This paper analyzes transient characteristics of Gaussian queues. More specifically, we determine the logarithmic asymptotics of P(Q_0 > pB,Q_TB > qB), where Q_t denotes the workload at time t. For any pair (p, q) three regimes can be distinguished: (A) For small values of T, one of the events {Q_0 > pB} and {Q_TB > qB} will essentially imply the other. (B) Then there is an intermediate range of values of T for which it is to be expected that both {Q_0 > pB} and {Q_TB > qB} are tight (in that none of them essentially implies the other), but that the time epochs 0 and T lie in the same busy period with overwhelming probability. (C) Finally, for large T still both events are tight, but now they occur in different busy periods with overwhelmin...
Abstract. In this paper we investigate Gaussian queues in the light-tra_c and in the heavy-tra_c reg...
This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful ...
htmlabstractWith (Qt)t denoting the stationary workload process in a queue fed by a L´evy input proc...
This paper analyzes transient characteristics of Gaussian queues. More specifically, we determine th...
htmlabstractIn recent years the significance of Gaussian processes to communication networks has gro...
In recent years the significance of Gaussian processes to communication networks has grown considera...
We analyze a single-node network with Brownian input. We first derive an explicit expression for the...
In this paper we study the supremum distribution of a general class of Gaussian processes {Xt : t 2 ...
In this paper we study Gaussian queues (that is, queues fed by Gaussian processes, such as fractiona...
In this paper, we study a queue fed by a large number $n$ of independent discrete-time Gaussian proc...
In this report we study the supremum distribution of a general class of Gaussian processes {Xt : t 2...
In a previous study logarithmic large-buffer asymptotics were derived for a two-class generalized pr...
We present three challenging open problems that originate from the analysis of the asymptotic behavi...
In this note, we consider a queue fed by a number of independent heterogeneous Gaussian sources. We ...
Gaussian traffic models are capable of representing a broad variety of correlation structures, rangi...
Abstract. In this paper we investigate Gaussian queues in the light-tra_c and in the heavy-tra_c reg...
This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful ...
htmlabstractWith (Qt)t denoting the stationary workload process in a queue fed by a L´evy input proc...
This paper analyzes transient characteristics of Gaussian queues. More specifically, we determine th...
htmlabstractIn recent years the significance of Gaussian processes to communication networks has gro...
In recent years the significance of Gaussian processes to communication networks has grown considera...
We analyze a single-node network with Brownian input. We first derive an explicit expression for the...
In this paper we study the supremum distribution of a general class of Gaussian processes {Xt : t 2 ...
In this paper we study Gaussian queues (that is, queues fed by Gaussian processes, such as fractiona...
In this paper, we study a queue fed by a large number $n$ of independent discrete-time Gaussian proc...
In this report we study the supremum distribution of a general class of Gaussian processes {Xt : t 2...
In a previous study logarithmic large-buffer asymptotics were derived for a two-class generalized pr...
We present three challenging open problems that originate from the analysis of the asymptotic behavi...
In this note, we consider a queue fed by a number of independent heterogeneous Gaussian sources. We ...
Gaussian traffic models are capable of representing a broad variety of correlation structures, rangi...
Abstract. In this paper we investigate Gaussian queues in the light-tra_c and in the heavy-tra_c reg...
This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful ...
htmlabstractWith (Qt)t denoting the stationary workload process in a queue fed by a L´evy input proc...