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)
Tail probabilities for M/G/\infty input processes (I): Preliminary asymptotics
Queueing Systems: Theory and Applications
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
Tail probabilities for M/G/\infty input processes (I): Preliminary asymptotics
Queueing Systems: Theory and Applications
Queueing at large resources driven by long-tailed M/G/\infty-modulated processes
Queueing Systems: Theory and Applications
Heavy traffic limits associated with M/G/∞ input processes
Queueing Systems: Theory and Applications
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
The estimation of heavy-tailed probability density functions, their mixtures and quantiles
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Service overlay networks: SLAs, QoS, and bandwidth provisioning
IEEE/ACM Transactions on Networking (TON)
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
Effective bandwidth for a single server queueing system with fractional Brownian input
Performance Evaluation - Long range dependence and heavy tail distributions
QoS-aware bandwidth provisioning for IP network links
Computer Networks: The International Journal of Computer and Telecommunications Networking
The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering
Queueing Systems: Theory and Applications
An information-theoretic approach to network monitoring and measurement
IMC '05 Proceedings of the 5th ACM SIGCOMM conference on Internet Measurement
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
CDM-based design and performance evaluation of a robust AQM method for dynamic TCP/AQM networks
Computer Communications
On the discrete-time g/gi/∞ queue*
Probability in the Engineering and Informational Sciences
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
QoS-aware bandwidth provisioning for IP network links
Computer Networks: The International Journal of Computer and Telecommunications Networking
Transition from heavy to light tails in retransmission durations
INFOCOM'10 Proceedings of the 29th conference on Information communications
Adaptive bandwidth allocation method for long range dependence traffic
IPOM'06 Proceedings of the 6th IEEE international conference on IP Operations and Management
A new tool for generating realistic internet traffic in NS-3
Proceedings of the 4th International ICST Conference on Simulation Tools and Techniques
A note on queues with M/G/∞ input
Operations Research Letters
Retransmission Delays With Bounded Packets: Power-Law Body and Exponential Tail
IEEE/ACM Transactions on Networking (TON)
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We suggest the M|G|\infty input process as a viable model for network traffic due to its versatility and tractability. We characterize the process as short or long--range dependent by means of a simple test. To gauge its performance, we study the large buffer asymptotics of a multiplexer driven by an M|G|\infty input process. The decay rate of the tail probabilities for the buffer content (in steady--state) is investigated using large deviations techniques suggested by Duffield and O'Connell. We show that the selection of the appropriate large deviations scaling is 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. We apply our results to cases where the service time distribution in the M|G|\infty input model is (i) Rayleigh (ii) Gamma (iii) Geometric (iv) Weibull (v) Log--normal and (vi) Pareto -- cases (v) and (vi) have recently been found adequate for modeling packet traffic streams in certain networking applications. Finally, we comment on the insufficiency of the short-- vs. long--range dependence characterization of an input process as a means to accurately describe the corresponding buffer dynamics.