31919

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Тезисы доклада

Название: 

The bounds of the convergence rate for unreliable queuing network

Наименование конференции: 

  • 32th International Seminar on Stability Problems for Stochastic Models (Moscow, 2014)

Наименование источника: 

  • Book of Abstracts of XXXII International Seminar on Stability Problems for Stochastic Models and VIII International Workshop «Applied Problems in Theory of Probabilities and Mathematical Statistics related to modeling of information systems» (Moscow, 2014

Город: 

  • Moscow

Издательство: 

  • IPI RAN

Год издания: 

2014

Страницы: 

36
Аннотация
In this paper we consider a Jackson type network with unreliable devices. The network consists of m,(m < ∞) nodes, each node is a queuing system of M/G/1 type. It is assumed that the flow of requests, coming into the network, is the Poisson process with parameter λ(t). With probability r0i the request is sent to the i- th node , Pm i=1 r0i ≤ 1, where it is proccessed with intensity µi(ni) , ni - the number of requests in the i- th node . Devices in the network may break down or repair with some intensity, depending on the number of already broken down devices. Devices may break down and repair as an isolated event or in groups simultaneously. In this paper we will formulate results on the bounds of convergence rate for such network.

Библиографическая ссылка: 

Калимулина Э.Ю. The bounds of the convergence rate for unreliable queuing network / Book of Abstracts of XXXII International Seminar on Stability Problems for Stochastic Models and VIII International Workshop «Applied Problems in Theory of Probabilities and Mathematical Statistics related to modeling of information systems» (Moscow, 2014. Moscow: IPI RAN, 2014. С. 36.