Abstract In intercontinental trade and economics goods are bought from a global supplier. On occasion, the expected lot may include a fraction of defective items. These imperfect items still have worth and can be sold to customers after repair. It is cost-effective and sustainable to rework such items in nearby repair workshops rather than return them. The reworked items can be returned from the workshop to the buyer when shortages are equal to the quantity of imperfect items. In the meantime, the supplier correspondingly deals a multi-period delay-in-payments strategy with purchaser. The established model maximizes the entire profit along with paybacks for interim financing. This study aims to develop a synergic inventory model to get the most profit by making an allowance for reworking, multi-period delay-in-payments policy, and shortages. The findings of the proposed model augment inventory management performance by monitoring cycle time as well as fraction of phase with optimistic inventory for a supply chain. The results demonstrate that profit is smaller if the permitted period given by supplier to buyer is equal to or greater than the cycle time, and profit is greater if the permitted period is smaller than the cycle time. The algebraic method is engaged to make a closed system optimum solution. The mathematical experiment of this study is constructed to provide management insights and tangible practices.

中文翻译：

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全球供应链中多期延迟付款和部分缺货整合对不合格品返工的协同效应

摘要 在洲际贸易和经济中，商品是从全球供应商处购买的。有时，预期批次可能包含一小部分有缺陷的物品。这些不完美的物品仍然有价值，可以在修复后出售给客户。在附近的维修车间对此类物品进行返工而不是将其退回是具有成本效益和可持续性的。当短缺量等于不完美物品的数量时，返工的物品可以从车间退回给买家。同时，供应商相应地与采购方制定多期延迟付款策略。既定的模型使整个利润最大化，同时也为中期融资带来回报。本研究旨在开发一种协同库存模型，通过考虑返工、多期延迟付款政策和短缺来获得最大利润。所提出模型的结果通过监控周期时间以及供应链乐观库存的阶段部分来增强库存管理绩效。结果表明，如果供应商给买方的允许期限等于或大于周期时间，则利润较小，如果允许期限小于周期时间，则利润较大。代数方法被用来做一个封闭系统的最优解。本研究的数学实验旨在提供管理见解和切实实践。结果表明，如果供应商给买方的允许期限等于或大于周期时间，则利润较小，如果允许期限小于周期时间，则利润较大。代数方法被用来制作一个封闭系统的最优解。本研究的数学实验旨在提供管理见解和切实实践。结果表明，如果供应商给买方的允许期限等于或大于周期时间，则利润较小，如果允许期限小于周期时间，则利润较大。代数方法被用来做一个封闭系统的最优解。本研究的数学实验旨在提供管理见解和切实实践。