  Recently formulated model of highly-anisotropic and strongly dissipative
hydrodynamics is used in 3+1 dimensions to study behavior of matter produced in
ultra-relativistic heavy-ion collisions. We search for possible effects of the
initial high anisotropy of pressure on the final soft-hadronic observables. We
find that by appropriate adjustment of the initial energy density and/or the
initial pseudorapidity distributions, the effects of the initial anisotropy of
pressure may be easily compensated and the final hadronic observables become
insensitive to early dynamics. Our results indicate that the early
thermalization assumption is not necessary to describe hadronic data, in
particular, to reproduce the measured elliptic flow v_2. The complete
thermalization of matter (local equilibration) may take place only at the times
of about 1-2 fm/c, in agreement with the results of microscopic models.
