Infinite-Server Resource Queueing Systems with Different Types of Markov-Modulated Poisson Process and Renewal Arrivals

E Pankratova, S Moiseeva, M Farkhadov - Mathematics, 2022 - mdpi.com
In this paper, we propose models that significantly expand the scope of practical
applications, namely, queueing systems with various nodes for processing heterogeneous …

On applications of computer algebra systems in queueing theory calculations

M Ziółkowski - Bulletin of the Polish Academy of Sciences …, 2024 - yadda.icm.edu.pl
In the present paper, the most important aspects of computer algebra systems applications
in complicated calculations for classical queueing theory models and their novel …

[PDF][PDF] Queueing systems with random volume customers and a sectorized unlimited memory buffer

O Tikhonenko, M Ziółkowski… - International Journal of …, 2021 - intapi.sciendo.com
In the present paper, we concentrate on basic concepts connected with the theory of
queueing systems with random volume customers and a sectorized unlimited memory …

On the total amount of the occupied resources in the multi-resource QS with renewal arrival process

A Galileyskaya, E Lisovskaya, M Pagano - International Conference on …, 2019 - Springer
In this paper we analyse a multi-resource queueing system with renewal arrival process and
arbitrary service time distribution. In more detail, we apply the dynamic screening method to …

[PDF][PDF] Single–server queueing system with limited queue, random volume customers and unlimited sectorized memory buffer

M Ziółkowski, O Tikhonenko - Bulletin of the Polish Academy of …, 2022 - journals.pan.pl
In the present paper, we analyze the model of a single–server queueing system with limited
number of waiting positions, random volume customers and unlimited sectorized memory …

Resource queueing system with dual requests and their parallel service

T Bushkova, E Danilyuk, S Moiseeva… - … Conference on Distributed …, 2019 - Springer
In this paper we consider a mathematical model of parallel servicing of dual customers in the
form of a queuing system with two service units each of them contains of an unlimited …

Asymptotic analysis of retrial queueing system M/GI/1 with collisions and impatient calls

E Danilyuk, S Moiseeva, A Nazarov - … , Saratov, Russia, June 26–30, 2019 …, 2019 - Springer
In the paper, the retrial queueing system of M/GI/1 type with input Poison flow of events,
collisions and impatient calls is considered. The delay time of calls in the orbit and the …

MX/G/1/∞ single-server queueing system with random volume customers and multiple vacations

O Tikhonenko, M Ziółkowski - Bulletin of the Polish Academy of …, 2024 - yadda.icm.edu.pl
In the present paper, we investigate the model of a single-server queueing system with
unlimited queue (of 𝑀𝑋/𝐺/1/∞-type), random volume customers, unlimited memory buffer …

Моделирование процесса последовательной обработки данных, реализующей хранение резервной копии

АА Галилейская, ЕЮ Лисовская… - … технологии и ИТ …, 2019 - cyberleninka.ru
Ресурсные системы массового обслуживания, в которых клиентам требуется
устройство и случайное количество ресурсов на время их обслуживания, доказали …

Semi-Markov resource flow as a bit-level model of traffic

A Nazarov, A Moiseev, I Lapatin, S Paul… - … on Distributed Computer …, 2021 - Springer
In this paper, we consider semi-Markov flow as a bit-level model of traffic. Each request of
the flow brings some arbitrary distributed amount of information to the system. The current …