Asymptotically Optimal Control of Make-to-Stock Systems

• 成果类型: Article; Early Access
• 署名作者: Gao, Xuefeng; Huang, Junfei
• 署名单位: Chinese University of Hong Kong; Chinese University of Hong Kong
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2021.161
• 发表日期: 2023
• 关键词: multiclass queuing-networks; heavy-traffic limits; convex delay costs; INVENTORY CONTROL; STABILITY

摘要

We consider multiclass make-to-stock production/inventory systems in which the manager makes three decisions, including pricing, outsourcing, and scheduling, to maximize the long-run average profit. For a sequence of systems in the heavy-traffic regime, with linear or strictly convex holding/waiting cost functions, we propose a sequence of policies and establish its asymptotic optimality. Our proof combines the lower bound approach and a thorough steady-state analysis of the systems. We also establish general results on the existence and tightness of the stationary distributions of the state processes under a more general family of policies.