41576

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Properties of Fluid Limit for Closed Queueing Network with Two Multi-servers

ISBN/ISSN: 

978-3-319-51916-6

DOI: 

DOI: 10.1007/978-3-319-51917-3

Наименование источника: 

  • Distributed Computer and Communication Networks, series Communications in Computer and Information Science

Обозначение и номер тома: 

Volume 678

Город: 

  • Switzerland

Издательство: 

  • Springer International Publishing

Год издания: 

2016

Страницы: 

369-380 http://link.springer.com/chapter/10.1007/978-3-319-51917-3_33
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. Properties of Fluid Limit for Closed Queueing Network with Two Multi-servers // Distributed Computer and Communication Networks, series Communications in Computer and Information Science. 2016. Volume 678. С. 369-380 http://link.springer.com/chapter/10.1007/978-3-319-51917-3_33.