This article develops a model of multi‐national supply chain activities, which incorporates currency storage units to manage currency flows associated with activities such as raw material procurement, processing, inventory control, transportation, and finished product sales. The core contribution of this model is that it facilitates the quantitative investigation of the influence of macroscopic economic factors such as ownership on supply chain operational decisions. The supply chain system is modeled as a batch‐storage network with recycle streams. The supply chain optimization problem is posed with the objective of minimizing the opportunity costs of annualized capital investments and currency/material inventories, while taking into account the benefit to stockholders in the numeraire currency. The major constraints on the optimization are that the material and currency storage units must not be depleted. A production and inventory analysis formulation (the periodic square wave model) provides useful expressions for the upper and lower bounds and for the average levels of the currency and material inventory holdings. The expressions for the Kuhn‐Tucker conditions of the optimization problem are reduced to a subproblem that allows development of analytical lot‐sizing equations. The lot sizes of procurement, production, transportation, and financial transactions can be determined in closed form once the average flow rates are known. The key result we obtain is that optimal value of the economic order quantity changes substantially with variation in ownership, thus showing quantitatively that ownership structure does impact plant operation. © 2018 American Institute of Chemical Engineers AIChE J, 64: 2418–2425, 2018

中文翻译：

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考虑所有权的批量存储网络优化设计

本文建立了一个跨国供应链活动的模型，该模型包含货币存储单元来管理与诸如原材料采购，加工，库存控制，运输和成品销售等活动相关的货币流。该模型的核心贡献在于，它有助于对宏观经济因素（如所有权）对供应链运营决策的影响进行定量研究。供应链系统被建模为具有回收流的批处理存储网络。提出供应链优化问题的目的是最大程度地降低年度资本投资和货币/材料库存的机会成本，同时考虑到以计价货币对股东的利益。优化的主要限制是不得耗尽物料和货币存储单位。生产和库存分析公式（周期性方波模型）为上下限以及货币和物料库存持有量的平均水平提供了有用的表达式。优化问题的Kuhn-Tucker条件的表达式被简化为一个子问题，可以开发分析批量方程。一旦知道平均流量，就可以以封闭形式确定采购，生产，运输和金融交易的批量。我们获得的关键结果是，经济订单数量的最优值会随着所有权的变化而显着变化，从而定量显示所有权结构确实会影响工厂的运营。AIChE J，64：2418-2425，2018