Moment properties of queueing systems and networks

We give a short survey of the moment properties of the basic regenerative queueing processes. Moreover, we show applicability of the regenerative simulation to estimate a steady-state performance measure of the positive recurrent basic process possessing long-range dependence. The moment properties of the embedded renewal process of regenerations play a crucial role in this analysis. We consider mainly isolated systems but also pay an attention to tandem networks. A few tail asymptotic results are given to illuminate a role of different service disciplines in the moment properties of the queueing processes.