Multi-service resource queue with the multy-component Poisson arrivals

In many papers devoted to telecommunication systems, multiservice queueing models with heterogeneous customer arrivals are given. As a rule, there is streaming traffic, corresponding to the audio and video conference, and elastic traffic, corresponding to the data and file transmission. Different types of traffic require different quality of service, therefore the multi-service systems are also differentiated service systems. Such papers are aimed at developing a framework for estimating the quality of service indicators in new generation multi-service networks. This paper considers a multiservice resource queueing system with three Poisson arrivals, one of which is splitting. The equation for the probabilities distribution of the total resource amounts on the system blocks is compiling by the dynamic screening method, and using the characteristic function of the stationary distribution, the solution is obtaining. The numerical characteristics of the system performance are obtained by the method of moments using characteristic function. A numerical example shows that arrivals intensity growing increases optimal total resource amounts on system blocks in the system with limited resources, and the splitting arrivals affect the correlation between total resource amounts

Resource Queueing System with the Requirements Copying at the Second Phase

In this paper, we propose the modification of the dynamic screening method for the resource queueing systems with customers copying at the second phase. We obtain the characteristic function of the studied three-dimensional Markov chain and the main numerical characteristics. The obtained analytical results are compared with the simulation ones, the high accuracy of probability is demonstrated, the recommended limit value of the system and the loss probability are found. © 2019, Springer Nature Switzerland AG

Суммарный объем занятого ресурса в системе обработки информации с реализацией хранения резервной копии сообщений

New Radio Access Technology 3GPP New Radio has become the fundamental wireless technology in the fifth-generation networks, which allows achieving high data rates due to the ability to work in the millimeter-wave band. But the key feature and the main problem of 5G New Radio networks is that people themselves, cars, buildings, etc. are signal blockers, while the base stations of the fourth generation networks have widescreen broadcasting and such small obstacles do not cause loss of connection. Service providers and mobile operators are already testing the proposed technology. In this connection, the scientific community has the task of analyzing the performance of these systems and increasing it in the future. This work will be devoted to this problem, in which an approximation of the stationary two-dimensional probability distribution of the number of occupied resources on parallel service units is obtained.Новая технология радиодоступа 3GPP New Radio стала основополагающей технологией беспроводной связи в сетях пятого поколения, которая позволяет достигать высоких скоростей передачи данных благодаря возможности работать в полосе частот миллиметрового диапазона. Но ключевой особенностью и основной проблемой сетей 5G New Radio является то, что сами люди, автомобили, здания и пр. являются блокаторами сигнала, в то время как базовые станции сетей четвёртого поколения имеют широкоформатное вещание и такие небольшие препятствия не вызывают потери соединения. Поставщики услуг и операторы мобильной связи уже вовсю тестируют предлагаемую технологию. В связи с чем у научного сообщества возникает задача анализа производительности этих систем и её увеличения в дальнейшем. Этой проблеме и будет посвящена данная работа, в которой получена аппроксимация стационарного двумерного распределения вероятностей количества занятого ресурса на блоках параллельного обслуживания

Two-Phase Resource Queueing System with Requests Duplication and Renewal Arrival Process

In this paper, we analyze a two-phase resource queueing system with duplication at the second phase under the assumption that customers enter the system according to a renewal process and take up random resource amounts that do not affect the time of their service (for video-conference or streaming traffic). We apply the dynamic screening method and the asymptotic analysis method to obtain an approximation for the stationary probability distribution of the total amount of occupied resources in the system under increasing arrival rate. In more detail, we show that the three-dimensional probability distribution of the total resource amounts on the system blocks is three-dimensional Gaussian, obtain its parameters (means vector and covariance matrix) and verify the correctness of the asymptotic using discrete-event simulation. © 2020, Springer Nature Switzerland AG

Resource QS with the requests duplication at the second phase and renewal arrival process

In this paper, a resource queueing system with renewal arrival process, arbitrary service time distribution and requests duplication at the second phase is considered. In more detail, we apply the dynamic screening method to obtain the asymptotic expression for the stationary probability distribution of the total amount of occupied resource in the system. Finally, we verify the goodness of the obtained Gaussian approximation by means of discrete event simulation

Resource QS with the Requests Duplication at the Second Phase and Renewal Arrival Process

In this paper, a resource queueing system with renewal arrival process, arbitrary service time distribution and requests duplication at the second phase is considered. In more detail, we apply the dynamic screening method to obtain the asymptotic expression for the stationary probability distribution of the total amount of occupied resource in the system. Finally, we verify the goodness of the obtained Gaussian approximation by means of discrete event simulation

Asymptotic stationary probability distribution of total amount of physics experimental data

A mathematical model has been constructed for processing of physics experimental data in the form of a twophas

Two-Phase Resource Queueing System with Requests Duplication and Renewal Arrival Process

In this paper, we analyze a two-phase resource queueing system with duplication at the second phase under the assumption that customers enter the system according to a renewal process and take up random resource amounts that do not affect the time of their service (for video-conference or streaming traffic). We apply the dynamic screening method and the asymptotic analysis method to obtain an approximation for the stationary probability distribution of the total amount of occupied resources in the system under increasing arrival rate. In more detail, we show that the three-dimensional probability distribution of the total resource amounts on the system blocks is three-dimensional Gaussian, obtain its parameters (means vector and covariance matrix) and verify the correctness of the asymptotic using discrete-event simulatio