Research Article

On global values of virtual waiting time of a customer in open queueing networks

Published in: Quaestiones Mathematicae
Volume 44 , issue 10 , 2021 , pages: 1305–1319

DOI: 10.2989/16073606.2020.1791274

Author(s): Saulius Minkevičius , Lithuania , Leonidas L. Sakalauskas , Lithuania

Keywords: 60K25 , 60G70 , 60F17 , 60K25 , 60G70 , 60F17

Abstract

The object of this research on queueing theory is to analyze the behaviour of open queueing network, working under overload heavy traﬃc conditions. We have proved probability limit theorem for the global values of virtual waiting time of a customer in open queueing networks. Finally, we present application of the recurrent method in the further analysis of open queuing networks.

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