本篇論文主要是在經濟訂購量架構下,探討零售商在允許延遲付款的條件下所有的最適訂購政策;從Goyal (1985)開始探討最佳經濟訂購量並結合延遲付款條件以來,越來越多二階交易信用條件的論文逐漸被發表,有部分的論文結合了現金折扣策略也包含在其中。 本篇論文是以零售商的角度討論供應商到零售商、零售商到顧客之間的關係,最主要著重在結合二階交易信用條件以及多期現金折扣的策略去探討多種不同且複雜的狀況。 最後,本篇論文藉由建立包含最小成本函數的存貨模型決定出零售商的最適訂購週期與最適訂購量;本研究假設並且討論三種策略,這三種策略是為了讓零售商找出最適訂購政策,在完成假設後本研究使用微分法建立三個定理並且找出最適訂購週期。
Within the economic order quantity framework, the main purpose of this paper is to investigate the retailer’s optimal ordering policy under permissible delay in payments. After Goyal(1985) started to analyze EOQ under permissible delay in payments, more and more studies about two- level trade credit have been completed. But there are only some researches combine cash discount policies. This paper analyzes all the relationships including suppliers and customers on retailer’s viewpoint. The focus of this study is to integrate the “two- level trade credit” and “multi-period cash discounts” policies to probe more complex situations. Finally, this study establishes the retailer’s inventory model as a cost minimization function to determine the retailer’s optimal cycle time and optimal order quantity. Three policies (cases) are assumed, analyzed and discussed. Then we use derivative approach to develop three theorems to find out the optimal replenishment cycle time. Three theorems are established to describe the optimal ordering policy for the retailer.