On Comparison of Waiting Time Extremal Indexes in Queueing Systems with Weibull Service Times

Bounds and Maxima for the Workload in a Multiclass Orbit Queue

“…We note that while the d.f. F W (1) of the stationary workload in the system Σ (1) (being an M/G/1 system) is obtained in explicit form in (27), the corresponding d.f. for a stationary workload in the system Σ (2) is available only in the form of the LST.…”

“…We also mention some works in this field of the authors of this research [26][27][28][29][30]. The extreme behaviour of the stationary waiting time in classical GI/G/1 systems has been studied in the works [26,27]. Moreover, it has been proved in [30] that, if service times are stochastically ordered in two systems, then the extremal indexes of stationary waiting times are ordered in the opposite way.…”

“…The topic of extreme values of the performance indexes in the queuing setting is studied in [19][20][21][22][23][24][25], to mention a few. We also mention some works in this field of the authors of this research [26][27][28][29][30]. The extreme behaviour of the stationary waiting time in classical GI/G/1 systems has been studied in the works [26,27].…”