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Optimal retailer's replenishment policy for the EPQ model under the supplier's trade credit policy

机译：供应商贸易信贷政策下针对EPQ模型的最佳零售商补货政策

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摘要

This paper investigates the optimal replenishment policy under conditions of permissible delay in payments within an economic production quantity (EPQ) framework. In 1985, Goyal assumed that: (1) The unit selling price and the unit purchasing price are equal. (2) The replenishment rate is infinite. (3) At the end of the credit period, the account is settled. The retailer starts paying for higher interest charges on the items in stock and returns money of the remaining balance immediately when the items are sold. The main purpose of this paper is to modify Goyal's model to presume that the unit selling price and the unit purchasing price are not necessarily equal to reflect the real-life situations, and assumes the replenishment rate is finite. Furthermore, this paper will propose that at the end of the credit period, the retailer will make a partial payment on total purchasing cost and pay off the remaining balance by loan from the bank. One theorem is obtained to explore the convexity of the total annual relevant cost function. Three theorems are developed to determine the optimal cycle time and the optimal order quantity. Numerical examples are given to illustrate these theorems.
机译：本文研究了在经济生产量（EPQ）框架内允许延迟付款的情况下的最佳补货政策。 1985年，Goyal假设：（1）单位销售价格和单位购买价格相等。 （2）补货率是无限的。 （3）在信贷期结束时，帐户已结清。零售商开始为库存物品支付更高的利息费用，并在出售物品时立即退还剩余的钱款。本文的主要目的是修改Goyal模型，以假定单位销售价格和单位购买价格不一定等于反映现实情况，并假设补货率是有限的。此外，本文建议在信贷期结束时，零售商将部分支付总采购成本，并通过向银行贷款来偿还剩余余额。获得了一个定理，以探索总年度相关成本函数的凸性。建立了三个定理，以确定最佳循环时间和最佳订货量。数值例子说明了这些定理。

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