A. A. Kudriavtsev, S. Ya. Shorgin, “Bayesian queuing and reliability models: an exponential-erlang case”, Inform. Primen., 3:1 (2009), 55

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Inform. Primen., 2009, Volume 3, Issue 1, Pages 55–59 (Mi ia53)

This article is cited in 4 scientific papers (total in 4 papers)

Bayesian queuing and reliability models: an exponential-erlang case

A. A. Kudriavtsev^a, 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 investigation of Bayesian queuing and reliability models is continued in the paper. The method provides the randomization of system characteristics with regard to a priori distributions of input parameters. This approach could be used to calculate average values of performance and reliability characteristics for the large groups of systems or devices. The new results are presented for a case of exponential and Erlang a priori distributions.

Keywords: Bayesian approach; queuing systems; reliability; mixed distributions; modeling; Erlang distribution; exponential distribution

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Citation: A. A. Kudriavtsev, S. Ya. Shorgin, “Bayesian queuing and reliability models: an exponential-erlang case”, Inform. Primen., 3:1 (2009), 55–59

Citation in format AMSBIB

\Bibitem{KudSho09}

\by A.~A.~Kudriavtsev, S.~Ya.~Shorgin

\paper Bayesian queuing and reliability models: an exponential-erlang case

\jour Inform. Primen.

\yr 2009

\vol 3

\issue 1

\pages 55--59

\mathnet{http://mi.mathnet.ru/ia53}

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This publication is cited in the following articles:

A. A. Kudryavtsev, V. S. Shorgin, S. Ya. Shorgin, “Baiesovskie modeli massovogo obsluzhivaniya i nadezhnosti: obschii erlangovskii sluchai”, Inform. i ee primen., 3:4 (2009), 30–34
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
A. A. Kudryavtsev, “Baiesovskie modeli balansa”, Inform. i ee primen., 12:3 (2018), 18–27

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