Long-range dependence in variable-bit-rate video traffic

Beran, Jan; Sherman, Robert P.; Taqqu, Murad S.; Willinger, Walter

doi:10.1109/26.380206

Cited by 1,020 publications

(493 citation statements)

References 46 publications

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“…Instead, they found that when traffic streams are aggregated or merged, they retain a high level of burstiness. This behavior was consistent with self-similar models, and such models were soon after shown to apply to other types of communications as well [539,155,69].…”

Section: The Importance Of Self-similaritysupporting

confidence: 61%

“…Figure 7.3 gives an example of jobs arriving at a parallel supercomputer (and see also [652,669]). Self-similarity has also been shown in file systems [303], web usage [155], and video traffic [69], to name a few.…”

Section: End Boxmentioning

confidence: 99%

“…More formally, long-range dependence is defined as having an autocorrelation function that falls off polynomially, with an exponent smaller than 1 [69]. To define this, we start with the autocovariance:…”

Section: Long-range Dependencementioning

confidence: 99%

See 2 more Smart Citations

Workload Modeling for Computer Systems Performance Evaluation

Feitelson

2015

191

131

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Reliable performance evaluations require the use of representative workloads. This is no easy task since modern computer systems and their workloads are complex, with many interrelated attributes and complicated structures. Experts often use sophisticated mathematics to analyze and describe workload models, making these models difficult for practitioners to grasp. This book aims to close this gap by emphasizing the intuition and the reasoning behind the definitions and derivations related to the workload models. It provides numerous examples from real production systems, with hundreds of graphs. Using this book, readers will be able to analyze collected workload data and clean it if necessary, derive statistical models that include skewed marginal distributions and correlations, and consider the need for generative models and feedback from the system. The descriptive statistics techniques covered are also useful for other domains.

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Section: The Importance Of Self-similaritysupporting

confidence: 61%

Section: End Boxmentioning

confidence: 99%

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Workload Modeling for Computer Systems Performance Evaluation

Feitelson

2015

191

131

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“…A number of recent studies [5,13,21,30] have shown that many sources of Long Range Dependent (LRD) traffic streams supply a significant part of the traffic carried on broadband networks. In [30], it was shown that one possible source of this burstiness was in the aggregation of independent on-off sources with heavy tailed, on and/or off, time distributions.…”

Section: The Poisson Pareto Burst Processmentioning

confidence: 99%

Performance evaluation of a queue fed by a Poisson Pareto burst process

2002

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This paper provides means for performance evaluation of a queue with Poisson Pareto Burst Process (PPBP) input. Because of the long range dependent nature of the PPBP, straightforward simulations are unreliable. New analytical and simulation techniques are described in this paper. Numerical comparison between the results shows consistency. Conservative dimensioning rules using zero buffer approximations are examined versus the more aggressive analytical approach based on the results of this paper to provide practical guidelines for network design.

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“…The occurrence of these phenomena is commonly attributed to extreme variability and heavy-tailed characteristics in the underlying activity patterns (connection times, file sizes, scene lengths), see for instance [10,30,56]. This has triggered a lively interest in queueing models with heavy-tailed traffic characteristics.…”

Section: Introductionmentioning

confidence: 99%

The impact of the service discipline on delay asymptotics

Borst

Boxma

Núñez-Queija

et al. 2003

Performance Evaluation

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This paper surveys the M/G/1 queue with regularly varying service requirement distribution. It studies the effect of the service discipline on the tail behavior of the waiting-time and/or sojourn-time distribution, demonstrating that different disciplines lead to quite different tail behavior. The orientation of the paper is methodological: We outline four different methods for determining tail behavior, illustrating them for service disciplines like FCFS, Processor Sharing and LCFS.

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Long-range dependence in variable-bit-rate video traffic

Cited by 1,020 publications

References 46 publications

Workload Modeling for Computer Systems Performance Evaluation

Workload Modeling for Computer Systems Performance Evaluation

Performance evaluation of a queue fed by a Poisson Pareto burst process

The impact of the service discipline on delay asymptotics

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