  We consider a multi-species generalization of the Asymmetric Simple Exclusion
Process on an open chain, in which particles hop with their characteristic
hopping rates and fast particles can overtake slow ones. The number of species
is arbitrary and the hopping rates can be selected from a discrete or
continuous distribution. We determine exactly the phase structure of this model
and show how the phase diagram of the 1-species ASEP is modified. Depending on
the distribution of hopping rates, the system can exist in a three-phase regime
or a two phase regime. In the three- phase regime the phase structure is almost
the same as in the one species case, that is, there are the low density, the
high density and the maximal current phases, while in the two-phase regime
there is no high density phase.
