Communities of autonomous units are devices for the visual modeling of interactive logistic processes. The framework is founded on rule-based graph transformation and allows specifying autonomous units in such a way that they can run in parallel and make their decision about future actions independently of each other. The usefulness of the framework is demonstrated in this paper by modeling a new variant of production networks with discrete production processes. One of the main results shows that the visual model is correct with respect to a more traditional quantitative mathematical model.