Add to ORKGtextabstractWe consider a $GI/G/1$ queue in which the service time distribution and/or the interarrival time distribution has a heavy tail, i.e., a tail behaviour like $t^{-nu$ with $1<nu leq 2$, so that the mean is finite but the variance is infinite. We prove a heavy-traffic limit theorem for the distribution of the stationary waiting time ${bf W$. If the tail of the service time distribution is heavier than that of the interarrival time distribution, and the traffic load $a rightarrow 1$, then ${bf W$, multiplied by an appropriate `coefficient of contraction' that is a function of $a$, converges in distribution to the Kovalenko distribution. If the tail of the interarrival time distribution is heavier than that of the service time distri...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
AbstractThis study concerns the waiting time wk of the kth arrival to a single-server queueing syste...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
We consider a $GI/G/1$ queue in which the service time distribution and/or the interarrival time dis...
textabstractFor the $GI/G/1$-queueing model with traffic load $a<1$, service time distribution $B(t)...
The classic $GI/G/1$ queueing model of which the tail of the service time and/or the interarrival ti...
For the GI/G/1 queueing model with traffic load a < 1, service time distribution B(t) and interar...
Abstract. Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to...
Heavy-traffic limit theory is concerned with queues that operate close to criticality and face sever...
Heavy-traffic limit theory is concerned with queues that operate close to criticality and face sever...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
AbstractThis study concerns the waiting time wk of the kth arrival to a single-server queueing syste...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
We consider a $GI/G/1$ queue in which the service time distribution and/or the interarrival time dis...
textabstractFor the $GI/G/1$-queueing model with traffic load $a<1$, service time distribution $B(t)...
The classic $GI/G/1$ queueing model of which the tail of the service time and/or the interarrival ti...
For the GI/G/1 queueing model with traffic load a < 1, service time distribution B(t) and interar...
Abstract. Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to...
Heavy-traffic limit theory is concerned with queues that operate close to criticality and face sever...
Heavy-traffic limit theory is concerned with queues that operate close to criticality and face sever...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
In modern teletraffic applications of queueing theory, service time distributions B(t) with a heavy ...
AbstractThis study concerns the waiting time wk of the kth arrival to a single-server queueing syste...