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Abstract

The work considers a one-dimensional time series protocol packet intensity, measured on the city backbone network. The intensity of the series is uneven. Scattering diagrams are constructed. The Dickie Fuller test and Kwiatkowski-Phillips Perron-Shin-Schmitt test were applied to determine the initial series to the class of stationary or nonstationary series. Both tests confirmed the involvement of the original series in the class of differential stationary. Based on the Dickie Fuller test and Private autocorrelation function graphs, the Integrated Moving Average Autoregression Model model is created. The results of forecasting network traffic showed the adequacy of the selected model.
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Bibliography

[1] V. S. Maraev, “Time series visualization Tools in space research. Volume 1”, Research of science city, vol. 4, no. 22, 2017
[2] G.G. Kantorovich, “Analysis of temporal rows. Lecture and methodical materials”, Economic Journal of the Higher School of Economics, no. 3, 2002, pp. 379-701.
[3] M. S. Vershinina, “Analysis of assumptions about the stationarity of some temporal series”, Collection of the all-Russian conference on mathematics with international participation "IAC-2018", Barnaul: AltSU University, 2018, pp. 172-176.
[4] R. M. De Jong, C. Amsler, and P. Schmidt, “A robust version of the KPSS test, based on indicators”, J. Econometrics, vol. 137, no. 2, 2007, pp. 311–333.
[5] W. Wojcik, T. Bieganski, A, Kotyra, and A, Smolarz, "Application of forcasting algorithms in the optical fiber coal dust burner monitoring system", Proc. SPIE 3189, Technology and Applications of Light Guides, (5 August 1997); https://doi.org/10.1117/12.285618
[6] K. O. Kizbikenov, “Prognostication and temporary series: textbook by K. O. Kizbikenov”, Barnaul: AltSPU, 2017.
[7] V. S. Korolyuk, N. I. Portenko, A. V. Skorokhod, A. F. Turbin (eds.) “Handbook of probability theory and mathematical statistics”, Moscow: Nauka, 2005.
[8] G. Box, G. Jenkins, “Time Series Analysis: Forecasting and Control,” San Francisco: Holden-Day, 1970.
[9] I Rizkya, K Syahputri, R. M.Sari, I. Siregar and J. Utaminingrum, “Autoregressive Integrated Moving Average (ARIMA) Model of Forecast Demand in Distribution Centre,” Department of Industrial Engineering, Faculty of Engineering, Universitas Sumatera Utara in IOP Conf. Series: Materials Science and Engineering 598, 2019, 012071.
[10] N.Albanbay, B.Medetov, M. A. Zaks, “Statistics of Lifetimes for Transient Bursting States in Coupled Noisy Excitable Systems,” Journal of Computational and Nonlinear Dynamics. vol. 15, no. 12, 2020, https://doi.org/10.1115/1.4047867
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Authors and Affiliations

Tansaule Serikov
1
Аinur Zhetpisbayeva
1
Ainur Аkhmediyarova
2
Sharafat Mirzakulova
3
Aigerim Kismanova
1
Aray Tolegenova
1
Waldemar Wójcik
4

  1. S.Seifullin Kazakh AgroTechnical University, Nur-Sultan, Kazakhstan
  2. Institute of Information and Computational Technologies, Almaty, Kazakhstan
  3. Turan University, Almaty, Kazakhstan
  4. Lublin University of Technology, Poland
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Abstract

In the article, a device for measuring the parameters of the rotational movement of the auger for dewatering solid waste is proposed based on the analysis of signal processing methods and measurement of physical quantities. It can be used in the development of high-performance special vehicles for transporting waste as the main link in the structure of machines for the collection and primary processing of solid waste. The structural scheme of the means and block diagram of the microcontroller control program algorithm for implementation of the device for measuring the parameters of the rotational motion are proposed. The main technical characteristics of the proposed means are given. The results of experimental tests for measuring the parameters of rotational motion are shown. The results of experimental studies, which are given in the work, confirmed the reliability of the measured parameters.
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Authors and Affiliations

Waldemar Wójcik
1
Oleh V. Bereziuk
2
Mykhailo S. Lemeshev
2
Volodymyr V. Bohachuk
2
Leonid K. Polishchuk
2
Oksana Bezsmertna
2
Saule Smailova
3
Saule Kurmagazhanova
3

  1. Lublin University of Technology, Poland
  2. Vinnytsya National Technical University, Ukraine
  3. D. Serikbayev East Kazakhstan Technical University

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