  We formulate and analyze the steady-state behavior of totally asymmetric
simple exclusion processes (TASEPs) that contain periodically varying movement
rates. In our models, particles at a majority sites hop to the right with rate
$p_1$ while particles occupying a periodically arranged set of sites move to
the right at rate $p_2$. A number of approximate mean field approaches are used
to study the steady-state currents and bulk densities of this model. While
exact solutions are not found, the mean field approaches provide results that
show good agreement with data derived from extensive Monte-Carlo simulations.
