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Avtomatika i Telemekhanika, 2021, Issue 10, Pages 110–123
DOI: https://doi.org/10.31857/S0005231021100093 (Mi at15802) 		 
Optimal control of queuing systems with channel switching

A. E. Mandela, V. A. Laptinb

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
b Lomonosov Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.31857/S0005231021100093
Abstract: We consider the problem of optimizing the operation of a queuing system in which the number of working service channels can be changed in a controlled manner at control times separated from each other by a fixed time step. It is assumed that, when passing from step to step, the simplest arrival flow intensity changes in accordance with some homogeneous Markov chain. The criterion for choosing a strategy for switching service channels is the minimum total average costs over a multistep planning horizon. The parametric structure of the optimal strategy for switching service channels is revealed.
Keywords: controlled queuing system, Markov arrival flow, optimization, channel switching strategy, strategy parametrization.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 20.01.2021
Revised: 20.03.2021
Accepted: 30.06.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 10, Pages 1720–1729
DOI: https://doi.org/10.1134/S000511792110009X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. E. Mandel, V. A. Laptin, “Optimal control of queuing systems with channel switching”, Avtomat. i Telemekh., 2021, no. 10, 110–123; Autom. Remote Control, 82:10 (2021), 1720–1729
Citation in format AMSBIB
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