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Waiting time asymptotic analysis of a M/GI/1 retrial queue system A. A. Nazarov, M. Samorodova

By: Nazarov, Anatoly AContributor(s): Samorodova, MariaMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): системы массового обслуживания с повторными вызовами | асимптотический анализ | время ожиданияGenre/Form: статьи в сборниках Online resources: Click here to access online In: Распределенные компьютерные и телекоммуникационные сети: управление, вычисление, связь DCCN-2021 [Электронный ресурс] : материалы XXIV Международной научной конференции (20-24 сентября 2021 г., Москва, Россия) С. 1-6Abstract: In this paper we deal with M/GI/1 retrial queueing system and conduct asymptotic analysis of the waiting time. The main result of this analysis is the asymptotic characteristic function of the waiting time distribution under heavy load condition . Also during the analysis the asymptotic distribution of the number of returns of the tagged request to the orbit and the asymptotic distributions of the number of requests in the orbit were obtained
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In this paper we deal with M/GI/1 retrial queueing system and conduct asymptotic analysis of the waiting time. The main result of this analysis is the asymptotic characteristic function of the waiting time distribution under heavy load condition . Also during the analysis the asymptotic distribution of the number of returns of the tagged request to the orbit and the asymptotic distributions of the number of requests in the orbit were obtained

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