  Recently a cluster Monte Carlo algorithm has been used very successfully in
the two-dimensional Edwards-Anderson (EA) model. We show that this algorithm
and a variant thereof can also be used successfully in models with a non-zero
spin glass transition temperature. The application of such algorithms to the
site-diluted EA model in three dimensions is discussed and the efficiency of
the two algorithms is compared among each other and to parallel tempering.
Finally, we give evidence for a spin glass transition in the three-dimensional
site-diluted EA model with Gaussian couplings at a site occupation of p = 62.5
%.
