  In this article, we investigate a multispecies generalization of the
single-species asymmetric simple exclusion process defined on an open
one-dimensional lattice. We devise an exact projection scheme to find the phase
diagram in terms of densities and currents of all species. In most of the
phases, one or more species are absent in the system due to dynamical
expulsion. We observe shocks as well in some regions of the phase diagram. We
explain the density profiles using a generalized shock structure that is
substantiated by numerical simulations.
