两货栈及延期支付和现金折扣情形下变质产品的最优订货策略

已有的两货栈库存模型通常不考虑将延期支付和现金折扣相结合的情形,但实际上,供应商在给予销售商延期支付政策的同时,也会实施现金折扣策略以激励销售商尽快付款,加快资金周转,减少坏账损失。为此,本文建立了延期支付和现金折扣情形下变质产品的两货栈库存模型,并对模型的最优解进行理论分析,给出了最优解的求解步骤。最后通过数值算例对模型的可行性进行了验证,并分析了模型参数变化对最优订货策略和最优付款时间的影响。

Optimal Order Policy for Deteriorating Items Under the Conditions of Two-warehouse,Delay in Payments and Cash Discounts

The existed two-warehouse inventory models usually do not consider combining permissible delay in payments and the cash discount. However, in fact, while the suppliers provide the vendors a permissible delay in payments, the cash discounts policy will be also carried out to encourage the vendors paying off as soon as possible. It would accelerate the suppliers’cash flows and reduce bad debt losses. Therefore, under the situation of combining policies of permissible delay in payments and the cash discount, a new two-warehouse inventory model for deteriorating items is developed. Then we provide theoretical analysis of the optimal solutions and the solving step to find the optimal order policy and the optimal timing of payments. Finally, numerical examples and sensitive analysis of parameters are presented to illustrate the developed model.