Scientific Library of Tomsk State University

   E-catalog        

Normal view MARC view

The two-dimensional output process of retrial queue with two-way communication A. L. Blaginin, I. L. Lapatin

By: Blaginin, Alexey LContributor(s): Lapatin, Ivan LMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): методы асимптотического анализа | коэффициент корреляции | системы с повторными вызовамиGenre/Form: статьи в сборниках Online resources: Click here to access online In: Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 19th International Conference, ITMM 2020, named after A. F. Terpugov, Tomsk, Russia, December 2–5, 2020 : revised selected papers P. 279-290Abstract: In this paper, we review a two-dimensional output process of the system with repeated calls and called applications. In a system with repeated calls, incoming applications, which found serving unit busy, move to the source of repeated calls, where carry out random exponentially distributed delay, after which try to receive serving again. While serving unit is free, it can call applications itself with exponentially distributed intensity, which will serve with their serving time parameter. This feature characterises a system as one with called applications. An asymptotic approximation of the two-dimensional characteristic function is obtained under the condition of a large delay of applications in the orbit. Using integral transformations, the asymptotic two-dimensional distribution of the probabilities of the number of applications of different types that have finished serving in the system is found. A numerical analysis of the values of the correlation coefficient of the components of the considered two-dimensional output is carried out.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

Библиогр.: 11 назв.

In this paper, we review a two-dimensional output process of the system with repeated calls and called applications. In a system with repeated calls, incoming applications, which found serving unit busy, move to the source of repeated calls, where carry out random exponentially distributed delay, after which try to receive serving again. While serving unit is free, it can call applications itself with exponentially distributed intensity, which will serve with their serving time parameter. This feature characterises a system as one with called applications. An asymptotic approximation of the two-dimensional characteristic function is obtained under the condition of a large delay of applications in the orbit. Using integral transformations, the asymptotic two-dimensional distribution of the probabilities of the number of applications of different types that have finished serving in the system is found. A numerical analysis of the values of the correlation coefficient of the components of the considered two-dimensional output is carried out.

There are no comments on this title.

to post a comment.
Share