II. STATEMENT OF THE PROBLEM




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Sherjanova K.

II. STATEMENT OF THE PROBLEM. 
To study the statistical characteristics of a multimedia stream, multicast data 
transmission is considered, which implies that the server generates one data stream and 
sends them over the network to connected clients. The intensity of the load of the 
resulting stream of packets at each moment of time depends on what applications serve 
the sources of requests and what is the ratio of applications for them. the traffic structure 
is also influenced by the technological features of the applied service algorithms. 
Traffic registration was carried out in the following way. Through the switch, which has 
an uplink to the global network, users received and sent data. The throughput of the 
channel from subscribers varied from 0.6 to 0.8 Mbps with the help of the switch 
software. The edge port of the switch has a mirroring function that allows you to capture 
all traffic that goes to the global network. Using the Wiresnark sniffer program, within 
6 minutes, applications were analyzed (measured) in the system depending on the load 
indicators and the variation coefficient. Applying the approaches presented in [3], the 
used network traffic. The Wireshark program (Etnereal) is a traffic analyzer program for 
computer networks. This program is used to analyze the network packets of various 
networks and allows you to view all the traffic passing through the network in real time, 
converting the network card into a broadcaster. 


The main task of Wireshark is to intercept network traffic and display it in detail. 
Wireshark works on the basis of the Pcap library (Packet Capture) and makes it possible 
to create programs for analyzing network data coming to the computer's network card. 
This software solution makes it possible, using the real-time mode, for the user to 
visually completely scan the passing network traffic, and also to reject it if it is not 
filtered. According to the results of measuring the traffic parameters of the created 
multi-service network, the dependence of the number of MPEG protocol packets per 
unit of time on the time interval of 6 min was studied. The results obtained in the 
course of the study show a fairly strong unevenness of the intensity when receiving 
packets of multi-service traffic. All packets show a different spread over time 
intervals, which does not have a smooth character. At some time, intervals, packages 
appear in the form of groups, the so-called "packs", in others they are presented in a 
small amount. Such an uneven distribution with a relatively small average value of the 
intensity of packet arrival makes it possible for powerful bursts to appear in the 
network burst traffic, and the number of these bursts is quite large. Speaking about the 
random nature of all procedures for the formation, processing and transmission of 
network data, one must remember the obligatory use of stochastic models, represented 
by MSM models, in the form of puzzle networks and queuing systems of several 
classes. The study of MSM with an arbitrary time required for maintenance is a complex 
process that is practically impossible to describe in an analytical form through 
probability distributions. An analytical solution to this problem can be obtained in the 
particular case when it is possible to use statistical traffic parameters conditionally 
divided into groups: the values of the flow of applications, characterized by the 
distribution of time intervals between applications; values of queuing systems, 
characterized by a set of probabilities of various types of incoming requests; sets of 
distributions of service time for requests for each of their types. 
To get the distribution and analyze the probability density of the original 
sequences, it is necessary to build their histograms. In this work, the histograms were 


fitted using the EasyFit software (PO), which is designed for automatic approximation 
of various distributions using the MLE maximum likelihood method. 
Approximating distributions from the EasyFit library were selected for the 
obtained histograms according to the Kolmogorov–Smirnov agreement criteria. The 
choice of this software is determined by the following reasons. 
1. Using the EasyFit software, you can build histograms and select a possible 
distribution according to the best fit to the experimental data, which reduces the 
analysis time by 70–95%, except for. 
2. EasyFit software has a large number of additional functions that are designed 
to prevent errors in the analysis and help in making decisions. 
3. EasyFit software has an integrated infrastructure for data management and 
analysis of reporting functions. The use of the considered software makes it possible 
to automatically select the class of statistical distributions. 
As a result of the traffic studies [9;17], all the necessary distribution laws 
were determined: for example, Internet traffic at the link level characterizes the 
intervals between packets by the Pareto distribution, packet lengths by the Baybell
distribution, while IP traffic only at the network level corresponds to similar
distribution laws. Text files containing the necessary statistical data of the traffic were 
obtained when investigating network traffic with the Wireshark program. Statistical
data of real network traffic arriving at the input network buffer, which were taken 
in real time, are presented in the form of histograms of time intervals for the
arrival of network packets, packet lengths, and the approximation of these distribution 
density functions. The solutions that were obtained using this analytical model make it 
possible to analyze the characteristics of existing objects related to various subject 
areas. One of these applications is the functional optimization of existing computing 
and telecommunication systems. 



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