A Gaussian fluid model

A fluid model with infinite buffer is considered. The total net rate is a stationary Gaussian process with means -c and covariance function . Let be the probability that in steady state conditions the buffer content exceeds . Under the condition the authors show that - admits a logarithmic linear upper bound, i.e. and find and C. Special cases are worked out when R is as in a Gauss-Markov or AR-Gaussian process.