Электронная библиотека (репозиторий) Томского государственного университета
Phung-Duc, Tuan | асимптотический анализ

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Add   Scaling limits of a tandem queue with two infinite orbits
Authors: Nazarov, Anatoly A. | Phung-Duc, Tuan | Paul, Svetlana V. | Morozova, Mariya A.
Source: Mathematics. 2023. Vol. 11, № 11. P. 2454 (1-14)
Type: статьи в журналах
Date: 2023
Description: This paper considers a tandem queueing network with a Poisson arrival process of incoming calls, two servers, and two infinite orbits by the method of asymptotic analysis. The servers provide services ... More
Add   Analysis of tandem retrial queue with common orbit and poisson arrival process
Authors: Nazarov, Anatoly A. | Paul, Svetlana V. | Phung-Duc, Tuan | Morozova, Mariya
Source: Performance Engineering and Stochastic Modeling : 17th European Workshop, EPEW 2021 and 26th International Conference, ASMTA 2021 Virtual Event, December 9–10 and December 13–14, 2021 : proceedings. Cham, 2021. P. 441-456
Type: статьи в сборниках
Date: 2021
Description: In this paper, we present a diffusion limit for the timedependent distribution of the number of customers in the orbit for a tandem queueing system with one orbit, Poisson arrival process of incoming ... More
Add   Asymptotic analysis of Markovian retrial queue with unreliable server and two-way communication under low rate of retrials condition
Authors: Nazarov, Anatoly A. | Phung-Duc, Tuan | Paul, Svetlana V. | Lizyura, Olga D. | Shulgina, Ksenia
Source: Информационные технологии и математическое моделирование (ИТММ-2020) : материалы XIX Международной конференции имени А. Ф. Терпугова, 2-5 декабря 2020 г.. Томск, 2021. С. 99-104
Type: статьи в сборниках
Date: 2021
Add   Central limit theorem for an M/M/1/1 retrial queue with unreliable server and two-way communication
Authors: Nazarov, Anatoly A. | Phung-Duc, Tuan | Paul, Svetlana V. | Lizyura, Olga D. | Shulgina, Kseniya
Source: 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. Cham, 2021. P. 120-130
Type: статьи в сборниках
Date: 2021
Description: In this paper, we consider a single-server retrial queue with unreliable server and two-way communication. Inbound calls arrive according to a Poisson process. If the server is busy upon arrival, an i ... More
Add   Gaussian asymptotics for a multiclass M/M/1/1 retrial queueing system
Authors: Nazarov, Anatoly A. | Phung-Duc, Tuan | Izmailova, Y. E.
Source: Распределенные компьютерные и телекоммуникационные сети: управление, вычисление, связь (DCCN-2020) [Электронный ресурс] : материалы XXIII Международной научной конференции (14-18 сентября 2020 г., Москва, Россия). М., 2020. С. 189-196
Type: статьи в сборниках
Date: 2020
Description: In this paper, we consider the multiclass M/M/1/1 retrial queueing system where customers of each type have type-dependent arrival process, service time distribution and retrial rate. In this system, ... More
Add   Heavy outgoing call asymptotics for MMPP/M/1/1 retrial queue with two-way communication
Authors: Nazarov, Anatoly A. | Phung-Duc, Tuan | Paul, Svetlana
Source: Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 16th International Conference, ITMM 2017, named after A. F. Terpugov, Kazan, Russia, September 29 - October 3, 2017 : proceedings. [S. l.], 2017. P. 28-41
Type: статьи в сборниках
Date: 2017
Description: In this paper, we consider an MMPP/M/1/1 retrial queue where incoming fresh calls arrive at the server according to a Markov modulated Poisson process. Upon arrival, an incoming call either occupies t ... More
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