Control of the queue length for queueing systems with a generous amount of service channels

The paper provides the analytical terms for estimation of average time of service waiting $\overline T_{line}$ in queueing systems (QS) that are derived as a result of some asymptotic task solution. Moreover, the simple expression which allows to evaluate the amount of QS service channels which are required to limit the average waiting time by define value $\overline T_{line}$ are presented. The obtained results could be used for work optimization of large-size call-centers and other queueing systems with a generous amount of service channels.