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Avtomatika i Telemekhanika, 2018, Issue 12, Pages 57–70
DOI: https://doi.org/10.31857/S000523100002857-6 (Mi at15223) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Stochastic Systems

Extension of the class of queueing systems with delay

V. N. Tarasov

Povolzhskiy State University of Telecommunications and Informatics, Samara, Russia
Full-text PDF (1080 kB) Citations (13)
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DOI: https://doi.org/10.31857/S000523100002857-6
Abstract: We consider the problem of determining the characteristics of queuing systems with delay by the classical spectral decomposition method for the solution of the Lindley integral equation. As input distributions for the systems we choose mixtures of exponential distributions shifted to the right of the zero point, for which the spectral decomposition approach allows one to obtain a solution in closed form. We show that in such systems with delay, the average waiting time is shorter than in conventional systems.
Keywords: system with delay, QS $H_2/H_2/1$, $H_2/M/1$, $M/H_2/1$, Laplace transform, average waiting time in the queue.
Funding agency Grant number
Russian Foundation for Basic Research 16-29-09639_офи_м
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-29-09639.
Presented by the member of Editorial Board: A. I. Lyakhov

Received: 18.11.2015
English version:
Automation and Remote Control, 2018, Volume 79, Issue 12, Pages 2147–2158
DOI: https://doi.org/10.1134/S0005117918120056
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Tarasov, “Extension of the class of queueing systems with delay”, Avtomat. i Telemekh., 2018, no. 12, 57–70; Autom. Remote Control, 79:12 (2018), 2147–2158
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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