Generalized Variance-Based Markovian Fitting for Self-Similar Traffic Modelling

Shao, Shou Kuo; Perati, Malla Reddy; Tsai, Meng Guang; Tsao, Hen‐Wai; Wu, Jyh‐Horng

doi:10.1093/ietcom/e88-b.4.1493

Cited by 14 publications

(9 citation statements)

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“…The generalized variance based Markovian fitting method proposed in [6] is employed to emulate the self-similar traffic for both priority packet traffics. The mean arrival rate ( λ ) and variance ( 2 σ ) of the self-similar traffic is set to be 1 and 0.6, respectively [6], the interested time-scale range to emulate self-similarity is over Figure 2, depict the high priority packet loss probability decrease and the low priority packet loss probability increase as threshold (b) increases. In order to find out the optimal level of the threshold, we illustrate a plot of the high priority packet loss probability against the low priority packet loss probability ones at various b in Figure 3.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Markov modulated Poisson process (MMPP) is employed to emulate the self-similar traffic over the different time scales [4]- [6]. Naturally, high demand in Internet traffic leads to congestion problems.…”

Section: Introductionmentioning

confidence: 99%

“…Non-critical period is the time period during which buffer occupancy is below the threshold level and critical period is the time period during which buffer occupancy is on or above threshold. Each priority traffic is self-similar and is modelled by MMPP process [6].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Performance Analysis of Wavelength Division Multiplexing Asynchronous Internet Router Employing Space Priority Mechanism under Self-Similar Traffic Input—Multi-Server Queueing System with Markovian Input and Erlang-k Services

Gudimalla¹,

Perati²

2016

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In this paper, we analyze the queueing behaviour of wavelength division multiplexing (WDM) Internet router employing partial buffer sharing (PBS) mechanism with self-similar traffic input. In view of WDM technology in networking, each output port of the router is modelled as multi-server queueing system. To guarantee the quality of service (QoS) in Broadband integrated services digital network (B-ISDN), PBS mechanism is a promising one. As Markov modulated Poisson process (MMPP) emulates self-similar Internet traffic, we can use MMPP as input process of queueing system to investigate queueing behaviour of the router. In general, as network traffic is asynchronous (unslotted) and of variable packet lengths, service times (packet lengths) are assumed to follow Erlang-k distribution. Since, the said distribution is relatively general compared to deterministic and exponential. Hence, specific output port of the router is modelled as MMPP/E k /s/C queueing system. The long-term performance measures namely high priority and low priority packet loss probabilities and the short-term performance measures namely mean lengths of critical and noncritical periods against the system parameters and traffic parameters are computed by means of matrix-geometric methods and approximate Markovian model. This kind of analysis is useful in dimensioning the router under self-similar traffic input employing PBS mechanism to provide differentiated services (DiffServ) and QoS guarantee.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Performance Analysis of Wavelength Division Multiplexing Asynchronous Internet Router Employing Space Priority Mechanism under Self-Similar Traffic Input—Multi-Server Queueing System with Markovian Input and Erlang-k Services

Gudimalla¹,

Perati²

2016

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“…It is clear from the work agreed [4] that Poisson process could not emulate the self-similar network traffic. Markovian arrival process (MAP) emulating self-similar traffic is fitted over desired time scales by equating descriptive statistics measures such second-order statistics of the counts [5][6][7][8]. The theme of the paper is, we examined the nature of real time web users traffic data is self-similar [20] and this is an enhancement to study the performance metrics such as mean length and busy time distribution against the traffic intensity.…”

Section: Introductionmentioning

confidence: 99%

Queue Length-Busy Time Distribution of Web Users Data With Self Similar Behavior

Sarla¹

2016

IJRET

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“…Traditional traffic models, such as Markovian models, can still be used to model traffic exhibiting LRD. In [4][5][6][7], Markovian arrival process (MAP) is employed to model the self-similar behavior over the desired time scales. These fitting models equate the second order statistics of self-similar traffic and super-position of several 2-state Interrupted Poisson Processes (IPPs).…”

Section: Introductionmentioning

confidence: 99%

Study of Delay and Loss Behavior of Internet Switch-Markovian Modelling Using Circulant Markov Modulated Poisson Process (CMMPP)

Donthi¹,

Renikunta²,

Dasari³

et al. 2014

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Most of the classical self-similar traffic models are asymptotic in nature. Therefore, it is crucial for an appropriate buffer design of a switch and queuing based performance evaluation. In this paper, we investigate delay and loss behavior of the switch under self-similar fixed length packet traffic by modeling it as CMMPP/D/1 and CMMPP/D/1/K, respectively, where Circulant Markov Modulated Poisson Process (CMMPP) is fitted by equating the variance of CMMPP and that of self-similar traffic. CMMPP model is already the validated one to emulate the self-similar characteristics. We compare the analytical results with the simulation ones.

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Generalized Variance-Based Markovian Fitting for Self-Similar Traffic Modelling

Cited by 14 publications

References 0 publications

Performance Analysis of Wavelength Division Multiplexing Asynchronous Internet Router Employing Space Priority Mechanism under Self-Similar Traffic Input—Multi-Server Queueing System with Markovian Input and Erlang-k Services

Performance Analysis of Wavelength Division Multiplexing Asynchronous Internet Router Employing Space Priority Mechanism under Self-Similar Traffic Input—Multi-Server Queueing System with Markovian Input and Erlang-k Services

Queue Length-Busy Time Distribution of Web Users Data With Self Similar Behavior

Study of Delay and Loss Behavior of Internet Switch-Markovian Modelling Using Circulant Markov Modulated Poisson Process (CMMPP)

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