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The inventory models under conditional trade credit in a supply chain system

机译：供应链系统中有条件贸易信贷下的库存模型

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In several recent investigations dealing with the economic order quantity with permissible delay in payments, the following assumptions are made: (A) The supplier always offers the retailer fully permissible delay in payments independent of the order quantity. (B) The annual interest I_k which is charged per dollar in stocks by the supplier is higher than the annual interest I_e earned on investment per dollar. (C) The unit purchase cost c is the same as the selling price s per unit. Huang [1] generalizes the concept of fully permissible delay in payments by advocating that the supplier would offer the retailer partially permissible delay in payments where the order quantity is smaller than a predetermined quantity to relax the assumption (A). Motivated essentially by Huang's work [1], the main purpose of this paper is twofold as stated below: (P1) This paper will extend Huang's work [1] by establishing new inventory models without having the assumptions (B) and (C) to match the real world situation. (P2) This paper will present new solution procedures different from those of Huang [1]. Among other things, these new solution procedures will show that those of Huang [1] will cause misuses under some circumstances. Several numerical examples illustrate the fact that the percentages of the cost penalty (PCP) of misuses are terribly high in some cases.
机译：在最近几项有关允许延期付款的经济订单数量的调查中，进行了以下假设：（A）供应商始终向零售商提供与订单数量无关的完全许可的延期付款。 （B）供应商每美元存货收取的年利息I_k高于每美元投资赚取的年利息I_e。 （C）单位购买成本c与每单位售价s相同。 Huang [1]通过主张供应商在订单数量小于预定数量的情况下向零售商提供零售商部分允许的付款延迟来放宽假设（A），从而概括了完全允许的付款延迟概念。基本上是由Huang的工作[1]推动的，本文的主要目的如下：（P1）本文将通过建立新的库存模型来扩展Huang的工作[1]，而无需假设（B）和（C）来假设。符合现实情况。 （P2）本文将介绍与Huang [1]不同的新解决方法。除其他外，这些新的解决方案程序将表明Huang [1]的那些程序在某些情况下会引起滥用。几个数字示例说明了这样一个事实，在某些情况下，滥用的成本损失（PCP）百分比非常高。

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