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Inform. Primen., 2009, Volume 3, Issue 4, Pages 30–34 (Mi ia77)  

This article is cited in 5 scientific papers (total in 5 papers)

Bayesian queueing and reliability models: general Erlang case

A. A. Kudriavtseva, V. S. Shorginb, S. Ya. Shorginb

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Institute for Problems of Informatics RAS

Abstract: The paper is a next step in bayesian queueing and reliability models investigation. The method provides the randomization of system characteristics with regard to a priori distributions of input parameters. The new results are presented for two cases when both a priori distributions are Erlang distributions and when a pair of a priori distributions is the pair “Erlang distribution — degenerate distribution”.

Keywords: bayesian approach; queueing systems; reliability; mixed distributions; modeling; Erlang distribution

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Citation: A. A. Kudriavtsev, V. S. Shorgin, S. Ya. Shorgin, “Bayesian queueing and reliability models: general Erlang case”, Inform. Primen., 3:4 (2009), 30–34

Citation in format AMSBIB
\Bibitem{KudShoSho09}
\by A.~A.~Kudriavtsev, V.~S.~Shorgin, S.~Ya.~Shorgin
\paper Bayesian queueing and reliability models: general Erlang case
\jour Inform. Primen.
\yr 2009
\vol 3
\issue 4
\pages 30--34
\mathnet{http://mi.mathnet.ru/ia77}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Kudryavtsev, S. Ya. Shorgin, “Baiesovskie modeli massovogo obsluzhivaniya i nadezhnosti: kharakteristiki srednego chisla zayavok v sisteme $M|M|1|\infty$”, Inform. i ee primen., 4:3 (2010), 16–21  mathnet
    2. A. A. Kudryavtsev, I. A. Sokolov, S. Ya. Shorgin, “Baiesovskaya rekurrentnaya model rosta nadezhnosti: ravnomernoe raspredelenie parametrov”, Inform. i ee primen., 7:2 (2013), 55–59  mathnet
    3. K. A. Rybakov, “Optimalnoe upravlenie stokhasticheskimi sistemami pri impulsnykh vozdeistviyakh, obrazuyuschikh erlangovskie potoki sobytii”, Programmnye sistemy: teoriya i prilozheniya, 4:2 (2013), 3–20  mathnet
    4. A. A. Kudryavtsev, A. I. Titova, “Gamma-eksponentsialnaya funktsiya v baiesovskikh modelyakh massovogo obsluzhivaniya”, Inform. i ee primen., 11:4 (2017), 104–108  mathnet  crossref  elib
    5. A. A. Kudryavtsev, “Baiesovskie modeli balansa”, Inform. i ee primen., 12:3 (2018), 18–27  mathnet  crossref  elib
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