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A Three-Layer Supply Chain EPQ Model for Price- and Stock-Dependent Stochastic Demand with Imperfect Item Under Rework

机译:具有返工的不完全项目的价格和库存相关随机需求的三层供应链EPQ模型

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In this paper, we have developed an integrated supplier-manufacturer-retailer, joint economic lot-sizing model for the items with stochastic demand and imperfect quality. The supplier produces the item (raw material) up to certain time, which is a decision variable, and sends it to the manufacturer. Now, the manufacturer produces the item in small cycles and the production process of manufacturer is imperfect which produces certain number of defective items. A 100 % screening process for detecting the imperfect quality items is conducted, and at the end of each cycle, the imperfect items are accumulated and are reworked by the manufacturer. Thus, ultimately the retailer receives the perfect quality item. We consider that the delivery quantity to the retailer depends on the price and stock-dependent stochastic demand of the retailer. The model considers the impact of business strategies such as optimal time, optimal ordering size of raw material, production rate, etc. in different sectors on collaborating marketing system. An analytical method is applied to optimize the production time and production rate to obtain minimum total cost. Finally, numerical results, which have several interesting managerial insights and implications, and the sensitivity analysis are presented and discussed for illustrative purposes.
机译:在本文中,我们针对需求随机且质量不佳的商品,开发了一个集成的供应商-制造商-零售商联合经济批量模型。供应商在特定时间之前生产物料(原材料),这是一个决策变量,并将其发送给制造商。现在,制造商以较小的周期生产该物品,并且制造商的生产过程不完善,这会产生一定数量的有缺陷的物品。进行100%的筛选过程以检测不合格的质量项目,并且在每个周期结束时,不合格的项目将被积累并由制造商进行返工。因此,最终零售商获得了完美质量的商品。我们认为,向零售商的交付数量取决于零售商的价格和与库存有关的随机需求。该模型考虑了不同部门的最佳时间,最佳原材料订购量,生产率等业务策略对协作营销系统的影响。采用一种分析方法来优化生产时间和生产率,以获得最低的总成本。最后,出于说明性目的,提出并讨论了具有几个有趣的管理见解和含义的数值结果以及敏感性分析。

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