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Avtomatika i Telemekhanika, 2020, Issue 9, Pages 105–119
DOI: https://doi.org/10.31857/S0005231020090056
(Mi at15573)
 

This article is cited in 2 scientific papers (total in 2 papers)

Stochastic Systems

Methods for computing a system with instantaneous feedback and variable input stream intensity

A. Z. Melikova, S. H. Aliyevab, M. O. Shakhmaliyeva

a Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b Baku State University, Baku, Azerbaijan
Full-text PDF (428 kB) Citations (2)
References:
Abstract: We study the Markov model of a servicing system with one server and instantaneous feedback. After servicing is complete, a part of the calls, according to the Bernoulli scheme, either leave the system or immediately return to receive re-servicing, which requires a positive (random) server switching time. The intensity of the incoming stream depends on the state of the server, which can be in operating mode or in switching mode. We find the ergodicity condition for the corresponding two-dimensional Markov chain and propose three methods for studying it: the method of generating functions, the method of spectral expansion, and the method of space merging. We present the results of numerical experiments.
Keywords: servicing system, instantaneous feedback, computational method.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 09.12.2019
Revised: 02.03.2020
Accepted: 25.05.2020
English version:
Automation and Remote Control, 2020, Volume 81, Issue 9, Pages 1647–1658
DOI: https://doi.org/10.1134/S0005117920090052
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Z. Melikov, S. H. Aliyeva, M. O. Shakhmaliyev, “Methods for computing a system with instantaneous feedback and variable input stream intensity”, Avtomat. i Telemekh., 2020, no. 9, 105–119; Autom. Remote Control, 81:9 (2020), 1647–1658
Citation in format AMSBIB
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\paper Methods for computing a system with instantaneous feedback and variable input stream intensity
\jour Avtomat. i Telemekh.
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\issue 9
\pages 105--119
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\crossref{https://doi.org/10.31857/S0005231020090056}
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\transl
\jour Autom. Remote Control
\yr 2020
\vol 81
\issue 9
\pages 1647--1658
\crossref{https://doi.org/10.1134/S0005117920090052}
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  • https://www.mathnet.ru/eng/at15573
  • https://www.mathnet.ru/eng/at/y2020/i9/p105
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:126
    Full-text PDF :18
    References:24
    First page:13
     
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