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An Open Queueing Network with Temporarily Non-active Customers and Rounds

  • Julia Bojarovich
  • Larisa Marchenko
Part of the Communications in Computer and Information Science book series (CCIS, volume 356)

Abstract

An open queueing network with partly non-active customers is considered. 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. The form of stationary distribution and conditions of stationary distribution existence are obtained.

Keywords

queueing network temporarily non-active customers rounds stationary distribution 

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References

  1. 1.
    Tsitsiashvili, G.S., Osipova, M.: Distributions in stochastic network models. Nova Publishers (2008)Google Scholar
  2. 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)Google Scholar
  3. 3.
    Gnedenko, B., Kovalenko, I.: Introduction to queueing theory, Moscow, Nauka (1987)Google Scholar
  4. 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)Google Scholar
  5. 5.
    Malinkovsky, Y., Evdokimovich, V.: Queueing Networks with Dynamic Routing and Dynamic Stochastic Bypass of Nodes. Problems of Information Transmission 37, 236–247 (2001)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Julia Bojarovich
    • 1
  • Larisa Marchenko
    • 1
  1. 1.Gomel State UniversityBelarus

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