43000

Автор(ы): 

Фархадов М. П. (ИПУ РАН, Лаборатория 17)
Fedorova E. A. (ТГУ)

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Retrial Queue M/M/1 with Negative Calls Under Heavy Load Condition

ISBN/ISSN: 

978-3-319-66835-2

DOI: 

10.1007/978-3-319-66836-9_34

Наименование источника: 

  • Distributed Computer and Communication Networks. DCCN 2017. Communications in Computer and Information Science

Обозначение и номер тома: 

Part of the Communications in Computer and Information Science book series (CCIS, volume 700)

Город: 

  • Cham

Издательство: 

  • Springer

Год издания: 

2017

Страницы: 

406-416. https://doi.org/10.1007/978-3-319-66836-9_34
Аннотация
In the paper, the retrial queueing system of M/M/1 type with negative calls is considered. The system of Kolmogorov equations for the system states process is derived. The method of asymptotic analysis is proposed for the system solving under the heavy load condition. The theorem about the gamma form of the asymptotic characteristic function of the number of calls in the orbit is formulated and proved. During the study, the expression for the system throughput is obtained. Also the exact characteristic function is derived. Numerical examples of comparison asymptotic and exact distributions are presented. The conclusion about the asymptotic method application area is made.

Библиографическая ссылка: 

Фархадов М.П., Fedorova E.A. Retrial Queue M/M/1 with Negative Calls Under Heavy Load Condition // Distributed Computer and Communication Networks. DCCN 2017. Communications in Computer and Information Science. 2017. Part of the Communications in Computer and Information Science book series (CCIS, volume 700). С. 406-416. https://doi.org/10.1007/978-3-319-66836-9_34.