Gaussian Approximation For Nonmarkovian Stochastic Networks In Heavy Traffic

Abstract

In the paper multichannel stochastic networks of [Mt | GI | oo]r-rype are considered. A non-homogeneous Poisson input flow of calls arrives at each node. Convergence of the service process in the uniform topology in heavy traffic is proved. Limit non-Markov Gaussian processes with the correlation characteristics written out in an explicit form via the model parameters are constructed.