Stationary States of the Generalized Jackson Networks

Alexander Rybko (1) , Senya Shlosman (2, 1, 3)

1 IITP - Institute for Information Transmission Problems
2 CPT - E5 Physique statistique et systèmes complexes
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Probabilités [math.PR]

Alexander Rybko, Senya Shlosman. Stationary States of the Generalized Jackson Networks. Markov Processes And Related Fields, 2016, 22 (4), pp.759-774. ⟨hal-01265669⟩