CONTROL OF THE MULTICLASS G/G/1 QUEUE IN THE MODERATE DEVIATION REGIME

• 成果类型: Article
• 署名作者: Atar, Rami; Biswas, Anup
• 署名单位: Technion Israel Institute of Technology
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/13-AAP971
• 发表日期: 2014
• 页码: 2033-2069
• 关键词: RISK-SENSITIVE CONTROL; Asymptotic Optimality; networks; Servers

摘要

A multi-class single-server system with general service time distributions is studied in a moderate deviation heavy traffic regime. In the scaling limit, an optimal control problem associated with the model is shown to be governed by a differential game that can be explicitly solved. While the characterization of the limit by a differential game is akin to results at the large deviation scale, the analysis of the problem is closely related to the much studied area of control in heavy traffic at the diffusion scale.