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The Synthesis of Service Discipline in Systems with Limits

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Distributed Computer and Communication Networks (DCCN 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 601))

Abstract

The problem of service discipline synthesis in queuing systems with constraints on the mean residence time of different classes of requests, or chances of exceeding the limits. Problem is solved for the class of disciplines with mixed priorities between requests of different classes - relative, absolute, or no priorities. An algorithm for prioritization, ensuring the implementation of the limitations specified for the minimal system performance is proposed. The problem is solved using analytical dependences obtained for the first two moments of the residence time distribution, and the approximation of the principles of distributions on two moments.

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References

  1. Aliev, T.I., Maharevs, E.: Queueing disciplines based on priority matrix. Sci. Tech. J. Inf. Technol. Mech. Opt. 6(94), 91–97 (2014)

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  2. Aliev, T.I.: Approximation of probability distributions in queuing systems. Sci. Tech. J. Inf. Technol. Mech. Opt. 2(84), 88–93 (2013)

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Authors and Affiliations

  1. ITMO University, Kronverkski pr., 49, 197101, St. Petersburg, Russia

    Taufik Aliev

Authors
  1. Taufik Aliev
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Correspondence to Taufik Aliev .

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Editors and Affiliations

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

    Vladimir Vishnevsky

  2. V.A. Trapeznikov Inst. of Control Scienc, Russian Academy of Sciences V.A. Trapeznikov Inst. of Control Scienc, Moscow, Russia

    Dmitry Kozyrev

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© 2016 Springer International Publishing Switzerland

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Aliev, T. (2016). The Synthesis of Service Discipline in Systems with Limits. In: Vishnevsky, V., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2015. Communications in Computer and Information Science, vol 601. Springer, Cham. https://doi.org/10.1007/978-3-319-30843-2_16

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  • DOI: https://doi.org/10.1007/978-3-319-30843-2_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30842-5

  • Online ISBN: 978-3-319-30843-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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