A storage model with a two-state random environment
Operations Research - Supplement to Operations Research: stochastic processes
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
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)
Self-similarity in World Wide Web traffic: evidence and possible causes
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Fluid queues and regular variation
Performance Evaluation
IEEE/ACM Transactions on Networking (TON)
Long-tail buffer-content distributions in broadband networks
Performance Evaluation
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
Mathematics of Operations Research
On the M/G/1 queue with heavy-tailed service time distributions
On the M/G/1 queue with heavy-tailed service time distributions
Fluid queues with long-tailed activity period distributions
Fluid queues with long-tailed activity period distributions
Heavy-traffic analysis for the $GI/G/1$ queue with heavy-tailed distributions
Heavy-traffic analysis for the $GI/G/1$ queue with heavy-tailed distributions
The busy period in the fluid queue
The busy period in the fluid queue
On the use of fractional Brownian motion in the theory of connectionless networks
IEEE Journal on Selected Areas in Communications
A M/M/ queue in a semi-Markovian environment
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Large Deviations for Small Buffers: An Insensitivity Result
Queueing Systems: Theory and Applications
Tail Asymptotics for HOL Priority Queues Handling a Large Number of Independent Stationary Sources
Queueing Systems: Theory and Applications
The Asymptotic Workload Behavior of Two Coupled Queues
Queueing Systems: Theory and Applications
Large Buffer Asymptotics for Fluid Queues with Heterogeneous M/G/∞ Weibullian Inputs
Queueing Systems: Theory and Applications
A TANDEM FLUID QUEUE WITH GRADUAL INPUT
Probability in the Engineering and Informational Sciences
FLUID QUEUES AND MOUNTAIN PROCESSES
Probability in the Engineering and Informational Sciences
Performance of a Leaky Bucket System with Long-Range Dependent Input Traffic
Queueing Systems: Theory and Applications
Fluid Queues with Heavy-Tailed M/G/∞ Input
Mathematics of Operations Research
Multiclass Markovian fluid queues
Queueing Systems: Theory and Applications
Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue
Performance Evaluation
Non-asymptotic delay bounds for networks with heavy-tailed traffic
INFOCOM'10 Proceedings of the 29th conference on Information communications
Tandem fluid queues fed by homogeneous on-off sources
Operations Research Letters
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This is a survey paper on fluid queues, with a strong emphasis on recent attempts to represent phenomena like long-range dependence. The central model of the paper is a fluid queueing system fed by N independent sources that alternate between silence and activity periods. The distribution of the activity periods of at least one source is assumed to be long-tailed, which may give rise to long-range dependence. We consider the effect of this tail behaviour on the steady-state distributions of the buffer content at embedded points in time and at arbitrary time, and on the busy period distribution. Both exact results and bounds are discussed.