On the insensitivity of the stationary distribution of the limited resources queuing system with state-dependent arrival and service rates

The authors consider further generalization of the queuing systems, in which customers require not only a server but also a certain amount of limited resources. In the considered queuing system, arrival and serving intensities depend on the statе of the system. The authors assume an arbitrary distribution of the service time. The authors prove that the stationary distribution of the system has product form in the case of Poisson arrivals. Moreover, it was shown that the steady-state probability distribution of number of customers in the system and volumes of occupied resources depends on the service time distribution only through its mean. © 2018 Federal Research Center Computer Science and Control of Russian Academy of Sciences.

Авторы
Издательство
Федеральный исследовательский центр "Информатика и управление" РАН
Номер выпуска
3
Язык
Русский
Страницы
42-47
Статус
Опубликовано
Том
12
Год
2018
Организации
  • 1 Peoples' Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
  • 2 Institute of Informatics Problems, Federal Research Center “Computer Sciences and Control”, Russian Academy of Sciences, 44-2 Vavilov Str., Moscow, 119333, Russian Federation
  • 3 Service Innovation Research Institute (PIKE), 8A Annankatu, Helsinki, 00120, Finland
Ключевые слова
Insensitivity; Limited resources; Queueing system; Service time
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36510/