Analysis of an open non-Markovian $GI-(GI\mid\infty)^K$ queueing network with high-rate renewal arrival process

We analyze an open non-Markovian queueing network with high-rate renewal arrival process, Markovian routing, arbitrary service policy, and unlimited number of servers at nodes. We obtain mean values for the number of busy servers at nodes of the queueing network in question. We show that, under an infinitely increasing arrival rate, the multivariate distribution of the number of busy servers at network nodes can be approximated by a multivariate normal distribution; we find parameters of this distribution.