2 research outputs found
Fluid limits for the queue length of jobs in multiserver open queueing networks
The object of this research in the queueing theory is a theorem about the
Strong-Law-of-Large-Numbers (SLLN) under the conditions of heavy traffic in a multiserver
open queueing network. SLLN is known as a fluid limit or fluid approximation. In this
work, we prove that the long-term average rate of growth of the queue length process of a
multiserver open queueing network under heavy traffic strongly converges to a particular
vector of rates. SLLN is proved for the values of an important probabilistic
characteristic of the multiserver open queueing network investigated as well as the queue
length of jobs