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)
Fluid queues and regular variation
Performance Evaluation
Fluid queues with long-tailed activity period distributions
Fluid queues with long-tailed activity period distributions
Perturbation Analysis for Stochastic Fluid Queueing Systems
Discrete Event Dynamic Systems
Sojourn time asymptotics in the M/G/1 processor sharing queue
Queueing Systems: Theory and Applications
A Reduced-Load Equivalence for Generalised Processor Sharing Networks with Long-Tailed Input Flows
Queueing Systems: Theory and Applications
The Asymptotic Workload Behavior of Two Coupled Queues
Queueing Systems: Theory and Applications
Heavy Tails: The Effect of the Service Discipline
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
The impact of the service discipline on delay asymptotics
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
Waiting Time Asymptotics in the Single Server Queue with Service in Random Order
Queueing Systems: Theory and Applications
FLUID QUEUES AND MOUNTAIN PROCESSES
Probability in the Engineering and Informational Sciences
Tail asymptotics for the queue length in an M/G/1 retrial queue
Queueing Systems: Theory and Applications
Sojourn time asymptotics in processor-sharing queues
Queueing Systems: Theory and Applications
A Tandem Queue With LÉVY Input: A New Representation Of The Downstream Queue Length
Probability in the Engineering and Informational Sciences
An approximate compositional approach to the analysis of fluid queue networks
Performance Evaluation
Approximate analysis of a network of fluid queues
ACM SIGMETRICS Performance Evaluation Review
Busy period analysis for M/PH/1 queues with workload dependent balking
Queueing Systems: Theory and Applications
Fluid level in a reservoir with an on-off source
ACM SIGMETRICS Performance Evaluation Review
A fluid analysis framework for a Markovian process algebra
Theoretical Computer Science
Queueing analysis of a butterfly network for comparing network coding to classical routing
IEEE Transactions on Information Theory
Tandem fluid queues fed by homogeneous on-off sources
Operations Research Letters
A fluid model analysis of streaming media in the presence of time-varying bandwidth
Proceedings of the 24th International Teletraffic Congress
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Consider a fluid queue fed by N on/off sources. It is assumed that the silence periods of the sources are exponentially distributed, whereas the activity periods are generally distributed. The inflow rate of each source, when active, is at least as large as the outflow rate of the buffer.We make two contributions to the performance analysis of this model. Firstly, we determine the Laplace-Stieltjes transforms of the distributions of the busy periods that start with an active period of source i, i = 1,…,N, as the unique solution in [0, 1]N of a set of N equations. Thus we also find the Laplace-Stieltjes transform of the distribution of an arbitrary busy period.Secondly, we relate the tail behaviour of the busy period distributions to the tail behaviour of the activity period distributions. We show that the tails of all busy period distributions are regularly varying of index - ν iff the heaviest of the tails of the activity period distributions are regularly varying of index - ν We provide explicit equivalents of the former in terms of the latter, which show that the contribution of the sources with lighter associated tails is equivalent to a simple reduction of the outflow rate. These results have implications for the performance analysis of networks of fluid queues.