Dynamic Lead-Time Quotation for an M/M/1 Base-Stock Inventory Queue

• 成果类型: Article
• 署名作者: Savasaneril, Secil; Griffin, Paul M.; Keskinocak, Pinar
• 署名单位: Middle East Technical University; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; University System of Georgia; Georgia Institute of Technology
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.1090.0717
• 发表日期: 2010
• 页码: 383-395
• 关键词: production systems; customer classes; single-machine; ORDER; MODEL; flexibility; guarantees; decisions; selection; facility

摘要

We study a dynamic lead-time quotation problem in a base-stock inventory system characterized by lead-time sensitive Poisson demand and exponentially distributed service times. We show that the optimal profit is unimodal in the base-stock level. We compare the base-stock system with a make-to-order (MTO) system and show that the lead-time quotes are lower in an MTO system and that increasing the base-stock level does not necessarily decrease the expected number of customers waiting. Numerical results show that when customers are less sensitive to lead-time quotes, the benefit of quoting lead times with a higher precision is significant, whereas when customers are more sensitive to lead-time quotes, the benefit of holding inventory is significant.