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Gaussian Approximation of Multi-channel Networks in Heavy Traffic

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Book cover Modern Probabilistic Methods for Analysis of Telecommunication Networks (BWWQT 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 356))

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Abstract

In the paper the multichannel stochastic networks are considered. From the outside on each node of the network a Poisson input flow of calls arrives. An approximate method of studying of the service process at heavy traffic regime is developed. The limit process is represented as a multidimensional diffusion.

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References

  1. Gnedenko, B.V., Kovalenko, I.N.: An introduction to Queueing Theory, Moscow (2005)

    Google Scholar 

  2. Gihman, I.I., Skorohod, A.V.: Theory of stochastic processes, Moscow, Nauka, vol. 1 (1971)

    Google Scholar 

  3. Lebedev, E.A.: A limit theorem for stochastic networks and its applications. Theor. Probability and Math. Statist. 68, 81–92 (2003)

    Article  Google Scholar 

  4. Lebedev, E.A.: On the Markov property of multivariate Gaussian processes. Physics-Mathematics, Bulletin of Kiev University, vol. 4, pp. 287–291 (2001)

    Google Scholar 

  5. Anisimov, V.V., Lebedev, E.A.: Stochastic service networks. Markov models. Kyiv, Lybid (1992)

    Google Scholar 

  6. Kovalenko, I.N., Kuznetsov, I.N., Shurenkov, N.Y.: Stochastic Processes. Kyiv, Naukova Dumka (1983)

    MATH  Google Scholar 

  7. Feller, W.: An introduction to probability theory and its applications, Moscow, Mir, vol. 2 (1984)

    Google Scholar 

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© 2013 Springer-Verlag Berlin Heidelberg

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Lebedev, E., Livinska, G. (2013). Gaussian Approximation of Multi-channel Networks in Heavy Traffic. In: Dudin, A., Klimenok, V., Tsarenkov, G., Dudin, S. (eds) Modern Probabilistic Methods for Analysis of Telecommunication Networks. BWWQT 2013. Communications in Computer and Information Science, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35980-4_14

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  • DOI: https://doi.org/10.1007/978-3-642-35980-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35979-8

  • Online ISBN: 978-3-642-35980-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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