A SCALING LIMIT FOR QUEUES IN SERIES
成果类型:
Article
署名作者:
Seppalainen, Timo
署名单位:
Iowa State University
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
发表日期:
1997
页码:
855-872
关键词:
摘要:
We derive a law of large numbers for a tagged particle in the one-dimensional totally asymmetric simple exclusion process under a scaling different from the usual Euler scaling. By interpreting the particles as the servers of a series of queues we use this result to verify an open conjecture about the scaling behavior of the departure times from a long series of queues.