11 months ago
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Mathematics, Vol. 11, Pages 4514: On Positive Recurrence of the Mn/GI/1/∞ Model
Mathematics doi: 10.3390/math11214514
Authors: Alexander Veretennikov
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.
