  The generalization of the dimer model on a two-leg ladder is defined and
investigated both, analytically and numerically. For the closed system we
calculate the Landauer resistance analytically and found the presence of the
point of delocalization at the band center which is confirmed by the numerical
calculations of the Lyapunov exponent. We calculate also analytically the
localization length index and present the numerical investigations of the
density of states (DOS). For the open counterpart of this model the
distribution of the Wigner delay times is calculated numerically. It is shown
how the localization-delocalization transition manifest itself in the behavior
of the distribution.
