Tandem queues with a Markov flow and blocking

A tandem queueing system with two phases and a Markov flow entering into the first phase is studied. Both phases are characterized by one server with a buffer of finite capacity. The service times have an arbitrary distribution function and the service process in the second phase is of Markov-type. An arriving customer who finds the first buffer full is lost. A customer served in the first phase blocks its operation if there is no free waiting place in the second phase at this moment. The stationary distribution of a Markov chain embedded at the instants of customer transitions from the first phase to the second one is obtained. A computing algorithm was derived for PH-distribution of service time in the first server. Numerical examples are given.

Авторы
Bocharov P. , Manzo R. , Pechinkin A.
Редакторы
-
Издательство
SCS EUROPE
Номер выпуска
-
Язык
Английский
Страницы
5-10
Статус
Опубликовано
Подразделение
-
Ссылка
-
DOI
-
Номер
-
Том
-
Год
2004
Организации
-
Ключевые слова
Tandem queues; finite buffers; blocking
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/8904/