Fig. 5 shows the initial and optimized uplink utilizations as well as path length and latency stretch depending on the number of nodes. Both mean and 90th percentile of the initial link utilization grow linearly with the number of nodes, because the number of outgoing message streams equals the fan-out. With 50 nodes, link utilization is below 100%, hence, there is no need for further reduction. But the higher the density and therefore link utilization gets, the greater becomes the improvement in the optimized case. Especially the most utilized nodes, represented by the 90th percentiles, profit the most. In return, reduction of link utilization in the denser cases is paid with an increased path length and latency stretch.