Fractional Lévy motion and its applocation to network traffic modeling

Authors:
N. Laskin;I. Lambadatis;F. C. Harmantzis;M. Devetsikiotis
Affiliations:
Department of Systems and Computer Engineering, Carleton University, Ottawa, Ont., Canada;Department of Systems and Computer Engineering, Carleton University, Ottawa, Ont., Canada;Department of Electrical and Computer Engineering, University of Toronto, Ont., Canada;Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC
Venue:
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Year:
2002

Citing 8
Cited 3

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)
Signal processing with alpha-stable distributions and applications

Signal processing with alpha-stable distributions and applications
A practical guide to heavy tails: statistical techniques and applications

A practical guide to heavy tails: statistical techniques and applications
Use of &agr;-stable self-similar stochastic processes for modeling traffic in broadband networks

Performance Evaluation - Special issue on performance and control of network systems
Self-Similar Network Traffic and Performance Evaluation

Self-Similar Network Traffic and Performance Evaluation
Macroscopic models for long-range dependent network traffic

Queueing Systems: Theory and Applications
On the modeling of network traffic and fast simulation of rare events using /spl alpha/-stable self-similar processes

SPWHOS '97 Proceedings of the 1997 IEEE Signal Processing Workshop on Higher-Order Statistics (SPW-HOS '97)

Fractional alpha stable network traffic model and its application in QoS routing

Journal of Network and Computer Applications
Statistical analysis of network traffic inter-arrival

ICACT'10 Proceedings of the 12th international conference on Advanced communication technology
Regularization for a fractional sideways heat equation

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

We introduce a general non-Gaussian, self-similar, stochastic process called the fractional Lévy motion (fLm). We formally expand the family of traditional fractal network traffic models, by including the fLm process. The main findings are the probability density function of the fLm process, several scaling results related to a single-server infinite buffer queue fed by fLm traffic, e.g., scaling of the queue length, and its distribution, scaling of the queuing delay when independent fLm streams are multiplexed, and an asymptotic lower bound for the probability of overflow (decreases hyperbolically as a function of the buffer size).