Spectral solution for a delay system with hyper-Erlang distributions

Autor: Veniamin N. Tarasov, Nadezhda F. Bakhareva

Publikováno v: Физика волновых процессов и радиотехнические системы, Vol 25, Iss 4, Pp 33-38 (2022)

The article is devoted to the construction of a mathematical model for delaying claims in a queue in the form of a queuing system described by two flows with the laws of distribution of time intervals shifted to the right by hyper-Erlang distribution

Externí odkaz: https://doaj.org/article/42074b8406fd41b1a8f7de7734226574

Mathematical delay model based on QS with hyperexponential and Erlang distributions

Autor: Veniamin N. Tarasov

Publikováno v: Физика волновых процессов и радиотехнические системы, Vol 25, Iss 1, Pp 16-20 (2022)

This article is devoted to the study and obtaining a closed-form solution for the average delay of claims in the queue for a queuing system formed by two flows with hyperexponential and Erlang distributions of intervals. The combination of these dist

Externí odkaz: https://doaj.org/article/295a9f0578214452bf1e5db90ffaea99

Spectral expansion method for analysis of a system with shifted Erlang and hyper-Erlang distributions

Autor: Veniamin N. Tarasov, Nadezhda F. Bakhareva

Publikováno v: Физика волновых процессов и радиотехнические системы, Vol 24, Iss 2, Pp 55-61 (2021)

In this paper, we obtained a spectral expansion of the solution to the Lindley integral equation for a queuing system with a shifted Erlang input flow of customers and a hyper-Erlang distribution of the service time. On its basis, a calculation formu

Externí odkaz: https://doaj.org/article/831bdbe905074a85aca486c25f10c2d4

Analysis of a system with exponential and hyper-Erlang distributions by the method of spectral decomposition of the solution the Lindley integral equation

Autor: V.N. Tarasov, N.F. Bahareva, O. Kada

Publikováno v: Физика волновых процессов и радиотехнические системы, Vol 22, Iss 3, Pp 49-54 (2019)

In this work, we obtain the spectral decomposition of the solution of the Lindley integral equation for a queuing system with a Poisson input flow of requirements and a hyper-Erlang distribution of the service time. Based on it, a calculation formula

Externí odkaz: https://doaj.org/article/1281aaa76b7b4ddbad69af23121f406a

ДВЕ ПАРЫ ДВОЙСТВЕННЫХ СИСТЕМ МАССОВОГО ОБСЛУЖИВАНИЯ С ОБЫЧНЫМИ И СДВИНУТЫМИ ЗАКОНАМИ РАСПРЕДЕЛЕНИЙ

Publikováno v: Radio Electronics, Computer Science, Control; No. 1 (2022): Radio Electronics, Computer Science, Control; 66
Радиоэлектроника, информатика, управление; № 1 (2022): Радиоэлектроника, информатика, управление; 66
Радіоелектроніка, iнформатика, управління; № 1 (2022): Радіоелектроніка, інформатика, управління; 66

Context. The relevance of studies of G/G/1 systems is associated with the fact that they are in demand for modeling data transmission systems for various purposes, as well as with the fact that for them there is no final solution in the general case.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::27a53513e2a062abfb9679e89e3114ba
http://ric.zntu.edu.ua/article/view/254506