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Numerical Analysis of a Queueing System with Feedback

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Cybernetics and Systems Analysis Aims and scope

Abstract

A mathematical model of the multichannel queueing system with feedback is proposed. The feedback occurs as returning a part of serviced calls to get a new service. The probability of returning to orbit depends on the number of busy channels. Both models with finite and infinite orbits are examined. Both exact and approximate methods to calculate characteristics of the system are developed. The results of numerical experiments are given.

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Authors and Affiliations

  1. Institute of Cybernetics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

    A. Z. Melikov

  2. International Scientific and Training of Information Technologies and Systems, National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv, Ukraine

    L. A. Ponomarenko

  3. National Academy of Aviation of Azerbaijan, Baku, Azerbaijan

    Kh. N. Kuliyeva

Authors
  1. A. Z. Melikov
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  2. L. A. Ponomarenko
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  3. Kh. N. Kuliyeva
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Corresponding author

Correspondence to A. Z. Melikov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2015, pp. 82–89.

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Melikov, A.Z., Ponomarenko, L.A. & Kuliyeva, K.N. Numerical Analysis of a Queueing System with Feedback. Cybern Syst Anal 51, 566–573 (2015). https://doi.org/10.1007/s10559-015-9747-4

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  • DOI: https://doi.org/10.1007/s10559-015-9747-4

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