For generality, we observed that some of the optimization methods lack the mathematical rigor and some of them are based on intuitive arguments which result in the solution procedures being questionable from logical viewpoints of a mathematical analysis such as those in the work by Ouyang et al. (2009). They consider an economic order quantity model for deteriorating items with partially permissible delays in payments linked to order quantity. Basically, their inventory models are interesting, however, they ignore explorations of interrelations of functional behaviors (continuity, monotonicity properties, differentiability, et cetera) of the total cost function to locate the optimal solution, so those shortcomings will naturally influence the implementation of their considered inventory model. Consequently, the main purpose of this paper is to provide accurate and reliable mathematical analytic solution procedures for different scenarios that overcome the shortcomings of Ouyang et al.

中文翻译：

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与供应链系统中的订单数量相关的有条件贸易信用的劣化项目的 EOQ 模型

一般而言，我们观察到一些优化方法缺乏数学严谨性，其中一些基于直观的论证，这导致求解过程从数学分析的逻辑观点来看是有问题的，例如欧阳等人的工作。(2009)。他们考虑了一个经济订单数量模型，用于与订单数量相关的部分允许延迟付款的恶化项目。基本上，他们的库存模型很有趣，但是，他们忽略了对总成本函数的功能行为（连续性、单调性、可微性等）的相互关系的探索来定位最优解，因此这些缺点自然会影响其实现考虑库存模型。最后，