  Equilibration of highly excited baryon-rich matter is studied within the
microscopic model calculations in A+A collisions at energies of BES, FAIR and
NICA. It is shown that the system evolution from the very beginning of the
collision can be approximated by relativistic hydrodynamics, although the hot
and dense nuclear matter is not in local equilibrium yet. During the evolution
of the fireball the extracted values of energy density, net baryon and net
strangeness densities are used as an input to Statistical Model (SM) in order
to calculate temperature $T$, chemical potentials $\mu_B$ and $\mu_S$, and
entropy density $s$ of the system. Also, they are used as an input for the box
with periodic boundary conditions to investigate the momentum correlators in
the infinite nuclear matter. Shear viscosity $\eta$ is calculated according to
the Green-Kubo formalism. At all energies, shear viscosity to entropy density
ratio shows minimum at time corresponding to maximum baryon density. The ratio
dependence on $T, \mu_B, \mu_S$ is investigated for both in- and out of
equilibrium cases.
