items of Price-sensitive Demand and Quantity Discounts

本文研究了在需求随价格变化及物品易变质的条件下,当供应商给予数量折扣时的库存问题。证明了当供应商给予数量折扣时,零售商的需求量是增大的,并给出了供应商给予数量折扣时零售商的订货量和订货周期的计算方法。对物品变质率和需求价格敏感系数对零售商的订货量、订货周期、出售价格和单位时间利润的影响进行了数值分析,并给出了数值算例。

In this paper, we develop an inventory model for finding the replenishment schedule for an inventory system,in which items deteriorate at a constant rate and demand is price-sensitive when the supplier gives quantity discounts. It is shown that when the supplier gives quantity discounts, the buyer＇s demand increases. Sensitivity analysis with the numerical example shows that order quantity and replenishment cycle are very sensitive to the deterioration rate, but the retailer＇s profit per unit time is not. The retailer＇s unit selling price and profit per unit time are very sensitive to the price-sensitive parameter. A numerical example is presented.