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The single-manufacturer single-retailer integrated production-delivery lot sizing model with production capacity under stochastic lead time demand

机译:单制造商单零售商综合生产 - 交付批量尺寸模型,具有随机交换时间需求下的生产能力

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This paper develops an integrated production-delivery lot sizing model in which a manufacturer supplies a product a retailer. The manufacturer produces the product at a finite rate and the production rate is assumed to be smaller than market demand rate. Meanwhile, we assume that the lead time demand is stochastic and that shortages are permitted. The lead time and the reorder point are in this model as decision variables. The objective is to determine the optimal ordering quantity, reorder point, lead time and the delivery number during each production cycle which minimize the expected total cost per unit time of the manufacturer and the retailer by giving an effective iterative algorithm. A numerical example is given as an illustration of this algorithm for the integrated system.
机译:本文开发了综合生产 - 交付批量尺寸模型,其中制造商提供了零售商的产品。制造商以有限速率生产产品,并假设生产率小于市场需求率。同时,我们假设提前期需求是随机的,并且允许短缺。作为决策变量,在该模型中,提前期和重新排序点在该模型中。目的是在每个生产周期中确定最佳排序量,重新排序点,提前时间和交付数,通过提供有效的迭代算法,最小化制造商和零售商的每单位时间的预期总成本。向数值示例作为本集成系统的该算法的图示。

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