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Feedback in Infinite-Server Queuing Systems

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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

Queuing systems with infinite servers \(M|M|\infty \), \(MMPP|M|\infty \), \(GI|M|\infty \) with feedback are considered. Asymptotic characteristic functions of the flow of repeating requests in the systems are obtained by using method of asymptotic analysis under a condition of increasing service time. Results of numeric experiments are presented.

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Acknowledgments

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

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    Svetlana Moiseeva & Lyubov Zadiranova

Authors
  1. Svetlana Moiseeva
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  2. Lyubov Zadiranova
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Corresponding author

Correspondence to Svetlana Moiseeva .

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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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Moiseeva, S., Zadiranova, L. (2016). Feedback in Infinite-Server Queuing Systems. 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_38

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  • DOI: https://doi.org/10.1007/978-3-319-30843-2_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30842-5

  • Online ISBN: 978-3-319-30843-2

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