Capacitated Serial Inventory Systems: Sample Path and Stability Properties Under Base-Stock Policies

• 成果类型: Article
• 署名作者: Huh, Woonghee Tim; Janakiraman, Ganesh; Nagarajan, Mahesh
• 署名单位: University of British Columbia; University of Texas System; University of Texas Dallas
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.1090.0779
• 发表日期: 2010
• 页码: 1017-1022
• 关键词: limited production capacity; uncertain demands; cost criterion; bounds; MODEL

摘要

We study a periodically reviewed multiechelon serial inventory system with a capacity constraint on the order quantity at every stage. Under echelon base-stock policies, we demonstrate a simple sample-path result that maps the echelon shortfalls in the serial system to the shortfalls of suitably defined single-stage systems. Because the shortfall processes of single-stage systems are well understood, our result allows us to reinterpret results in the literature on the stability and regeneration times of such multiechelon systems in a simpler fashion with weaker assumptions.