On the Optimal Policy Structure in Serial Inventory Systems with Lost Sales
On the Optimal Policy Structure in Serial Inventory Systems with Lost Sales
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DOI：
10.1287/opre.1090.0716
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发表时间：
2010-03
期刊：
影响因子：
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通讯作者：
W. T. Huh;G. Janakiraman
中科院分区：
文献类型：
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作者：
W. T. Huh;G. Janakiraman
我们研究了一个定期回顾的序列库存系统，在该系统中，来自外部客户的过剩需求丢失了。我们得到了该系统中最优序量向量的基本性质。特别地，我们得到了每个阶段的最优订货量对当前库存水平向量的敏感度(或者更数学地说，导数)的界。我们的分析使用了L-自然-凸性的概念，该概念曾在离散凸分析中被研究过，最近被用于研究销售损失的单阶段库存系统。我们还评论了我们的分析如何扩展到具有容量限制和/或延交的模型。
We study a periodically reviewed, serial inventory system in which excess demand from external customers is lost. We derive elementary properties of the vector of optimal order quantities in this system. In particular, we derive bounds on the sensitivity (or, more mathematically, the derivative) of the optimal order quantity at each stage to the vector of the current inventory levels. Our analysis uses the concept of L-natural-convexity, which was studied in discrete convex analysis and recently used in the study of single-stage inventory systems with lost sales. We also remark on how our analysis extends to models with capacity constraints and/or backordering.