Scientific publications

The paper is devoted to the tail asymptotics analysis of the steady-state waiting times in the queuing systems in which service times have Weibull distributions. We deduce conditions under which the service times in two different queueing systems are stochastically ordered. Then we show that, under the same conditions, the normalizing sequences of the stationary waiting times and their extremal indexes are ordered. These results are then illustrated numerically for GI/G/1 queues with different shape parameters of the Weibull service times.