The impact of autocorrelation on queuing systems
Management Science
Effective bandwidths for multiclass Markov fluids and other ATM sources
IEEE/ACM Transactions on Networking (TON)
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Analysis, modeling and generation of self-similar VBR video traffic
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
M|G|Infinity Input Processes: A Versatile Class of Models for Network Traffic
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
Fractal traffic: measurements, modelling and performance evaluation
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 3)-Volume - Volume 3
Tail probabilities for a multiplexer with self-similar traffic
INFOCOM'96 Proceedings of the Fifteenth annual joint conference of the IEEE computer and communications societies conference on The conference on computer communications - Volume 3
A M/M/ queue in a semi-Markovian environment
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Subexponential loss rates in a GI/GI/1 queue with applications
Queueing Systems: Theory and Applications
Heavy traffic limits associated with M/G/∞ input processes
Queueing Systems: Theory and Applications
Performance evaluation of a queue fed by a Poisson Pareto burst process
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
M|G|Infinity Input Processes: A Versatile Class of Models for Network Traffic
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
Large Buffer Asymptotics for Fluid Queues with Heterogeneous M/G/∞ Weibullian Inputs
Queueing Systems: Theory and Applications
When Are On–Off Sources Sis?: Conditions And Applications
Probability in the Engineering and Informational Sciences
The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering
Queueing Systems: Theory and Applications
Power-law vs exponential queueing in a network traffic model
Performance Evaluation
Performance analysis of a Poisson-Pareto queue over the full range of system parameters
Computer Networks: The International Journal of Computer and Telecommunications Networking
On the discrete-time g/gi/∞ queue*
Probability in the Engineering and Informational Sciences
Snapshot simulation of internet traffic: queueing of fixed-rate flows
Proceedings of the 2nd International Conference on Simulation Tools and Techniques
A note on queues with M/G/∞ input
Operations Research Letters
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The infinite server model of Cox with arbitrary service time distribution appears to provide a large class of traffic models – Pareto and log-normal distributions have already been reported in the literature for several applications. Here we begin the analysis of the large buffer asymptotics for a multiplexer driven by this class of inputs. To do so we rely on recent results by Duffield and O’Connell on overflow probabilities for the general single server queue. In this paper we focus on the key step in this approach: The appropriate large deviations scaling is shown to be related to the forward recurrence time of the service time distribution, and a closed form expression is derived for the corresponding generalized limiting log-moment generating function associated with the input process. Three different regimes are identified. In a companion paper we apply these results to obtain the large buffer asymptotics under a variety of service time distributions.