Technical Note-Optimal Structural Results for Assemble-to-Order Generalized M-Systems

• 成果类型: Article
• 署名作者: Nadar, Emre; Akan, Mustafa; Scheller-Wolf, Alan
• 署名单位: Ihsan Dogramaci Bilkent University; Carnegie Mellon University
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.2014.1271
• 发表日期: 2014
• 页码: 571-579
• 关键词: multiple customer classes; demand classes; INVENTORY CONTROL; stock queue; allocation

摘要

We consider an assemble-to-order generalized M -system with multiple components and multiple products, batch ordering of components, random lead times, and lost sales. We model the system as an infinite-horizon Markov decision process and seek an optimal policy that specifies when a batch of components should be produced (i.e., inventory replenishment) and whether an arriving demand for each product should be satisfied (i. e., inventory allocation). We characterize optimal inventory replenishment and allocation policies under a mild condition on component batch sizes via a new type of policy: lattice-dependent base stock and lattice-dependent rationing.