O. V. Petrova, V. G. Ushakov, “Asymptotic analysis of the <nobr>$E_r(t)|G|1$</nobr> queue”, Inform. Primen., 2009, Volume 3, Issue 4,Pages <nobr>35

Asymptotic analysis of the $E_r(t)|G|1$ queue

O. V. Petrova^a, V. G. Ushakov^ba

^a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Institute for Problems of Informatics RAS

Abstract: The single server queue with time-dependent Erlangian input is considered. The service times have general distribution. The asymptotic behavior of the queue length with traffic intensity less than 1 and with arrival rate weakly depending upon time is investigated.

Keywords: $E_r(t)|G|1$ queue; time-dependent Erlangian input; asymptotic analysis.