Ten lectures on wavelets
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Empirically derived analytic models of wide-area TCP connections
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
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
Multifractal formalism for functions part I: results valid for all functions
SIAM Journal on Mathematical Analysis
Proof of a fundamental result in self-similar traffic modeling
ACM SIGCOMM Computer Communication Review
On the effect and control of self-similar network traffic: a simulation perspective
Proceedings of the 29th conference on Winter simulation
The changing nature of network traffic: scaling phenomena
ACM SIGCOMM Computer Communication Review
Data networks as cascades: investigating the multifractal nature of Internet WAN traffic
Proceedings of the ACM SIGCOMM '98 conference on Applications, technologies, architectures, and protocols for computer communication
Dynamics of IP traffic: a study of the role of variability and the impact of control
Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
On the nonstationarity of Internet traffic
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
Does fractal scaling at the IP level depend on TCP flow arrival processes?
Proceedings of the 2nd ACM SIGCOMM Workshop on Internet measurment
On the relationship between file sizes, transport protocols, and self-similar network traffic
ICNP '96 Proceedings of the 1996 International Conference on Network Protocols (ICNP '96)
The OSU Flow-tools Package and CISCO NetFlow Logs
LISA '00 Proceedings of the 14th USENIX conference on System administration
Infinitely divisible cascade analysis of network traffic data
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Scaling analysis of conservative cascades, with applications to network traffic
IEEE Transactions on Information Theory
Time-series forecasting using a system of ordinary differential equations
Information Sciences: an International Journal
Small-time scale network traffic prediction based on flexible neural tree
Applied Soft Computing
Throughput-smoothness tradeoff in preventing competing TCP from starvation
Computer Communications
Review: A critical look at power law modelling of the Internet
Computer Communications
High-fidelity per-flow delay measurements with reference latency interpolation
IEEE/ACM Transactions on Networking (TON)
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The last decade has been a very fruitful period in important discoveries in network traffic modeling, uncovering various scaling behaviors. Self-similarity, long-range dependence, multifractal behavior and finally cascades have been studied and convincingly matched to real traffic. The first purpose of this paper is to provide a methodology to go beyond the naive analysis of the second-order wavelet-based estimators of scaling, by performing non-stationarity checks and relying on the information contained in the high-order properties of the wavelet coefficients. Then, we apply this methodology to study the scaling properties of the TCP flow arrivals based on several traffic traces spanning the years from 1993 to early 2002. Our study reveals that the second-order scaling properties of this process describe its dynamics quite well. However, our analysis also provides evidence that high-order scaling in this process appears due to pathological behaviors like rate limitation and non-stationarity.