An envelope process for multifractal traffic modeling

Melo, Cesar A. V.; Fonseca, Nelson L. S. da

doi:10.1109/icc.2004.1312902

Cited by 16 publications

(32 citation statements)

References 12 publications

(15 reference statements)

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“…In other words, some IP flows can be modelled by monofractal processes, while others call for more complex multifractal modelling. There is no definite model that should be used for all network scenarios [4][5][6][7]. The best model can only be identified by measuring the characteristics of a specific flow.…”

Section: Introductionmentioning

confidence: 99%

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On traffic scaling transformation at ingress optical burst switches

2015

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Ingress nodes in optical burst switching (OBS) networks are responsible for assembling burst from incoming packets and forwarding these bursts into the OBS network core. Changes in the statistical characteristics of a traffic stream at an ingress switch can affect the capacity of the network to provide quality of service. Therefore, the statistical characteristics of the output flow of an ingress node must be known for appropriate network dimensioning. This paper evaluates the impact of burst assembly mechanisms on the scaling properties of multifractal traffic flows. Results show that the factor most relevant in determining the nature of the output traffic flow is the relationship between the cut-off time scale of the input traffic and the time scale of assembly threshold. Moreover, a procedure for the detection of the cut-off scale of incoming traffic is introduced.

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Section: Introductionmentioning

confidence: 99%

“…Such overestimation is due to the use of a single parameter, the Hurst parameter, to describe burstiness of the traffic. This parameter, which is a constant value, is a global measure of explosiveness and is unable to capture the activity on small time scales of multifractal traffic [4,5].…”

Section: Introductionmentioning

confidence: 99%

On traffic scaling transformation at ingress optical burst switches

2015

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“…Referring to [15], candidates of optimized condition are given by either (a) (5) where (6) under which we have (7) or (b) one of the following conditions (8) where , and denotes the greatest integer less than or equal to , and we have (9) The meaning of conditions (5) and (8) is as follows. Condition (5) implies sending all I frames and through frames with probability one, sending with probability , and dropping through .…”

Section: (4)mentioning

confidence: 99%

“…Consider the sequence , of which the mean is given by and its variance is given by (21) Given and , we now construct an objective function of as transmission rate of the queueing system, as follows: (22) where Finally, the effective bandwidth is obtained as (23) 4) Multifractal Scaling: Recent measurement and simulation studies have revealed that wide area network traffic and VBR video traffic display complex statistical characteristics-possibly multifractal scaling-on fine timescales, in addition to the well-known property of self-similar scaling on coarser timescales in the context of LRD [10]. In [9], it is shown that unreasonable overestimation of the equivalent bandwidth of a flow can be made if scaling at small scales are not considered in the modeling process, e.g., fractional Brownian motion. If the multitime scaling property is essential, the video traffic can be modeled as a combination of fractional Brownian motion and multifractal cascade to account for the small-scale effect corresponding to subframe scale using the method described in [10] …”

Section: ) Fractional Brownian Motion (Fbm)mentioning

confidence: 99%

“…Video traffic streams have been shown to have both short-range (SRD) and long-range dependency (LRD) [4]- [8]. Recent research shows video traffic may be modeled as multifractal cascade accounting for the multiscaling property of the traffic [9]- [12]. Our proposed scheduling scheme is based on effective bandwidth or equivalent bandwidth calculated from various video traffic models including SRD models [13], fractional Brownian motion (FBM) [12], [14], fractional autoregressive integrated moving average (FARIMA) [4], [6], and multifractal cascade [10].…”

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Effective bandwidth based scheduling for streaming multimedia

Kang

Zakhor

Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429)

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Abstract-We propose a class of rate-distortion optimized packet scheduling algorithms for streaming media by generating a number of nested substreams, with more important streams embedding less important ones in a progressive manner. Our goal is to determine the optimum substream to send at any moment in time, using feedback information from the receiver and statistical characteristics of the video. To do so, we model the streaming system as a queueing system, compute the run-time decoding failure probability of a group of picture in each substream based on effective bandwidth approach, and determine the optimum substream to be sent at that moment in time. We evaluate our scheduling scheme with various video traffic models featuring short-range dependency (SRD), long-range dependency (LRD), and/or multifractal properties. From experiments with real video data, we show that our proposed scheduling scheme outperforms the conventional sequential sending scheme.

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Adaptive envelope process and minimum service curve applied to resource block allocation in the LTE downlink

Abrahão

Vieira

2018

Int J Communication

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In this work, we propose a resource allocation algorithm for the LTE downlink that makes use of an adaptive multifractal envelope process and a minimum service curve. The proposed scheduling algorithm aims to improve some network parameters while guaranteeing a maximum delay to the user by considering the following information: backlog, channel condition and user traffic behavior. In order to estimate the maximum network delay, we propose an adaptive minimum service curve for the LTE network that can be used for admission control purposes in the resource allocation algorithm. The performance of the proposed scheduling algorithm is compared to those of several scheduling schemes known in the literature through computational simulations of the LTE downlink. In order to develop a new adaptive envelope process and to precisely describe network flows, we propose an adaptive algorithm to estimate the parameters of the Multifractal Wavelet Model (MWM).The proposed envelope process is compared to the main traffic model based envelope processes known in the literature. Simulations of the LTE downlink considering AMC (Adaptive Modulation and Coding) are carried out showing the efficiency of the proposed resource allocation approach that considers adaptive estimation of network traffic parameters.

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An envelope process for multifractal traffic modeling

Cited by 16 publications

References 12 publications

On traffic scaling transformation at ingress optical burst switches

On traffic scaling transformation at ingress optical burst switches

Effective bandwidth based scheduling for streaming multimedia

Adaptive envelope process and minimum service curve applied to resource block allocation in the LTE downlink

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