We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time
distribution has a heavy tail, ie, a tail behaviour like t− ν with 1< ν⩽ 2, so that the mean is …

Two of the most popular approximations for the distribution of the steady-state waiting time,
W∞, of the M/G/1 queue are the so-called heavy-traffic approximation and heavy-tailed …

In this paper, the asymptotic behaviour of the distribution tail of the stationary waiting time W
in the GI/GI/2 FCFS queue is studied. Under subexponential-type assumptions on the …

We consider the single server queue with service in random order. For a large class of
heavy-tailed service time distributions, we determine the asymptotic behavior of the waiting …

In modern teletraffic applications of queueing theory, service time distributions B (t) with a
heavy tail occur, ie, 1-B (t)/spl sim/Ct/sup-v/for t/spl rarr//spl infin/with v> 1. For such service …

We characterise the tail behaviour of the busy period distribution in the GI/G/1 queue under
the assumption that the tail of the service time distribution is of intermediate regular variation …

2014 For the M/G/1 queueing system with traffic intensity a 1 it will be shown that if the tail pf
the service time distribution is a regular varying function at infinity, so is the tail of the …

We consider an M/G/1 queue with FCFS queue discipline. We present asymptotic
expansions for tail probabilities of the stationary waiting time when the service time …

We consider the maximum waiting time along the first n customers in the G1/G/1 queue. We
use strong approximations to prove, under regularity conditions, convergence of the …

We present upper and lower bounds for the tail distribution of the stationary waiting time D in
the stable GI/GI/s first-come first-served (FCFS) queue. These bounds depend on the value …