We consider modulated Poisson--Voronoi tessellations,
intended as models for telecommunication networks on a nationwide
scale. By introducing an algorithm for the simulation of the typical
cell of the latter tessellation, we lay the mathematical foundation for
such a global analysis. A modulated Poisson--Voronoi tessellation has an
intensity which is spatially variable and, hence,
is able to provide a broad spectrum of model scenarios.
Nevertheless, the considered tessellation model is stationary and
we consider the case where the modulation is generated by
a Boolean germ-grain model with circular grains.
These circular grains may either have a deterministic or random
but bounded radius. Furthermore, based on the introduced
simulation algorithm for the typical cell and on Neveu's exchange
formula for Palm probability measures, we show how to estimate the
mean distance from a randomly chosen location to its nearest
Voronoi cell nucleus. The latter distance is interpreted as an
important basic cost characteristic in telecommunication networks,
especially for the computation of more sophisticated functionals
later on. Said location is chosen at random among the points of
another modulated Poisson process where the modulation is
generated by the same Boolean model as for the nuclei. The case of
a completely random placement for the considered location is
thereby included as a special case. The estimation of the cost
functional is performed in a way such that a simulation of the
location placement is not necessary. Test methods for the
correctness of the algorithm based on tests for random software
are briefly discussed. Numerical examples are provided for
characteristics of the typical cell as well as for the cost
functional. We conclude with some remarks about
extensions and modifications of the model regarded in this paper,
like modulated Poisson--Delaunay tessellations.