Conditions Of Gaussian Non-Markov Approximation For Multi-Channel Networks

In this paper the asymptotic analysis of multi-channel queueing networks is developed. Service processes in a heavy traffic regime for [ | , and -models are considered. Functional limit theorems of diffusion approximation type for service processes are formulated under convergence in uniform topology. A limit non-Markov Gaussian process is constructed, its correlation characteristics are represented in an explicit form via network parameters. | ] t M M ∞ [ | | ] r t m M E ∞ [ | | ] t M GI ∞