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Software Package Development for the Active Traffic Management Module Self-oscillation Regime Investigation

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Contemporary Complex Systems and Their Dependability (DepCoS-RELCOMEX 2018)

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Abstract

Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations is actual and important as the study of parameters of self-oscillations. These studies are extremely labor-intensive because of the substantial non-linear nature of the mathematical model. To investigate the self-oscillation parameters, the authors used the method of harmonic linearization. However, the previously used model with symmetric oscillations showed its limitations. In this paper, a more complex model with asymmetric oscillations is applied. For this purpose, the authors developed the program complex with both numerical analysis elements and elements of symbolic calculations.

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References

  1. Brockett, R.: Stochastic analysis for fluid queueing systems. In: Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), vol. 3, pp. 3077–3082. IEEE (1999). https://doi.org/10.1109/CDC.1999.831407

  2. Hollot, C.V.V., Misra, V., Towsley, D., Gong, W.-B.: On designing improved controllers for AQM routers supporting TCP flows. In: Proceedings of the IEEE INFOCOM 2001 Conference on Computer Communications, Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213), vol. 3, pp. 1726–1734. IEEE (2001). https://doi.org/10.1109/INFCOM.2001.916670

  3. Issariyakul, T., Hossain, E.: Introduction to Network Simulator NS2. Springer, Boston (2012)

    Book  Google Scholar 

  4. Jenkins, A.: Self-oscillation. Phys. Rep. 525(2), 167–222 (2013). https://doi.org/10.1016/j.physrep.2012.10.007

    Article  MathSciNet  MATH  Google Scholar 

  5. Joshi, A., Lakhanpal, R.: Learning Julia. Packt Publishing, Birmingham (2017)

    Google Scholar 

  6. Korolkova, A.V., Velieva, T.R., Abaev, P.A., Sevastianov, L.A., Kulyabov, D.S.: Hybrid simulation of active traffic management. In: Proceedings of the 30th European Conference on Modelling and Simulation, pp. 685–691 (2016). https://doi.org/10.7148/2016-0685

  7. Kryloff, N., Bogolǐuboff, N.: Les methodes symboliques d l Mecanique non Lin-eaire dans leur application a l’etude de la resonance dans l’oscillateur. Bulletin del’Academie des Sciences de l’URSS. Classe des sciences mathematiques et na (1), 7–34 (1934)

    Google Scholar 

  8. Kulyabov, D.S., Korolkova, A.V., Velieva, T.R., Eferina, E.G., Sevastianov, L.A.: The methodology of studying of active traffic management module self-oscillation regime. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds.) DepCoS-RELCOMEX 2017. Advances in Intelligent Systems and Computing, vol. 582, pp. 215–224. Springer International Publishing, Cham (2018). https://doi.org/10.1007/978-3-319-59415-621

    Google Scholar 

  9. Lamy, R.: Instant SymPy Starter. Packt Publishing, Birmingham (2013)

    Google Scholar 

  10. Lautenschlaeger, W., Francini, A.: Global synchronization protection for bandwidth sharing TCP flows in high-speed links. In: Proceedings of the 16-th International Conference on High Performance Switching and Routing, IEEE HPSR 2015, Budapest, Hungary (2015)

    Google Scholar 

  11. Misra, V., Gong, W.B., Towsley, D.: Stochastic differential equation modeling and analysis of TCP-windowsize behavior. In: Proceedings of PERFORMANCE, vol. 99 (1999)

    Google Scholar 

  12. Misra, V., Gong, W.B., Towsley, D.: Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED. ACM SIGCOMM Comput. Commun. Rev. 30(4), 151–160 (2000). https://doi.org/10.1145/347057.347421

    Article  Google Scholar 

  13. Nyquist, H.: Regeneration theory. Bell Syst. Tech. J. 11(1), 126–147 (1932). https://doi.org/10.1002/j.1538-7305.1932.tb02344.x

    Article  MATH  Google Scholar 

  14. Oliphant, T.E.: Python for scientific computing. Comput. Sci. Eng. 9(3), 10–20 (2007). https://doi.org/10.1109/MCSE.2007.58

    Article  Google Scholar 

  15. Oliphant, T.E.: Guide to NumPy, 2nd edn. CreateSpace Independent Publishing Platform, Santa Monica (2015)

    Google Scholar 

  16. Perez, F., Granger, B.E.: IPython: a system for interactive scientific computing. Comput. Sci. Eng. 9(3), 21–29 (2007). https://doi.org/10.1109/MCSE.2007.53

    Article  Google Scholar 

  17. Ren, F., Lin, C., Wei, B.: A nonlinear control theoretic analysis to TCP-RED system. Comput. Netw. 49(4), 580–592 (2005). https://doi.org/10.1016/j.comnet.2005.01.016

    Article  Google Scholar 

  18. Velieva, T.R., Korolkova, A.V., Kulyabov, D.S.: Designing installations for verification of the model of active queue management discipline RED in the GNS3. In: 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), pp. 570–577. IEEE Computer Society (2015). https://doi.org/10.1109/ICUMT.2014.7002164

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Acknowledgments

The publication has been prepared with the support of the “RUDN University Program 5–100” and funded by Russian Foundation for Basic Research (RFBR) according to the research project No 16-07-00556.

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Correspondence to Tatyana R. Velieva .

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Velieva, T.R., Korolkova, A.V., Demidova, A.V., Kulyabov, D.S. (2019). Software Package Development for the Active Traffic Management Module Self-oscillation Regime Investigation. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Contemporary Complex Systems and Their Dependability. DepCoS-RELCOMEX 2018. Advances in Intelligent Systems and Computing, vol 761. Springer, Cham. https://doi.org/10.1007/978-3-319-91446-6_48

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