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An economic lot-size model with partial backlogging hinging on waiting time and shortage period

机译:具有等待时间和短缺时间的部分积压的经济批量模型

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摘要

We study a continuous review inventory control system over a infinite-horizon with deterministic demand where shortage is partially backlogged. The backlogging is characterized using an approach in which the collective behavior of customers hinges on the waiting time and on the shortage period. We assume that the fraction of the customers who are not willing to wait is proportional to the ratio between the waiting time and the length of the shortage cycle. Taking into account the above assumption we determine the optimal inventory policy. Several models studied by other authors result to be particular cases of the considered model.
机译:我们研究了具有确定性需求的无限水平的连续审查库存控制系统,其中短缺部分被积压。积压的特征在于客户的集体行为取决于等待时间和短缺时段。我们假设不愿意等待的客户比例与等待时间和短缺周期的长度之比成正比。考虑到以上假设,我们确定了最佳库存策略。其他作者研究的几种模型是所考虑模型的特殊情况。

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