Mathematical Model of Wireless Network as a Cyclic Random Access Queueing System | Tekhnologii bezopasnosti zhiznedeyatelnosti – Life Safety/Security Technologies. 2023. № 2. DOI: 10.17223/7783494/2/5

Mathematical Model of Wireless Network as a Cyclic Random Access Queueing System

In this paper, we investigate mathematical model of wireless network in the form of cyclic queueing system with retrials, two input stationary Poisson processes and exponential distribution service times. Applying asymptotic analysis method, we obtain limiting stationary distribution of the number of customers in considered queueing model of data network. The authors declare no conflicts of interests.

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Keywords

wireless network, cyclic retrial queue, asymptotic analysis method

Authors

NameOrganizationE-mail
Nazarov Anatoly A.Tomsk State Universitynazarov.tsu@gmail.com
Shulgina Ksenia S.Tomsk State Universityshulgina19991999@mail.ru
Salimzyanov Radmir R.Tomsk State Universityrsalimzyanov@yahoo.com
Paul Svetlana V.Tomsk State Universitypaulsv82@mail.ru
Shashev Dmitry V.Tomsk State Universitydshashev@mail.ru
Всего: 5

References

Pasandideh F., J.P.J. da Costa, Kunst R. et al. A Review of Flying Ad Hoc Networks: Key Characteristics, Applications, and Wireless Technologies // Remote Sensing. 2022. V. 14(18). Art. 4459. P. 1-25.
Вишневский В.М., Семёнова О.В. Системы поллинга: теория и применение в широкополосных беспроводных сетях. М.: Техносфера, 2007. 312 c.
Вишневский В.М., Семёнова О.В. Математические методы исследования систем поллинга // Автоматика и телемеханика. 2006. № 2. C. 3-56.
Nazarov A., Paul S. A Cyclic Queueing System with Priority Customers and T-Strategy of Service // CCIS. 2016. V. 678. P. 182193.
Artalejo J.R., Gomez-Corral A. Retrial queueing systems: A computational approach. Berlin: Springer, 2008. 267 p.
Falin G.I., Templeton J. G. C. Retrial Queues. London: Chapman and Hall, 1997. 328 p.
Alfa A.S., Isotupa K.P.S. An M/PH/k retrial queue with finite number of sources // Computers and Operations Research. 2004. V. 31(9). P. 1455-1464.
Artalejo J.R. Algorithmic Methods in Retrial Queues. Dordrecht: Springer. Series Annals of operations research, 2006. V. 141.
Nazarov A., Paul S., Gudkova I. Acymptotic analysis of markovian retrial queue with two-way communication under low rate of retrial condition // 31st European Conference on Modelling and Simulation (ECMS-2017): proceedings. Budapest, Hungary, May 23-26, 2017. Sbr.-Dudweiler, 2017. P. 687-693.
Nazarov A., Phung-Duc Т., Paul S. Heavy outgoing call asymptotics for MMPP/M/1/1 retrial queue with two-way communication // Communications in Computer and Information Science. 2017. V. 800: 16th International Conference on Information Technologies and Mathematical Modelling (ITMM-2017). Kazan, 2017. P. 28-41.
 Mathematical Model of Wireless Network as a Cyclic Random Access Queueing System | Tekhnologii bezopasnosti zhiznedeyatelnosti – Life Safety/Security Technologies. 2023. № 2. DOI: 10.17223/7783494/2/5

Mathematical Model of Wireless Network as a Cyclic Random Access Queueing System | Tekhnologii bezopasnosti zhiznedeyatelnosti – Life Safety/Security Technologies. 2023. № 2. DOI: 10.17223/7783494/2/5

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