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## Rates of queue length convergence for priority queues with orientation. (English)

Authors: Chumac V. P.

### Abstract

The $\vec M_r| \vec G|1| \infty$ priority queues with orientation in the cases of twelve varieties of preemptive priority and the mode of service facility orientation called "vanishing" are investigated. Under the condition of $r$ streams customer system traffic equality to unity, the limit relationship for the Laplace-Stieltjes transform of queue length is found at $t\rightarrow \infty$, and the rates of its convergence are determined.

Institutul de Matematica Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova