Queueing analysis of a large-scale system with a small parameter

Sergey Vasilyev, Galina Tsareva, Shakhmurad Kanzitdinov, Mohamed Adel Bouatta
In this paper the large-scaling queueing systems (LSQS) with an large number of servers is considered. It is assumed that LSQS has a Poisson input flow of requests with constant intensity. We describe performance dynamics of this LSQS using a system of di erential equations with a small parameter. This small parameter allows to describe the rapid of changes processes. We use the Dobrushin mean- eld approach and the simulation methods for this large-scaling queueing system analysis.