exactly solvable [@derrida1; @schuetz_dom; @BlytheE07]. The exact solution allows to determine the steady state properties analytically without approximations. These results can then be used as reference system to study the influence of disorder, inhomogeneities etc.

Here we will study the competition between disorder, realized through randomly distributed hopping rates associated to the sites in the TASEP, and [*Langmuir kinetics*]{}, i.e. attachment and detachment processes in the bulk. This is not only of theoretical interest due to the challenges posed by a non-trivial current profile, but also of direct relevance for the description of intracellular transport. The model which we will study here has originally been proposed to describe motor-based transport along microtubules. Although the microtubules itself are homogeneous, the presence of [ *microtubule-associated proteins (MAP)*]{} [@CellBook] can create inhomogeneities which influence the motion of the motors [@mandelkow5].

In comparison to the ASEP, the current profile in the presence of Langmuir kinetics is no longer constant. This requires a slightly different approach since now a “local” point of view becomes necessary. Our main interest will be in the (local) [*transport capacity*]{} defined in Sec. \[model\_sec\]. This important observable is now also a *local* variable and is of direct relevance for biological 