  We use a Monte Carlo simulation to study the diluted antiferromagnetic Ising
model on the frustrated lattices including the pyrochlore lattice to show the
dilution effects. Using the Wang-Landau algorithm, which directly calculates
the energy density of states, we accurately calculate the entropy of the
system. We discuss the nonmonotonic dilution concentration dependence of
residual entropy for the antiferromagnetic Ising model on the pyrochlore
lattice, and compare it to the generalized Pauling approximation proposed by Ke
et al. [Phys. Rev. Lett. 99, 137203 (2007)]. We also investigate other
frustrated systems, the antiferromagnetic Ising model on the triangular lattice
and the kagome lattice, demonstrating the difference in the dilution effects
between the system on the pyrochlore lattice and that on other frustrated
lattices.
