On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
SIGCOMM '95 Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
Mathematics of Operations Research
Queueing Systems: Theory and Applications
Traffic with an fBm Limit: Convergence of the Stationary Workload Process
Queueing Systems: Theory and Applications
Fast simulation of overflow probabilities in a queue with Gaussian input
ACM Transactions on Modeling and Computer Simulation (TOMACS)
A Tandem Queue With LÉVY Input: A New Representation Of The Downstream Queue Length
Probability in the Engineering and Informational Sciences
Queueing Systems: Theory and Applications
On the fluid limit of the M/G/∞ queue
Queueing Systems: Theory and Applications
Performance analysis of a Poisson-Pareto queue over the full range of system parameters
Computer Networks: The International Journal of Computer and Telecommunications Networking
Resource dimensioning through buffer sampling
IEEE/ACM Transactions on Networking (TON)
Open problems in Gaussian fluid queueing theory
Queueing Systems: Theory and Applications
Reduced-load equivalence for Gaussian processes
Operations Research Letters
| Hi-index | 0.00 |
We consider fluid models with infinite buffer size. Let \{Z_N(t)\} be the net input rate to the buffer, where \{Z_N(t)\} is a superposition of N homogeneous alternating on–off flows. Under heavy traffic environment \{Z_N (t)\} converges in distribution to a centred Gaussian process with covariance function of a single flow. The aim of this paper is to prove the convergence of the stationary buffer content process \{X^*_N(t)\} in the Nth model to the buffer content process \{X^*(t)\} in the limiting Gaussian model.