Spline-Extrapolation Method in Traffic Forecasting in 5G Networks

Authors

  • Irina Strelkovskaya State University of Intelligent Technologies and Telecommunications image/svg+xml
  • Irina Solovskaya State University of Intelligent Technologies and Telecommunications image/svg+xml
  • Anastasiya Makoganiuk State University of Intelligent Technologies and Telecommunications image/svg+xml

DOI:

https://doi.org/10.26636/jtit.2019.134719

Keywords:

quality of service, self-similar traffic, spline functions, error of recovery

Abstract

This paper considers the problem of predicting self-similar traffic with a significant number of pulsations and the property of long-term dependence, using various spline functions. The research work focused on the process of modeling self-similar traffic handled in a mobile network. A splineextrapolation method based on various spline functions (linear, cubic and cubic B-splines) is proposed to predict selfsimilar traffic outside the period of time in which packet data transmission occurs. Extrapolation of traffic for short- and long-term forecasts is considered. Comparison of the results of the prediction of self-similar traffic using various spline functions has shown that the accuracy of the forecast can be improved through the use of cubic B-splines. The results allow to conclude that it is advisable to use spline extrapolation in predicting self-similar traffic, thereby recommending this method for use in practice in solving traffic prediction-related problems.

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References

[1] 3GPP “Study on Scenarios and Requirements for Next Generation Access Technologies”, ETSI TR 38.913, V14.3.0, 2017.
View in Google Scholar

[2] 3GPP “Study on Architecture for Architecture for Next Generation System”, TR 23.799 V14.0.0, 2016.
View in Google Scholar

[3] V. V. Krylov and S. S. Samohvalova, Teoriya teletrafika i ee prilozheniya (Teletraffic Theory and Its Applications). St. Petersburg: BHV-Petersburg, 2005, p. 288 (in Russian).
View in Google Scholar

[4] O. I. Sheluhin, A. V. Osin, and S. M. Smolski, Samopodobie i Fraktaly. Telekommunikatsionnye Prilozheniya (Self-Similarity and Fractals. Telecommunication Applications). Moscow: Fizmatlit, 2008 (in Russian).
View in Google Scholar

[5] I. V. Strelkovskaya, I. N. Solovskaya, N. V. Severin, and S. A. Paskalenko, “Spline approximation-based restoration for selfsimilar traffic”, Eastern-Eur. J. of Enterprise Technol., vol. 3/4 (87), pp. 45–50, 2017. DOI: https://doi.org/10.15587/1729-4061.2017.102999
View in Google Scholar

[6] I. V. Strelkovskaya, I. N. Solovskaya, and N. V. Severin, “Modeling of self-similar traffic”, in Proc. of 4th Int. Conf. on Appl. Innov. in IT ICAIIT-2016, Koethen, Germany, 2016, vol. 4, no. 1, pp. 61–64.
View in Google Scholar

[7] V. V. Popovsky and I. V. Strelkovskaya, “Accuracy of filtration procedures, extrapolation and interpolation of random processes”, Problems of Telecommunications, vol. 1, no. 3, pp. 3–10, 2011.
View in Google Scholar

[8] I. Strelkovskaya, I. Solovskaya, and A. Makoganiuk, “Predicting characteristics of self-similar traffic”, in Proc. of 3rd Int. Conf. on Inform. and Telecommun. Technol. and Radio Electronics UkrMiCo’2018), Odessa, Ukraine, 2018.
View in Google Scholar

[9] J. V. Lambers and A. C. Sumner, Explorations in Numerical Analysis. World Scientific Publishing Company, 2018 (ISBN: 978-981-3209-96-1).
View in Google Scholar

[10] A. Messaoudi, R. Sadoka, and H. Sadok, “New algorithm for computing the Hermite interpolation polynomial”, Numerical Algorithms, vol. 77, no. 4 ppl. 1069–1092, 2018. DOI: https://doi.org/10.1007/s11075-017-0353-6
View in Google Scholar

