允许缺货待补的季节性商品二阶联合库存最优订购策略

Two-stage optimal ordering policy of joint inventory with backlogging for seasonal commodity

针对季节性商品提出了二阶单周期缺货待补联合库存模型,其中假设零售商的库存策略采用报童模型且零售商的需求量服从正态分布。对制造商总利润函数的最优解,提出了充分与必要条件,以期可以简便迅速地获得制造商的最优生产批量以及最优订购周期。最后,通过数值算例及在管理上的含义对必要条件进行了充分的讨论。

This paper proposed a two-stage inventory model for seasonal commodity, in which the market and manufacturing channels were combined. This model can be used to solve the production policy and the order policies of the raw materials for the manufacturer. By assuming that the retailers＇ demand obeys normal distribution and that the retailer makes orders according to the newsboy model, the necessary and sufficient conditions were given for the optimal solution of production size, wholesale price, and replenishment cycle of raw materials for the manufacturer. Finally, the necessary condition was explored in order to obtain managerial insights and economic implications based on numerical examples and sensitivity analysis.