Stationary waiting time distribution in G/M/n/r with random renovation policy

Consideration is given to G/M/n/r FCFS queue with random renovation policy. This policy implies that a customer upon service completion with probability q(l) removes l customers from the queue and then leaves the system. The choice of customers to be removed from the queue is done in a random fashion. Customer from the queue are served in FCFS order. For this system in a series of papers there were obtained stationary characteristics related to the number of customers in the system. Here we obtain several expressions for the stationary time-related characteristics and specifically dwell on the stationary waiting time distribution, which is obtained in terms of the transforms.

Редакторы
-
Издательство
РУДН
Номер выпуска
-
Язык
Английский
Страницы
489-497
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
-
Том
678
Год
2016
Организации
  • 1 Росcийский университет дружбы народов
Ключевые слова
random renovation; finite capacity; stationary characteristics; waiting time
Дата создания
30.10.2018
Дата изменения
28.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/30758/