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 …

In present teletraffic applications of queueing theory service time distributions B(t) with a
heavy tail occur, ie 1-B(t)∼t^-ν for t→∞ with ν<1. For such service time distributions not …

We consider two parallel, infinite capacity, M/G/1 queues characterized by (U_ {1}(t), U_
{2}(t)) with U_ {j}(t) denoting the unfinished work (buffer content) in queue j. A new arrival is …

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 …

Recently, there has been much interest in the behavior of queues with heavy‐tailed service
time distributions. This interest has been triggered by a large number of traffic …

By exploiting an infinite-server-model lower bound, we show that the tails of the steady-state
and transient waiting-time distributions in the M/GI/s queue with unlimited waiting room and …

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 …

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 provide additional descriptions of the steady-state waiting-time distribution in the M/G/1
queue with the last-in firstout (LIFO) service discipline. We establish heavy-traffic limits for …