  We show that the TASEP of a driven system of particles of arbitrary size,
with nearest neighbor repulsive interaction, on an open lattice is equivalent
to the TASEP of interacting monomers on an open lattice whose size fluctuates
in response to the entry and exit of particles. We have presented the maximal
current profile as a function of the interaction strength for dimers and
tetramers, obtained in Monte Carlo simulation; the results agree well with the
ones computed by applying a specific rod-to-monomer mapping to the steady state
current and density predicted by a mean-field theory of interacting monomers
which adapts a Markov Chain approach for incorporating nearest-neighbor
correlations.
