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Gaussian Approximation of Distribution of States of the Retrial Queueing System with r-Persistent Exclusion of Alternative Customers

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Information Technologies and Mathematical Modelling - Queueing Theory and Applications (ITMM 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 564))

Abstract

In this paper, we study the retrial queueing system with two arrival processes and two orbits with r-persistent exclusion of alternative customers by method of asymptotic analysis under condition of long delay. Stationary probability distribution of server states and values of asymptotic means of the number of customers in the orbits are obtained.

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Acknowledgments

The work is performed under the state order of the Ministry of Education and Science of the Russian Federation (No. 1.511.2014/K).

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Authors and Affiliations

  1. Tomsk State University, Lenina, 36, Tomsk, Russia

    Anatoly Nazarov & Yana Chernikova

Authors
  1. Anatoly Nazarov
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  2. Yana Chernikova
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Corresponding author

Correspondence to Yana Chernikova .

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Editors and Affiliations

  1. Applied Mathematics and Computer Science, Belarusian State University, Minsk, Russia

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Kemerovo State University, Anzhero-Sudzhensk, Russia

    Rafael Yakupov

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Nazarov, A., Chernikova, Y. (2015). Gaussian Approximation of Distribution of States of the Retrial Queueing System with r-Persistent Exclusion of Alternative Customers. In: Dudin, A., Nazarov, A., Yakupov, R. (eds) Information Technologies and Mathematical Modelling - Queueing Theory and Applications. ITMM 2015. Communications in Computer and Information Science, vol 564. Springer, Cham. https://doi.org/10.1007/978-3-319-25861-4_17

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  • DOI: https://doi.org/10.1007/978-3-319-25861-4_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25860-7

  • Online ISBN: 978-3-319-25861-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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