Stationary States of the Generalized Jackson Networks
Alexander Rybko, Senya Shlosman
TL;DR
This paper establishes conditions for the existence and uniqueness of stationary distributions in generalized Jackson Networks on countable graphs with arbitrary service times, extending previous results in the field.
Contribution
It generalizes earlier findings by Kelbert, Kontsevich, and Rybko to broader network configurations and service time distributions.
Findings
Sufficient conditions for stationary distribution existence
Conditions for uniqueness of stationary states
Extension of previous Jackson Network results
Abstract
We consider Jackson Networks on general countable graphs and with arbitrary service times. We find natural sufficient conditions for existence and uniqueness of stationary distributions. They generalise these obtained earlier by Kelbert, Kontsevich and Rybko.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Advanced Queuing Theory Analysis · Scientific Research and Discoveries