67688

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Доклад

Название: 

Unreliable retrial queueing system with a backup server

ISBN/ISSN: 

978-3-030-92506-2

DOI: 

10.1007/978-3-030-92507-9_25

Наименование конференции: 

  • 24rd International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2021)

Наименование источника: 

  • Lecture Notes in Computer Science

Обозначение и номер тома: 

13144

Город: 

  • Heidelberg, Germany

Издательство: 

  • Springer

Год издания: 

2021

Страницы: 

308-322
Аннотация
In this paper we consider an unreliable retrial queueing system consisting of the main unreliable server, the reliable backup server and the orbit of infinite size. Customers and breakdowns arrive to the main server according to Markovian arrival processes (MAPs). If the main server is busy at a customer arrival moment, then the customer goes to the orbit. If at the moment of a primary or an orbital customer arrival the main server is under repair and the backup server is idle, then the customer goes to the backup server. If during the service by the backup server the main server restores, the customer goes to this server and is serviced as a new. If at the time of the arrival of a primary or an orbital customer the main server is repaired and the backup one is busy, then the customer goes to orbit. If a breakdown arrives at the busy main server, then the under-served customer is transferred to the backup server and is serviced as a new. Service times and repair times have phase type (PH) distributions. The system under consideration can be used when modeling the hybrid communication system presented by the main optic channel and the reserve radio channel. We investigate the stable system operation, calculate the stationary distribution and a number of performance measures. We also present illustrative numerical examples to show the behavior of the performance measures of the system.

Библиографическая ссылка: 

Клименок В.И., Дудин А.Н., Семёнова О.В. Unreliable retrial queueing system with a backup server / Lecture Notes in Computer Science. Heidelberg, Germany: Springer, 2021. 13144. С. 308-322.