  We calculate the zero-temperature phase diagram of the disordered
Bose-Hubbard model in one dimension using the density matrix renormalization
group. For integer filling the Mott insulator is always separated from the
superfluid by a Bose glass phase. There is a reentrance of the Bose glass both
as a function of the repulsive interaction and of disorder. At half-filling
where no Mott insulator exists, the superfluid density has a maximum where the
kinetic and repulsive energies are about the same. Superfluidity is suppressed
both for small and very strong repulsion but is always monotonic in disorder.
