Электронная библиотека (репозиторий) Томского государственного университета
Nazarov, Anatoly A. | асимптотический анализ

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Add   Gaussian approximation of distribution of states of the retrial queueing system with r-persistent exclusion of alternative customers
Authors: Nazarov, Anatoly A. | Chernikova, Yana
Source: Information Technologies and Mathematical Modelling - Queueing Theory and Applications : 14th International Scientific Conference, ITMM 2015, named after A. F. Terpugov, Anzhero-Sudzhensk, Russia, November 18-22, 2015 : Proceedings. [S. l.], 2015. P. 200-208
Type: статьи в сборниках
Date: 2015
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   Asymptotic analysis of Markovian retrial queue with unreliable server and multiple types of outgoing calls
Authors: Nazarov, Anatoly A. | Paul, Svetlana V. | Lizyura, Olga D.
Source: Global and stochastic analysis. 2021. Vol. 8, № 3. P. 143-149
Type: статьи в журналах
Date: 2021
Description: In this paper, we consider markovian retrial queue with twoway communication and unreliable server. Input process is Poisson with constant rate. Incoming calls that find the server busy join the orbit ... More
Add   Queueing system with two phases of service and service rate degradation
Authors: Fedorova, Ekaterina A. | Lapatin, Ivan L. | Lizyura, Olga D. | Moiseev, Alexander N. | Nazarov, Anatoly A. | Paul, Svetlana V.
Source: Axioms. 2023. Vol. 12, № 2. P. 104 (1-19)
Type: статьи в журналах
Date: 2023
Description: In the paper, a queueing system with an unlimited number of servers and two phases of service with degradation in the service rate is studied. The problem of service rate degradation emerges in cloud ... More
Add   Asymptotic analysis methods for multi-server retrial queueing systems
Authors: Fedorova, Ekaterina A. | Nazarov, Anatoly A. | Moiseev, Alexander N.
Source: Applied probability and stochastic processes. Singapore, 2020. P. 159-177
Type: статьи в сборниках
Date: 2020
Description: In this paper, we consider a multi-server retrial queueing system of type M/M/N. We propose the asymptotic methods for analysis of the system under long delay and heavy load conditions. Application ar ... More
Add   Asymptotic analysis of Markovian retrial queue with two-way communication under low rate of retrials condition
Authors: Nazarov, Anatoly A. | Paul, Svetlana | Gudkova, Irina
Source: 31st European Conference on Modelling and Simulation ECMS 2017, May 23rd - May 26th, 2017, Budapest, Hungary : proceedings. [S. l.], 2017. P. 687-693
Type: статьи в сборниках
Date: 2017
Add   Asymptotic sojourn time analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs
Authors: Sztrik, János | Kvach, Anna | Tóth, Adam | Nazarov, Anatoly A.
Source: Annals of operations research. 2020. Vol. 288, № 1. P. 417-434
Type: статьи в журналах
Date: 2020
Description: The aim of the present paper is to investigate the steady-state distribution of response and
Add   The study of MlMl∞ in a random environment
Authors: Baymeeva, Galina V. | Nazarov, Anatoly A.
Source: Материалы II Всероссийской молодежной научной конференции "Математическое и программное обеспечение информационных, технических и экономических систем", Томск, 16–17 мая 2014 г.. Томск, 2014. С. 75-80
Type: статьи в сборниках
Date: 2014
Add   Semi-Markov resource flow as a bit-level model of traffic
Authors: Nazarov, Anatoly A. | Moiseev, Alexander N. | Lapatin, Ivan L. | Paul, Svetlana V. | Lizyura, Olga D. | Pristupa, Pavel V. | Peng, Xi | Chen, Li | Bai, Bo
Source: Distributed computer and communication networks : 24th International Conference, DCCN 2021 Moscow, Russia, September 20–24, 2021 : revised selected papers. Cham, 2022. P. 220-232
Type: статьи в сборниках
Date: 2022
Description: 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 paper aims to i ... More
Add   A survey of recent results in finite-source retrial queues with collisions
Authors: Nazarov, Anatoly A. | Sztrik, János | Kvach, Anna
Source: Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 17th International Conference, ITMM 2018, named after A. F. Terpugov and 12th Workshop on Retrial Queues and Related Topics, WRQ 2018, Tomsk, Russia, September 10-15, 2018 : selected papers. Cham, 2018. P. 1-15
Type: статьи в сборниках
Date: 2018
Description: The aim of the present paper is to give a review of recent results on single server finite-source retrial queuing systems with collision of the customers. There are investigations when the server is r ... 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   Pseudo steady-state period in non-stationary infinite-server queue with state dependent arrival intensity
Authors: Nazarov, Anatoly A. | Dudin, Alexander | Moiseev, Alexander N.
Source: Mathematics. 2022. Vol. 10, № 15. P. 2661 (1-12)
Type: статьи в журналах
Date: 2022
Description: An infinite-server queueing model with state-dependent arrival process and exponential distribution of service time is analyzed. It is assumed that the difference between the value of the arrival rate ... More
Add   Asymptotic diffusion analysis of multi-server retrial queue with hyper-exponential service
Authors: Moiseev, Alexander N. | Nazarov, Anatoly A. | Paul, Svetlana V.
Source: Mathematics. 2020. Vol. 8, № 4. P. 531 (1-16)
Type: статьи в журналах
Date: 2020
Description: A multi-server retrial queue with a hyper-exponential service time is considered in this
Add   Sojourn time analysis of finite source Markov retrial queuing system with collision
Authors: Kvach, Anna | Nazarov, Anatoly A.
Source: Information Technologies and Mathematical Modelling - Queueing Theory and Applications : 14th International Scientific Conference, ITMM 2015, named after A. F. Terpugov, Anzhero-Sudzhensk, Russia, November 18-22, 2015 : Proceedings. Cham, 2015. P. 64-72
Type: статьи в сборниках
Date: 2015
Add   Asymptotic sojourn time analysis of finite-source M/M/1 retrial queuing system with two-way communication
Authors: Nazarov, Anatoly A. | Sztrik, János | Kvach, Anna
Source: Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 17th International Conference, ITMM 2018, named after A. F. Terpugov and 12th Workshop on Retrial Queues and Related Topics, WRQ 2018, Tomsk, Russia, September 10-15, 2018 : selected papers. Cham, 2018. P. 172-183
Type: статьи в сборниках
Date: 2018
Description: The aim of the present paper is to investigate a retrial queuing system M/M/1 with a finite number of sources and two-way communication. Each source can generate a request after an exponentially distr ... More

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