Retrial queueing system of MMPP/M/2 type with impatient calls in the orbit O. Vygovskaya, E. Danilyuk, S. P. Moiseeva
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): системы с повторными вызовами | асимптотический анализ | системы массового обслуживанияGenre/Form: статьи в сборниках Online resources: Click here to access online
In:
Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 17th International Conference, ITMM 2018, named after A. F. Terpugov and 12th Workshop on Retrial Queues and Related Topics, WRQ 2018, Tomsk, Russia, September 10-15, 2018 : selected papers P. 387-399Abstract: In the paper, the retrial queueing system of MMPP/M/2 type with input MMPP-flow of events and impatient calls is considered. The delay time of calls in the orbit, the calls service time and the impatience time of calls in the orbit have exponential distribution. Asymptotic analysis method is proposed for the solving problem of finding distribution of the number of calls in the orbit under a system heavy load and long time patience of calls in the orbit condition. The theorem about the Gauss form of the asymptotic probability distribution of the number of calls in the orbit is formulated and proved. Numerical illustrations, results are also given.
Библиогр.: 26 назв.
In the paper, the retrial queueing system of MMPP/M/2 type with input MMPP-flow of events and impatient calls is considered. The delay time of calls in the orbit, the calls service time and the impatience time of calls in the orbit have exponential distribution. Asymptotic analysis method is proposed for the solving problem of finding distribution of the number of calls in the orbit under a system heavy load and long time patience of calls in the orbit condition. The theorem about the Gauss form of the asymptotic probability distribution of the number of calls in the orbit is formulated and proved. Numerical illustrations, results are also given.
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