Analysis of Networks of the Resource Queuing Systems

Consideration was given to the model of a queuing network with resource queuing systems—the multi-server systems with losses where servicing of the accepted customer occupies random volumes of resources with the given distribution function depending on the customer class and the type of required servicing. Customer servicing in a node can be interrupted by a signal arriving at an exponential time from the start of servicing, and during the time of customer sojourn in the network it may be interrupted more than once. Analytical formulas for calculation of the fundamental probability-time model characteristics—including the joint distribution functions of the number of customers in the nodes and the volumes of resources occupied by them—were proposed on the assumption of the Poisson flows incoming to the nodes and arbitrary servicing. © 2018, Pleiades Publishing, Ltd.

Авторы
Издательство
Maik Nauka Publishing / Springer SBM
Номер выпуска
5
Язык
Английский
Страницы
822-829
Статус
Опубликовано
Том
79
Год
2018
Организации
  • 1 Service Innovation Research Institute, Helsinki, Finland
  • 2 Peoples’ Friendship University (RUDN University), Moscow, Russian Federation
Ключевые слова
queuing networks; queuing system with interrupt of servicing; resource queuing systems
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6668/