Asymptotic analysis of Markovian retrial queue with two-way communication under low rate of retrials condition

In this paper we are reviewing the retrial queue with two-way communication and Poisson arrival process. If the server free, incoming call occupies it. The call that finds the server being busy joins an orbit and retries to enter the server after some exponentially distributed time. If the server is idle, it causes the outgoing call from the outside. The outgoing call can find server free, then it starts making an outgoing call in an exponentially distributed time. If the outgoing call finds the server occupied, then it is lost. To research the system in question we have derived first and second order asymptotics of a number of calls in the orbit in an asymptotic condition of a low rate of retrials. Based on found asymptotics we have built the Gaussian approximation of a number of calls in the orbit. © ECMS Zita Zoltay Paprika, Péter Horák, Kata Váradi,Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics (Editors).

Авторы
Nazarov A. 1, 2 , Paul S.2 , Gudkova I. 1
Сборник материалов конференции
Издательство
European Council for Modelling and Simulation
Язык
Английский
Страницы
687-693
Статус
Опубликовано
Год
2017
Организации
  • 1 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 2 National Research Tomsk State University, 36 Lenina ave.634050, Russian Federation
Ключевые слова
Asymptotic analysis method; Gaussian approximation; Incoming and outgoing calls; Retrial queueing system with two-way communication
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6002/
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