DIFFUSION LIMITS OF LIMITED PROCESSOR SHARING QUEUES
成果类型：
Article
署名作者：
Zhang, Jiheng; Dai, J. G.; Zwart, Bert
署名单位：
Hong Kong University of Science & Technology; University System of Georgia; Georgia Institute of Technology; Centrum Wiskunde & Informatica (CWI)
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/10-AAP709
发表日期：
2011
页码：
745-799
关键词：
摘要：
We consider a processor sharing queue where the number of jobs served at any time is limited to K, with the excess jobs waiting in a buffer. We use random counting measures on the positive axis to model this system. The limit of this measure-valued process is obtained under diffusion scaling and heavy traffic conditions. As a consequence, the limit of the system size process is proved to be a piece-wise reflected Brownian motion.