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

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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. Kudriavtsev^a, V. S. Shorgin^b, S. Ya. Shorgin^b

^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
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:

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
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
K. A. Rybakov, “Optimalnoe upravlenie stokhasticheskimi sistemami pri impulsnykh vozdeistviyakh, obrazuyuschikh erlangovskie potoki sobytii”, Programmnye sistemy: teoriya i prilozheniya, 4:2 (2013), 3–20
A. A. Kudryavtsev, A. I. Titova, “Gamma-eksponentsialnaya funktsiya v baiesovskikh modelyakh massovogo obsluzhivaniya”, Inform. i ee primen., 11:4 (2017), 104–108
A. A. Kudryavtsev, “Baiesovskie modeli balansa”, Inform. i ee primen., 12:3 (2018), 18–27

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