Toward Understanding of Metastability in Large-Scale Loss Networks with Mobile Users: Emergence and Implications for Performance
Vladimir V. Marbukh, Daniel I. Genin
We investigate the behavior of a distributed server loss network with mobile users.While the Markov model provides an accurate ¿microscopic¿ model of the network behavior, the dimension of this model grows exponentially with the number of nodes precluding solution of the corresponding Kolmogorov equations. Dimension of the mean-field approximation model grows only linearly with the number of nodes making this approximation computationally tractable. Through numerical analysis we show that the equilibrium state of the corresponding mean-field model bifurcates under increasing network load. These multiple solutions are interpreted as describing network¿s metastable states associated with phase transitions. We discuss performance characteristics of the network and construct a representative phase diagram.
and Genin, D.
Toward Understanding of Metastability in Large-Scale Loss Networks with Mobile Users: Emergence and Implications for Performance, 12th World Multiconference on Systems, Orlando, FL, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=51322
(Accessed December 11, 2023)