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Avtomatika i Telemekhanika, 2021, Issue 5, Pages 68–85
DOI: https://doi.org/10.31857/S0005231021050056 (Mi at15723) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Robust, Adaptive and Network Control

Optimal state estimation of a generalized MAP event flow with an arbitrary number of states

L. A. Nezhel'skaya, A.V. Keba

Tomsk State University, Tomsk, 634050 Russia
Full-text PDF (298 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231021050056
Abstract: We consider the optimal state estimation problem for a generalized MAP-flow (Markovian Arrival Process) with $n$ states, which is one of the mathematical models of real information flows of messages. An explicit form of the a posteriori probabilities of the states of the flow under study is found. The decision on the state of the flow is made according to the maximum a posteriori probability criterion. The results of numerical calculation of state estimates based on the constructed simulation model of a generalized MAP event flow are presented.
Keywords: generalized MAP event flow with arbitrary number of states, optimal state estimation, a posteriori probability, maximum a posteriori probability criterion.
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 21.12.2019
Revised: 08.09.2020
Accepted: 08.12.2020
English version:
Automation and Remote Control, 2021, Volume 82, Issue 5, Pages 798–811
DOI: https://doi.org/10.1134/S0005117921050056
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Nezhel'skaya, A.V. Keba, “Optimal state estimation of a generalized MAP event flow with an arbitrary number of states”, Avtomat. i Telemekh., 2021, no. 5, 68–85; Autom. Remote Control, 82:5 (2021), 798–811
Citation in format AMSBIB
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    • 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
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    References:19
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