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Avtomatika i Telemekhanika, 2019, Issue 12, Pages 133–145
DOI: https://doi.org/10.1134/S0005231019120080 (Mi at15148) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stochastic Systems

A study of additionally generated flows in systems with unlimited number of devices and recurrent servicing with the Markov summation method

A. A. Nazarov, D. D. Dammer

Tomsk State National Research University, Tomsk, Russia
Full-text PDF (737 kB) Citations (1)
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DOI: https://doi.org/10.1134/S0005231019120080
Abstract: We study additional flows of events that are generated by claims located in the queuing system with an unlimited number of devices and arbitrary claim servicing time. We propose and carry out the Markov summation method to obtain the characteristics of the additional flows in question.
Keywords: queueing system, Markov summation method, characteristic function, additional event flows.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 13.11.2018
Revised: 24.12.2018
Accepted: 07.02.2019
English version:
Automation and Remote Control, 2019, Volume 80, Issue 12, Pages 2195–2205
DOI: https://doi.org/10.1134/S0005117919120087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Nazarov, D. D. Dammer, “A study of additionally generated flows in systems with unlimited number of devices and recurrent servicing with the Markov summation method”, Avtomat. i Telemekh., 2019, no. 12, 133–145; Autom. Remote Control, 80:12 (2019), 2195–2205
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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