On the Optimal Policy Structure in Serial Inventory Systems with Lost Sales
成果类型：
Article
署名作者：
Huh, Woonghee Tim; Janakiraman, Ganesh
署名单位：
Columbia University; New York University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.1090.0716
发表日期：
2010
页码：
486-491
关键词：
摘要：
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.
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