Scientific publications

Е.В. Морозов, Р.С. Некрасова.

Система с повторными вызовами: оценивание вероятности блокировки вызова на конечном интервале

// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии. Вып. 3. 2012. C. 68-77

E.V. Morozov, R.S. Nekrasova. A retrial queueing system: estimation of the blocking probability in a finite time interval // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. Vol. 3. 2012. Pp. 68-77

Keywords: Retrial queuing system, stability condition, busy probability, estimation on finite interval

The paper deals with regeneration estimation of busy probability in a single server retrial queueing system in transient regime. Primary customer who finds the server busy joins the infinite capacity orbit to wait as in a queue for retrial. Stability conditions of such a system are discussed. Estimation is applied both to the stability and the instability domains of this system. The focus in the paper is on estimation of the blocking probability over a finite interval, that is in transient regime. Standard sample mean estimate and the alternative estimate based on the knowledge of the stationary blocking probability were compared.

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Last modified: November 21, 2012