A GAUSSIAN FLUID MODEL

被引：13
作者：
DEBICKI, K
ROLSKI, T
机构：
[1] Mathematical Institute, University of Wrocław, Wrocław, 50-384
来源：
QUEUEING SYSTEMS | 1995年 / 20卷 / 3-4期
关键词：
FLUID MODEL; BUFFER CONTENT; ATM PROTOCOL; LINEAR LOGARITHMIC UPPER BOUND; GAUSS-MARKOV FLUID MODEL; AR-GAUSSIAN FLUID MODEL;
D O I：
10.1007/BF01245328
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A fluid model with infinite buffer is considered. The total net rate is a stationary Gaussian process with mean -c and covariance function R(t). Let Psi(x) be the probability that in steady state conditions the buffer content exceeds x. Under the condition integral(0)(infinity) t(2) \ R(t) \ dt < infinity we show that Psi admits a logarithmic linear upper bound, i.e. Psi(x) less than or equal to C exp[-gamma x]) o(exp[-gamma x]) and find gamma and C. Special cases are worked out when Ii is as in a Gauss-Markov or AR-Gaussian process.
引用
收藏
页码：433 / 452
页数：20
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