80039

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Доклад

Название: 

Tandem Retrial Queueing System with Markovian Arrival Process and Common Orbit

Электронная публикация: 

Да

ISBN/ISSN: 

978-3-031-80853-1

DOI: 

10.1007/978-3-031-80853-1_16

Наименование конференции: 

  • 27th International Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2024)unication Networks, (DCCN-2024)

Наименование источника: 

  • Proceeding of the 27th international scientific conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2024)

Обозначение и номер тома: 

volume 15460

Город: 

  • Cham

Издательство: 

  • Springer

Год издания: 

2025

Страницы: 

203–218
Аннотация
In the current paper, a retrial tandem queueing system consisting of two stations in series is investigated. Each station is represented by a single server and a limited size buffer. Customers arrive at the first station according to a Markovian Arrival Process (MAP). The service time at the first and the second server has a Phase type (P H) distribution. The novelty of the model under consideration is the presence of a common orbit for blocked customers both at the first and second stations. Unlike other few studies of retrial tandem systems with a common orbit, our model is more general and we obtain analytical results using matrix-analytic technique. We derive the sufficient conditions for existence and absence of the stationary regime in the system, calculate the steady-state distribution of the number of customers in the orbit and at the stations and derive formulas for the most significant performance measures.

Библиографическая ссылка: 

Клименок В.И., Вишневский В.М. Tandem Retrial Queueing System with Markovian Arrival Process and Common Orbit / Proceeding of the 27th international scientific conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2024). Cham: Springer, 2025. volume 15460. С. 203–218.