Synergetic effects in queuing systems with periodical input flow and group arrivals

In this paper an aggregation of oneserver queueing systems with periodical arrivals of customers groups into multiserver queuing system is considered. A synergetic eect of a queue disappearance in the aggregated system is analyzed using a convergence of an aggregated input ow to the Wiener process and the invariance Donsker-Prokhorov principle.