vary from sample to sample even for fixed system parameters, an investigation of ensembles of systems (e.g. disorder average) rather than single samples is an issue of physical relevance.

In the following sections we will make use of the *particle-hole-symmetry* exhibited by the TASEP/LK which is invariant under the symmetry operation $$\label{part-hole-symm}
1 \longleftrightarrow 0,\,\,\, \alpha \longleftrightarrow \beta,\,\,\, j 
\longleftrightarrow L+1-j,\,\,\, \Omega_a \longleftrightarrow \Omega_d \,\, .$$ However, the particle-hole-symmetry is not essential for the generic behaviour, but it allows to reduce the parameter space that needs to be investigated.

The TASEP/LK with one defect site was already investigated numerically and analytically in [@pff_1def]. Now we want to generalize these results to arbitrary defect samples. Therefor we introduce a local quantity, the *transport capacity* $J^*_j$, which is the site-dependent maximum current that can be achieved by tuning the external parameters $\alpha,\, \beta,\, \Omega_a$ and $\Omega_d$ in the continuum limit [^4]. This quantity will be discussed in detail in section  \[sec-theory\].

Observations by Computer Simulations {#sec-computer}
====================================

In this section we summarize some properties of the system that can be observed with Monte Carlo simulations. Therefor we compare quantities of the inhomogeneous TASEP/LK with the homogeneous TASEP/LK and the TASEP with defects. 