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Avtomatika i Telemekhanika, 2020, Issue 3, Pages 67–85
DOI: https://doi.org/10.31857/S0005231020030058 (Mi at15287) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Topical issue

Analysis and optimization of a controlled model for a closed queueing network

N. A. Kuznetsovab, K. V. Semenikhinca

a Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
c Moscow Aviation Institute (National Research University)
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DOI: https://doi.org/10.31857/S0005231020030058
Abstract: We consider a closed network consisting of two queuing systems: the main system simulates a packet transmission queue over an unreliable communication channel, and the auxiliary multiserver system contains lost packets for resending. The service rate in the main system is controllable and is supposed to be optimized with the aim of minimizing the time of successful transmission, taking into account the cost of using network resources. We obtain optimality conditions in two cases: 1) in the model based on fluid approximation in the presence of heavy load; 2) in the steady state using stationary strategies.
Keywords: closed queuing network, fluid approximation, Markov process, optimal control.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 20.06.2019
Revised: 19.08.2019
Accepted: 26.09.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 3, Pages 430–444
DOI: https://doi.org/10.1134/S0005117920030042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Kuznetsov, K. V. Semenikhin, “Analysis and optimization of a controlled model for a closed queueing network”, Avtomat. i Telemekh., 2020, no. 3, 67–85; Autom. Remote Control, 81:3 (2020), 430–444
Citation in format AMSBIB
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\pages 430--444
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:43
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