  We review the transport properties of the strongly interacting quark-gluon
plasma (QGP) created in heavy-ion collisions at ultrarelativistic energies,
i.e. out-of equilibrium, and compare them to the equilibrium properties. The
description of the strongly interacting (non-perturbative) QGP in equilibrium
is based on the effective propagators and couplings from the Dynamical
QuasiParticle Model (DQPM) that is matched to reproduce the equation-of-state
of the partonic system above the deconfinement temperature $T_c$ from lattice
QCD. We study the transport coefficients such as the ratio of shear viscosity
and bulk viscosity over entropy density, diffusion coefficients, electric
conductivity etc. versus temperature and baryon chemical potential. Based on a
microscopic transport description of heavy-ion collisions we, furthermore,
discuss which observables are sensitive to the QGP formation and its
properties.
