46180

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

A Study of a Controllable Queueing System with Unreliable Heterogeneous Servers

DOI: 

10.1134/S0005117918020066

Наименование источника: 

  • Automation and Remote Control

Обозначение и номер тома: 

Vol. 79, No. 2,

Город: 

  • Moscow

Издательство: 

  • Pleiades Publishing, Ltd.

Год издания: 

2018

Страницы: 

265–285
Аннотация
We consider a two-channel Markov queueing system with unreliable heterogeneous servers and a common queue. The claims are distributed among the servers with a threshold control policy. According to this policy, a server with the smaller average usage cost must be busy if the system itself is not empty, and the other server is used if the number of customers in the queue exceeds a certain threshold. We analyze the system in stationary mode. We present a method for computing the probabilities of system states and expressions for average performance and reliability characteristics. For the problem of minimizing average losses per unit of time, we obtain a heuristic formula that approximately computes the optimal threshold policy and proposes a method for computing the stationary distribution of the claim waiting time in the system.

Библиографическая ссылка: 

Ефросинин Д.В., Фархадов М.П., Степанова Н.В. A Study of a Controllable Queueing System with Unreliable Heterogeneous Servers // Automation and Remote Control. 2018. Vol. 79, No. 2, . С. 265–285.

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