  We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple
Exclusion Process) for stochastic 1d transport to allow for two different
particle species, each having specific entry and exit rates. We offer a
complete mean-field analysis, including a phase diagram, by mapping this model
onto an effective one-species TASEP. Stochastic simulations confirm the
results, but indicate deviations when the particle species have very different
exit rates. We illustrate that this is due to a phenomenon of intermittency,
and formulate a refined 'intermittent' mean-field (iMF) theory for this regime.
We discuss how non-stationary effects may further enrich the phenomenology.
