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Stationary Distribution Insensitivity of a Closed Multi-regime Queueing Network with Non-active 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))

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Abstract

Stationary functioning of a closed queueing network with temporarily non-active customers and multi-regime service strategies is analyzed. Non-active customers are located in the network nodes in queues, being not serviced. For a customer, the opportunity of passing from its ordinary state to the temporarily non-active state (and backwards) is provided. Quantity of work for customer service is a random distributed value. Stationary distribution insensitivity with respect to functional form of distribution of work quantity for customer service is established.

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Author information

Authors and Affiliations

  1. Belarusian National Technical University, Minsk, Belarus

    Julia Kruk & Yuliya Dudovskaya

  2. Francisk Skorina Gomel State University, Gomel, Belarus

    Julia Kruk & Yuliya Dudovskaya

Authors
  1. Julia Kruk
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  2. Yuliya Dudovskaya
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Corresponding author

Correspondence to Yuliya Dudovskaya .

Editor information

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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Kruk, J., Dudovskaya, Y. (2015). Stationary Distribution Insensitivity of a Closed Multi-regime Queueing Network with Non-active 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_31

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  • DOI: https://doi.org/10.1007/978-3-319-25861-4_31

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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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