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Asymptotic-diffusion analysis of retrial queue with two-way communication and renewal input A. A. Nazarov, T. Phung-Duc, S. V. Paul, O. D. Lizyura

Contributor(s): Nazarov, Anatoly A | Phung-Duc, Tuan | Paul, Svetlana V | Lizyura, Olga DMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): очередь повторных попыток | двусторонняя связь | процесс обновления | диффузионное приближениеGenre/Form: статьи в сборниках Online resources: Click here to access online In: Пятая Международная конференция по стохастическим методам (МКСМ-5) : материалы Международной научной конференции, Россия, Москва, 23-27 ноября 2020 г С. 345-351Abstract: In this paper, we consider a single server retrial queue with two types of calls. Incoming calls form a renewal input ow. If the server is busy upon arrival the incoming call joins the orbit. After a random delay calls from the orbit make the next attempt to take the server. In its idle time the server makes outgoing calls. We consider the retrial queue with multiple types of outgoing calls. The aim of this paper is to obtain the diusion approximation of the number of calls in the orbit.
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In this paper, we consider a single server retrial queue with two types of calls. Incoming calls form a renewal input ow. If the server is busy upon arrival the incoming call joins the orbit. After a random delay calls from the orbit make the next attempt to take the server. In its idle time the server makes outgoing calls. We consider the retrial queue with multiple types of outgoing calls. The aim of this paper is to obtain the diusion approximation of the number of calls in the orbit.

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