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Asymptotic diffusion analysis of multi-server retrial queue with hyper-exponential service A. N. Moiseev, A. A. Nazarov, S. V. Paul

By: Moiseev, Alexander NContributor(s): Nazarov, Anatoly A | Paul, Svetlana VMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): гиперэкспоненциальное распределение | асимптотический анализ | очередь повторных попытокGenre/Form: статьи в журналах Online resources: Click here to access online In: Mathematics Vol. 8, № 4. P. 531 (1-16)Abstract: A multi-server retrial queue with a hyper-exponential service time is considered in this paper. The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit. On the basis of the constructed diffusion process, we obtain approximations of stationary probability distributions of the number of customers in orbit and the number of busy servers. Using simulations and numerical analysis, we estimate the accuracy and applicability area of the obtained approximations.
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Библиогр.: 24 назв.

A multi-server retrial queue with a hyper-exponential service time is considered in this
paper. The study is performed by the method of asymptotic diffusion analysis under the condition
of long delay in orbit. On the basis of the constructed diffusion process, we obtain approximations
of stationary probability distributions of the number of customers in orbit and the number of busy
servers. Using simulations and numerical analysis, we estimate the accuracy and applicability area of
the obtained approximations.

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