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Stationary Distribution Invariance of an Open Queueing Network with Temporarily Non-active Customers

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Modern Probabilistic Methods for Analysis of Telecommunication Networks (BWWQT 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 356))

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Abstract

This paper considers stationary functioning of an open queueing network with temporarily non-active customers. Non-active customers are in a system queue and do not get service. Customers can pass from non-active state into state, when they can get their service and vice versa. Stationary distribution invariance with reference to service time distribution functional form is obtained.

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References

  1. Tsitsiashvili, G.S., Osipova, M.: Distributions in stochastic network models. Nova Publishers (2008)

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  2. Tsitsiashvili, G.S., Osipova, M.: Queueing models with different schemes of customers transformations. In: Proceedings of the 19th International Conference Mathematical Methods for Increasing Efficiency of Information Telecommunication Networks, pp. 128–133 (2007)

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  3. Gnedenko, B., Kovalenko, I.: Introduction to queueing theory, Moscow, Nauka (1987)

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  4. Malinkovsky, Y., Bojarovich, J.: An open queueing network with partly non-active customers. In: Proceedings of the 21st International Conference Modern Probbabilistic Methods for Analysis and Optimization of Information and Telecommunication Networks, pp. 34–37 (2011)

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Author information

Authors and Affiliations

  1. Gomel State University, Belarus

    Julia Bojarovich & Yury Malinkovsky

Authors
  1. Julia Bojarovich
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  2. Yury Malinkovsky
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Editor information

Editors and Affiliations

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

    Alexander Dudin  & Valentina Klimenok  & 

  2. Laboratory of Applied Probabilistic Analysis, Belarusian State University, 4 Nezavisimosti Avenue, 220030, Minsk, Belarus

    Gennadiy Tsarenkov  & Sergey Dudin  & 

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Bojarovich, J., Malinkovsky, Y. (2013). Stationary Distribution Invariance of an Open Queueing Network with Temporarily Non-active Customers. In: Dudin, A., Klimenok, V., Tsarenkov, G., Dudin, S. (eds) Modern Probabilistic Methods for Analysis of Telecommunication Networks. BWWQT 2013. Communications in Computer and Information Science, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35980-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-35980-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35979-8

  • Online ISBN: 978-3-642-35980-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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