Comparison of Approximation Methods for the Estimation of Distributions in the Analysis of the G/G/1 Queue

The analysis of Weibull and Pareto distribution functions in the approximation of the density of a sum of damping functions, PMRQ approximation and approximation of service distribution in the peak mode of the flow. There was found one of the characteristics of the network, the average waiting time...

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Bibliographic Details
Published in:International journal of mathematical, engineering and management sciences engineering and management sciences, 2019-08, Vol.4 (4), p.1040-1050
Main Authors: Karaulova, O., Kireeva, N., Chupakhina, L., Gazizulina, A.
Format: Article
Language:English
Subjects:
Approximation
Damping function
Data analysis
Integral equations
Lindley’s equation
PMRQ
PMRS
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Summary:The analysis of Weibull and Pareto distribution functions in the approximation of the density of a sum of damping functions, PMRQ approximation and approximation of service distribution in the peak mode of the flow. There was found one of the characteristics of the network, the average waiting time of packets in the queue after application of spectral method of the Lindley’s integral equation. Finally, PMRQ approximation of the average waiting time in TES+/G/1, MMPR, was compared with the analytic values of the same value in the spectral solution of the Lindley’s integral equation obtained by simulation with real traffic. Traffic is captured using the Wireshark protocol analyzer program. The time distributions were obtained in the EasyFit data analysis program, designed for quick statistical data analysis and decision making. Methods of approximation of network traffic allows us to estimate the average packet latency using statistical data analysis, which will improve the quality of service and predict the behavior of traffic.
ISSN:2455-7749
2455-7749
DOI:10.33889/IJMEMS.2019.4.4-083