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2017 | OriginalPaper | Chapter

Traffic Flows Ateb-Prediction Method with Fluctuation Modeling Using Dirac Functions

Authors : Ivanna Dronyuk, Olga Fedevych

Published in: Computer Networks

Publisher: Springer International Publishing

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Abstract

In this paper a mathematical model for predicting traffic in computer networks based on heterogeneous differential equations describing the oscillatory motion was proposed. It is suggested that the solution to the equation should be modified on the basis of the sum of Dirac functions which have different arguments at different points of time to simulate bursts of network traffic. Based on this model, the software implementing network monitoring and forecasting of traffic on the network on the grounds of mathematical calculations and collected data was developed. Testing of models based on real network data from LPNU ACS Department was presented. Also, the simulation results have been compared with real traffic data. The results are illustrated in the form of both tables and plots.

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next chapter Improving Accuracy of a Network Model Basing on the Case Study of a Distributed System with a Mobile Application and an API
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Metadata
Title
Traffic Flows Ateb-Prediction Method with Fluctuation Modeling Using Dirac Functions
Authors
Ivanna Dronyuk
Olga Fedevych
Copyright Year
2017
Book
Computer Networks

Print ISBN: 978-3-319-59766-9

Electronic ISBN: 978-3-319-59767-6

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-59767-6_1

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