Large deviations of a modified Jackson network: Stability and rough asymptotics
成果类型：
Article
署名作者：
Foley, RD; McDonald, DR
署名单位：
University System of Georgia; Georgia Institute of Technology; University of Ottawa
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/105051604000000666
发表日期：
2005
页码：
519-541
关键词：
摘要：
Consider a modified, stable, two node Jackson network where server 2 helps server 1 when server 2 is idle. The probability of a large deviation of the number of customers at node one can be calculated using the flat boundary theory of Schwartz and Weiss [Large Deviations Performance Analysis (1994), Chapman and Hall, New York]. Surprisingly, however, these calculations show that the proportion of time spent on the boundary, where server 2 is idle, may be zero. This is in sharp contrast to the unmodified Jackson network which spends a nonzero proportion of time on this boundary.
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