TY  - JOUR
AU  - Puhalskii, Anatolii
PY  - 2026
Y1  - 2026/08/28
TI  - On a Metastable Loss Network
JF  - Stochastic Modeling and Applied Research of Technology
JA  - SMARTY
VL  - 4
DO  - 10.57753/SMARTY.2026.88.12.001
UR  - http://smarty.karelia.website/article/4/1/
SP  - 1
LP  - 10
SN  - 2782-4705
AB  - I will discuss large deviation properties of a mean field thermodynamic limit of a multiclass loss network. The network may have several stable equilibria. The invariant measure of the network process is shown to obey a large deviation principle. The network is metastable in that it spends exponentially long periods of time in the neighbourhoods of stable equilibria. As a case study, a two-class network with two stable and one unstable equilibria is examined.
ER  -