Add to ORKGAbstract This paper considers the stationary queue length and waiting time distributions in a FIFO BMAP/GI/1 queue with heavy-tailed service times and that with heavy-tailed batch sizes. In each case, we provide sufficient conditions under which the stationary queue length and waiting time distributions are subexponential. Furthermore, we obtain asymptotic relationships between the tail distributions of the stationary queue length and waiting time
textabstractFor the $GI/G/1$-queueing model with traffic load $a<1$, service time distribution $B(t)...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
In this paper, we consider single server queueing system with a finite buffer, MAP input and indepen...
In this paper, the asymptotic behaviour of the distribution tail of the stationary waiting time W in...
We consider the classical M/G/1 queue with two priority classes and the nonpreemptive and preemptive...
AbstractThis paper considers a stable GI/GI/1 queue with subexponential service time distribution. U...
For a general class of closed feedforward fork and join queueing networks, we derive the tail asympt...
This paper considers a heterogeneous M/G/2 queue. The service times at server 1 are exponentially di...
The main results deal with the GI/GI/1 queues with infinite means of the service times and interarr...
This paper considers a stable GI/GI/1 queue with subexponential service time distribution. Under nat...
We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the glo...
AbstractThis study concerns the waiting time wk of the kth arrival to a single-server queueing syste...
AbstractWe study the tail asymptotics of the r.v. X(T) where {X(t)} is a stochastic process with a l...
steady state. In particular, we investigate the tail behavior of P (V> x) as x! 1 with V being th...
In this paper we study the asymptotics of the queue length in a buffer fed by an M/G/&infin; inp...
textabstractFor the $GI/G/1$-queueing model with traffic load $a<1$, service time distribution $B(t)...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
In this paper, we consider single server queueing system with a finite buffer, MAP input and indepen...
In this paper, the asymptotic behaviour of the distribution tail of the stationary waiting time W in...
We consider the classical M/G/1 queue with two priority classes and the nonpreemptive and preemptive...
AbstractThis paper considers a stable GI/GI/1 queue with subexponential service time distribution. U...
For a general class of closed feedforward fork and join queueing networks, we derive the tail asympt...
This paper considers a heterogeneous M/G/2 queue. The service times at server 1 are exponentially di...
The main results deal with the GI/GI/1 queues with infinite means of the service times and interarr...
This paper considers a stable GI/GI/1 queue with subexponential service time distribution. Under nat...
We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the glo...
AbstractThis study concerns the waiting time wk of the kth arrival to a single-server queueing syste...
AbstractWe study the tail asymptotics of the r.v. X(T) where {X(t)} is a stochastic process with a l...
steady state. In particular, we investigate the tail behavior of P (V> x) as x! 1 with V being th...
In this paper we study the asymptotics of the queue length in a buffer fed by an M/G/&infin; inp...
textabstractFor the $GI/G/1$-queueing model with traffic load $a<1$, service time distribution $B(t)...
We consider a GI/G/1 queue in which the service time distribution and/or the interarrival time distr...
In this paper, we consider single server queueing system with a finite buffer, MAP input and indepen...