基于延期支付的非立即变质物品的库存模型

Inventory Model for Non-Instantaneous Deteriorating Items under Permissible Payment Delay

一类短保质期变质产品,如生鲜蔬菜、水果等,增加其库存展示量能为顾客提供更多的拣选机会,从而刺激顾客增加购买量。对此,在供应商给予零售商固定延期支付期限且在综合分析已有变质物品的库存模型的基础上,建立了一个更能准确反映当前存货水平和需求率的库存模型。模型中以零售商的年总费用最小为目标讨论了模型的最优解,通过模型的分析求解,得到零售商的最优订货周期及最优订货量的简单判定方法。通过具体算例,结合灵敏度分析,分别分析了物品的固定保鲜期、物品的变质率及供应商给与零售商的延期支付期限对零售商最优订货策略的影响。

For the selling of deteriorating items, such as fresh vegetables and fruits in supermarkets, it is usually observed that if large quantities are displayed it can attract more customers and generate more sale. Based on this observation, the inventory control problem is studied under the condition that payment delay is permissible. A mathematic model is developed for the minimization of cost per year. This model describes the relation between inventory level and demand rate better than the existing models. With this model, the optimal replenishment cycle time and order quantity under various circumstances can be found. Numerical examples are given to demonstrate the application of the proposed method. By sensitivity analysis, it shows how the variation of the fresh time, the deteriorating rate, and the credit period impact the optimal ordering policy.