41575

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Доклад

Название: 

Closed Queueing Network Including Multi-Servers: Fluid Limit, Its Equilibrium and Time Convergence

ISBN/ISSN: 

ISBN 978-5-209-07667-4

Наименование конференции: 

  • 19th International Conference, Distributed Computer and Communication Networks (DCCN 2016, Moscow, Russia)

Наименование источника: 

  • Proceedings of the 19th International Conference, Distributed Computer and Communication Networks (DCCN 2016, Moscow, Russia)

Обозначение и номер тома: 

Volume 1 Architecture, Methods of Control, Modeling and Design of Computer Networks

Город: 

  • Москва

Издательство: 

  • Издательство РУДН

Год издания: 

2016

Страницы: 

208-215
Аннотация
A closed network consists of two multi-servers with $n$ customers. Service requirements of customers at a server have a common cdf. State parameters of the network: for each multi-server empirical measure of the age of customers being serviced and for the queue the number of customers in it, all multiplied by $n^{-1}$. Our objective: asymptotics of dynamics as $n\to \infty$. The asymptotics of dynamics of a single multi-server with an arrival process as the number of servers $n\to \infty$ is currently studied by famous scientists K. Ramanan, W. Whitt et al. Presently there are no universal results for general distributions of service requirements---the results are either for continuous or for discrete time ones; the same for the arrival process. We develop our previous asymptotics results for a network in discrete time: find equilibrium and prove convergence as $t\to \infty$. Motivation for studying such models: they represent call/contact centers.

Библиографическая ссылка: 

Анулова С.В. Closed Queueing Network Including Multi-Servers: Fluid Limit, Its Equilibrium and Time Convergence / Proceedings of the 19th International Conference, Distributed Computer and Communication Networks (DCCN 2016, Moscow, Russia). М.: Издательство РУДН, 2016. Volume 1 Architecture, Methods of Control, Modeling and Design of Computer Networks . С. 208-215.