延期付款和现金折扣策略下的最优库存模型

Delay in payment and an optimal inventory model with cash discount policy

文章在相关文献的基础上,重新考虑了变质率服从两参数的Weibull分布,分别假设需求受库存和受销售价格影响,建立了以库存系统费用最小为目标的零售商的最优库存模型,并在此基础上得到了最优订货数量和付款时间的判定方法;通过数据研究表明,折扣与延期支付2个要素对变质条件不同的需求函数影响是不同的,并呈现出一定规律。

Based on the related literature and under the condition that the deterioration rate follows two-parameter Weibull distribution,this paper creates an optimal inventory model.The model is built to minimize inventory system cost on the assumption that the demand curves are inventory-leveldependent and price-dependent respectively.A method to determine the optimal ordering quantity and payoff cycle is also proposed.Numerical examples show that delay in payment and cash discount have different influence on demand function in different deterioration situation,which takes on certain laws.