Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Positive Recurrence of Mn/GI/1/∞ Model

Version 1 : Received: 23 September 2023 / Approved: 25 September 2023 / Online: 25 September 2023 (05:37:40 CEST)

A peer-reviewed article of this Preprint also exists.

Veretennikov, A. On Positive Recurrence of the Mn/GI/1/∞ Model. Mathematics 2023, 11, 4514. Veretennikov, A. On Positive Recurrence of the Mn/GI/1/∞ Model. Mathematics 2023, 11, 4514.

Abstract

Positive recurrence for a single-server queueing system is established under generalised intensity conditions of service which does not assume existence of the density distribution function of service but a certain integral type lower bound as a sufficient condition. Positive recurrence implies existence of the invariant distribution and a guaranteed slow convergence to it in the total variation metric.

Keywords

M/GI/1/∞; positive recurrence; general service distribution function

Subject

Computer Science and Mathematics, Probability and Statistics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.