[11] I. Farago, A. Havasi, and Z. Zlatev, “Efficient implementation of stable Richardson Extrapolation algorithms, Comp. & Mathem. with Appl., vol. 60, no. 8, pp. 2309–2325, 2010. DOI: https://doi.org/10.1016/j.camwa.2010.08.025
View in Google Scholar

[12] J. H. Ahlberg, E. N. Nilson, and J. I. Walsh, The Theory of Splines and Their Applications, 1st ed. Academic Press, 1967 (ISBN-13: 978-1483209524).
View in Google Scholar

[13] P. Sarigiannidis, K. Aproikidis, M. Louta, P. Angelidis, and T. Lagkas, “Predicting multimedia traffic in wireless networks: a performance evaluation of cognitive techniques”, in Proc. 5th Int. Conf. on Inform., Intell., Sys. and Appl. IISA-2014, Chania, Greece, 2014, pp. 341–346 (10.1109/IISA.2014.6878802). DOI: https://doi.org/10.1109/IISA.2014.6878802
View in Google Scholar

[14] V. Kumar and L. Vanajakshi, “Short-term traffic flow prediction using seasonal ARIMA model with limited input data”, Eur. Transport Res. Review., vol. 7, no. 21, pp. 9-21. DOI: https://doi.org/10.1007/s12544-015-0170-8
View in Google Scholar

[15] C. Li, Y. Han, Z. Sun, and Z. Wang, “A novel self-similar traffic prediction method based on wavelet transform for satellite Internet”, EAI Endorsed Trans. on Ambient Syst., vol. 4. no. 14, pp. 1–7. DOI: https://doi.org/10.4108/eai.28-8-2017.153306
View in Google Scholar

[16] T. H. H. Aldhyani and M. R. Joshi, “An integrated model for prediction of loading packets in network traffic”, in Proc. 2nd Int. Conf. on Inform. and Commun. Technol. for Competitive Strateg. ICTCS’16, Udaipur, India, 2016. DOI: https://doi.org/10.1145/2905055.2905236
View in Google Scholar

[17] M. Oravec, M. Petras, and P. Pilka, “Video traffic prediction using neural networks”, Acta Polytech. Hungarica, vol. 5, no. 4, pp. 59–78, 2008 [Online]. Available: https://www.uni-obuda.hu/journal/ Oravec Petras Pilka 16.pdf
View in Google Scholar

[18] F. C. Pereira, C. Antoniou, J. A. Fargas, and M. Ben-Akiva, “A metamodel for estimating error bounds in real-time traffic prediction systems”, IEEE Trans. on Intell. Transport. Syst., vol. 15, no. 3, pp. 1310–1322. DOI: https://doi.org/10.1109/TITS.2014.2300103
View in Google Scholar

[19] I. Klevecka, “Forecasting network traffic: a comparison of neural networks and linear models”, in Abstracts of the 9th International Conference ‘Reliability and Statistics in Transportation and Communication”, Latvia, Riga, 21-24 Oct., 2009. Riga: Transport and Telecommunication Institute, 2009, pp. 36–36 (ISBN: 978-9984-818-22-1).
View in Google Scholar

[20] Yu. S. Zavyalov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions. Moscow: Nauka, 1980 (in Russian).
View in Google Scholar

[21] I. Strelkovskaya, “Application of cubic B-splines for synthesis of selective signals”, Telecommun. and Radio Engin., vol. 66, no. 12, pp. 1047–1056, 2007. DOI: https://doi.org/10.1615/TelecomRadEng.v66.i12.10
View in Google Scholar

[22] D. I. Comer, Internetworking with TCP/IP. Pearson Education Limited, 2013.
View in Google Scholar

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Submitted

2023-06-10

Published

2019-09-30

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How to Cite

[1]
I. Strelkovskaya, I. Solovskaya, and A. Makoganiuk, “Spline-Extrapolation Method in Traffic Forecasting in 5G Networks”, JTIT, vol. 77, no. 3, pp. 8–16, Sep. 2019, doi: 10.26636/jtit.2019.134719.