42983

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Research of Heterogeneous Queueing System SM|M (n)|∞

ISBN/ISSN: 

978-3-319-68069-9

DOI: 

10.1007/978-3-319-68069-9_9

Наименование источника: 

  • Information Technologies and Mathematical Modelling

Обозначение и номер тома: 

CCIS, volume 800

Город: 

  • Cham

Издательство: 

  • Springer

Год издания: 

2017

Страницы: 

122-132. https://link.springer.com/chapter/10.1007/978-3-319-68069-9_10
Аннотация
One of the modifications of the mathematical models used to describe processes in multi-service communication networks and telecommunication systems is the queueing system with heterogeneous servers. As a rule, for simulation of such processes the system with non-Poisson input flows is used. We consider the queuing system with infinite number of servers of n different types and exponential service time. Incoming flow is a Semi Markovian Process (SM-flow). Investigation of n-dimensional stochastic process characterizing the number of occupied servers of different types is performed using the initial moments method.

Библиографическая ссылка: 

Панкратова Е.В., Фархадов М.П., Gelenbe E.. Research of Heterogeneous Queueing System SM|M (n)|∞ // Information Technologies and Mathematical Modelling. 2017. CCIS, volume 800. С. 122-132. https://link.springer.com/chapter/10.1007/978-3-319-68069-9_10.