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A Dual Tandem Queue with Multi-server Stations and Losses

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Computer Networks (CN 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 608))

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Abstract

In this paper, a tandem queue consisting of two multi-server stations without buffers is investigated. Customers of two different types arrive to the first station in accordance with MMAP (Marked Markovian Arrival Process). The first type customers are satisfied with service at the first station only while the second type customers should be served successively at both stations. The system is studied in steady state. The stationary distribution of the system is calculated. A number of useful performance measures is derived. Decomposition and optimization problems are discussed.

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References

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Belarusian State University, 220030, Minsk, Belarus

    Valentina Klimenok

  2. Institute of Control Sciences of Russian Academy of Sciences and Closed Corporation “Information and Networking Technologies”, Moscow, Russia

    Vladimir Vishnevsky

Authors
  1. Valentina Klimenok
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  2. Vladimir Vishnevsky
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Corresponding author

Correspondence to Valentina Klimenok .

Editor information

Editors and Affiliations

  1. Silesian University of Technology, Gliwice, Poland

    Piotr Gaj

  2. Silesian University of Technology, Gliwice, Poland

    Andrzej Kwiecień

  3. Silesian University of Technology, Gliwice, Poland

    Piotr Stera

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© 2016 Springer International Publishing Switzerland

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Klimenok, V., Vishnevsky, V. (2016). A Dual Tandem Queue with Multi-server Stations and Losses. In: Gaj, P., Kwiecień, A., Stera, P. (eds) Computer Networks. CN 2016. Communications in Computer and Information Science, vol 608. Springer, Cham. https://doi.org/10.1007/978-3-319-39207-3_28

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  • DOI: https://doi.org/10.1007/978-3-319-39207-3_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39206-6

  • Online ISBN: 978-3-319-39207-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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