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001-es BibID:	BIBFORM096310
035-os BibID:	(WoS)000693901500001 (Scopus)85114399434
Első szerző:	Bushkova, Tatyana
Cím:	Using Infinite-server Resource Queue with Splitting of Requests for Modeling Two-channel Data Transmission / Tatyana Bushkova, Svetlana Moiseeva, Alexander Moiseev, János Sztrik, Ekaterina Lisovskaya, Ekaterina Pankratova
Dátum:	2022
ISSN:	1387-5841
Megjegyzések:	New Radio Access Technology 3GPP New Radio has become the fundamental wireless technology in the fifth-generation networks, which allows us to achieve 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. Currently, there are known studies of "basic" mathematical models of such networks. By this term, we mean models built in the simplest possible assumptions. However, due to the justified necessity of introducing new technology into the daily lives of subscribers, service providers pose the scientific community with the task of analyzing the effectiveness of the most appropriate mathematical models. For example, a technology of splitting transmitted data into two streams using as 5G and both 4G transmission technologies is considered now by 3GPP Project Coordination Group. The paper is devoted to such a problem. We consider a mathematical model of the message transmitting with the implementation of the splitting function in the communication networks of New Radio technology in the form of a resource queueing system with a renewal arrival process and non-exponential service. For this problem, an approximation of a stationary two-dimensional probability distribution of the number of occupied resources in parallel service units is obtained. It is shown that this approximation coincides with the Gaussian distribution, and its area of applicability is shown.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk
Megjelenés:	Methodology And Computing In Applied Probability. - 24 (2022), p. 1753-1772. -
További szerzők:	Moiseeva, Svetlana P. (1980-) (informatikus, matematikus) Moiseev, Alexander Sztrik János (1953-) (informatikus, matematikus) Lisovskaya, Ekaterina Pankratova, Ekaterina
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001-es BibID:	BIBFORM110135
035-os BibID:	(WOS)000510100900001 (Scopus)85078735637
Első szerző:	Hijazy, Ayman
Cím:	Gamma Process-Based Models for Disease Progression / Hijazy Ayman, Zempléni András
Dátum:	2020
ISSN:	1387-5841
Megjegyzések:	Classic chronic diseases progression models are built by gauging the movement from the disease free state, to the preclinical (asymptomatic) one, in which the disease is there but has not manifested itself through clinical symptoms, after spending an amount of time the case then progresses to the symptomatic state. The progression is modelled by assuming that the time spent in the disease free and the asymptomatic states are random variables following specified distributions. Estimating the parameters of these random variables leads to better planning of screening programs as well as allowing the correction of the lead time bias (apparent increase in survival observed purely due to early detection). However, as classical approaches have shown to be sensitive to the chosen distributions and the underlying assumptions, we propose a new approach in which we model disease progression as a gamma degradation process with random starting point (onset). We derive the probabilities of cases getting detected by screens and minimize the distance between observed and calculated distributions to get estimates of the parameters of the gamma process, screening sensitivity, sojourn time and lead time. We investigate the properties of the proposed model by simulations.
Tárgyszavak:	Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Disease progression models Gamma process Sojourn time Lead time bias Sensitivity
Megjelenés:	Methodology And Computing In Applied Probability. - 23 : 1 (2020), p. 241-255. -
További szerzők:	Zempléni András (informatika)
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001-es BibID:	BIBFORM094557
035-os BibID:	(WoS)000652461200001 (Scopus)85106256724
Első szerző:	Nazarov, Anatoly
Cím:	Asymptotic Analysis of Finite-Source M/GI/1 Retrial Queueing Systems with Collisions and Server Subject to Breakdowns and Repairs / Anatoly Nazarov, János Sztrik, Anna Kvach, Ádám Tóth
Dátum:	2022
ISSN:	1387-5841
Tárgyszavak:	Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk
Megjelenés:	Methodology And Computing In Applied Probability. - 24 (2022), p. 1503-1518. -
További szerzők:	Sztrik János (1953-) (informatikus, matematikus) Kvach, Anna Tóth Ádám (1990-) (mérnökinformatikus)
Pályázati támogatás:	EFOP-3.6.1-16-2016-00022 EFOP
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