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The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms

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Distributed Computer and Communication Networks (DCCN 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 700))

Abstract

The article is devoted to the application of Markov modulated arrival processes (Markov modulated Poisson process — MMPP, Markov modulated Bernoulli process — MMBP and Markov modulated fluid flow — MMFF) models to the analysis of Active Queue Management (AQM) algorithms (Random Early Detection (RED) family, for example). The main ideas and properties of Markov modulated arrival processes (MMAP) are presented as the brief description of RED-type AQM algorithms. A review of the main results obtained with the help of MMAP processes in the analysis of AQM algorithms models is made. The authors formulated problems that also can be solved with the help of MMAP processes when analysing the systems with RED-like algorithms.

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Acknowledgments

The work was financially supported by the Ministry of Education and Science of the Russian Federation (the Agreement No. 02.A03.21.0008) and partially supported by RFBR grants No. 15-07-03007, No. 15-07-03406 and No. 14-07-00090.

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Authors and Affiliations

  1. Department of Applied Probability and Informatics, RUDN University, 6 Miklukho-Maklaya Street, Moscow, 117198, Russia

    Ivan Zaryadov, Anna Korolkova, Dmitriy Kulyabov, Tatiana Milovanova & Vladimir Tsurlukov

  2. Institute of Informatics Problems of the Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, 44-2 Vavilova Street, Moscow, 119333, Russia

    Ivan Zaryadov

  3. Laboratory of Information Technologies, Joint Institute for Nuclear Research, Joliot-Curie 6, Dubna, Moscow Region, 141980, Russia

    Dmitriy Kulyabov

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  1. Ivan Zaryadov
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  4. Tatiana Milovanova
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Correspondence to Dmitriy Kulyabov .

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Editors and Affiliations

  1. V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. RUDN University, Moscow, Russia

    Konstantin E. Samouylov

  3. V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Zaryadov, I., Korolkova, A., Kulyabov, D., Milovanova, T., Tsurlukov, V. (2017). The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms. In: Vishnevskiy, V., Samouylov, K., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2017. Communications in Computer and Information Science, vol 700. Springer, Cham. https://doi.org/10.1007/978-3-319-66836-9_35

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