Abstract — This paper presents the Poisson Pareto burst process (PPBP) as a simple but accurate model for Internet traffic. It presents formulae relating the parameters of the PPBP to measurable traffic statistics, and describes a technique for fitting the PPBP to a given traffic stream. The PPBP is shown to accurately predict the queueing performance of a sample trace of aggregated Internet traffic. We predict that in few years, natural growth and statistical multiplexing will lead to an efficient optical Internet. I.
|
1368
|
On the self-similar nature of Ethernet traffic
– Leland, Taqqu, et al.
- 1993
|
|
1087
|
Wide area traffic: the failure of Poisson modeling
– Paxson, Floyd
- 1995
|
|
872
|
Self-similarity in world wide web traffic: evidence and possible causes
– Crovella, Bestavros
- 1997
|
|
507
|
Self-similarity through high-variability: Statistical analysis of Ethernet LAN traffic at the source level
– Willinger, Taqqu, et al.
- 1997
|
|
186
|
Performance Models of Statistical Multiplexing in Packet Video Communication
– Maglaris, Anastassiou, et al.
- 1988
|
|
179
|
On the use of fractional Brownian motion in the theory of connectionless networks
– Norros
- 1995
|
|
127
|
Logarithmic asymptotics for steady-state tail probabilities in a single-server queue
– Glynn, Whitt
- 1994
|
|
106
|
The changing nature of network traffic: Scaling phenomena
– Feldmann, Gilbert, et al.
- 1998
|
|
84
|
Analysis of an ATM buffer with self-similar (“fractal”) input traffic
– Likhanov, Tsybakov, et al.
- 1995
|
|
67
|
Wavelet analysis of long-range-dependent traffic
– Abry, Veitch
- 1998
|
|
49
|
The Internet and other networks: Utilization rates and their implications
– Odlyzko
- 1998
|
|
36
|
A Central Limit Theorem Based Approach for Analyzing Queue Behavior in High-Speed Networks
– Choe, Shroff
- 1998
|
|
27
|
Exact asymptotic queue length distribution for fractional Brownian traffic
– Narayan
- 1998
|
|
23
|
Broadband Traffic Modeling: Simple solutions to hard problems
– Addie, Zukerman, et al.
- 1998
|
|
22
|
On the Kolmogorov–Smirnov test for normality with mean and variance unknown
– Lilliefors
- 1967
|
|
21
|
Self-similar processes in communications networks
– Tsybakov, Georganas
- 1998
|
|
17
|
Performance formulae for queues with Gaussian input
– Addie, Mannersalo, et al.
- 1999
|
|
16
|
Modeling video traffic using M/G/∞ input processes: A compromise between markovian and LRD models
– Krunz, Makowski
- 1998
|
|
14
|
Long-range-dependence in variable-bit-rate video traffic
– Beran, Sherman, et al.
- 1995
|
|
13
|
On the weak convergence of long range dependent traffic processes
– Addie
- 1999
|
|
11
|
Self-similar traffic and upper bounds to buffer-overflow probability in an ATM queue
– Tsybakov, Georganas
- 1998
|
|
8
|
Performance evaluation of a queue fed by a Poisson Pareto burst process
– Addie, Neame, et al.
- 2002
|
|
6
|
Applying multiplexing characterization to VBR video traffic
– Neame, Zukerman, et al.
- 1999
|
|
5
|
Overflow and losses in a network queue with a self-similar input
– Tsybakov, Georganas
- 2000
|
|
4
|
Heavy traffic limits associated with M/G/∞ input processes
– Tsoukatos, Makowski
- 2000
|
|
4
|
The tail probability of a gaussian fluid queue under finite measurement of input processes
– Kobayashi, Takahashi
- 1998
|
|
3
|
On self-similarity in ATM queues: Definitions, overflow probability bound, and cell delay distribution
– Tsybakov, Georganas
- 1997
|
|
3
|
Tail probabilities for M/G/∞ processes (I): Preliminary asymptotics. Queueing Systems - Theory and Applications
– Parulekar, Makowski
- 1997
|
|
1
|
traffic and upper bounds to buffer-overflow probability in an ATM queue
– “Self-similar
- 1998
|
|
1
|
and losses in a network queue with a self-similar input
– “Overflow
- 2000
|
