Convergence to Steady State Sample Clauses

Convergence to Steady State. Figure 5 illustrates how the cumulative number of transmissions evolves over time in a 50-node network under the two multicast models. The multicast group size is fixed to 5 and f (n) = log2(n). Observe that increasing the infection probability from β = 0.06 to 0.5 decreases the number of transmissions required to generate group key pairs at steady state but increases overhead due to key exchange. Setting β = 0.1 appears to offer a good trade between the steady-state and transient behavior. Figure 6(a) compares the speed of convergence under the random and proximity models; as expected, the latter yields faster conver- gence. Finally, Figure 6(b) illustrates that the convergence rate under the proximity model does not monotonically decrease with increasing t owing to the increasing overlap between multicast destination groups.