  We propose and analyze a heterogenous multiscale method for the efficient
integration of constant-delay differential equations subject to fast periodic
forcing. The stroboscopic averaging method (SAM) suggested here may provide
approximations with $\(\mathcal{O}(H^2+1/\Omega^2)\)$ errors with a
computational effort that grows like $\(H^{-1}\)$ (the inverse of the
stepsize), uniformly in the forcing frequency Omega.
