Affiliation:
1. Kharkevich Institute for Information Transmission Problems, Moscow 127051, Russia
Abstract
Positive recurrence for a single-server queueing system is established under generalized service intensity conditions, without the assumption of the existence of a service density distribution function, but with a certain integral type lower bound as a sufficient condition. Positive recurrence implies the existence of the invariant distribution and a guaranteed slow convergence to it in the total variation metric.
Funder
Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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