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A direct comparison between the schemes shows that the Hysteresis scheme outperforms the k-Handover and the Greedy scheme in 75% of all simulation instances.
The maximum values obtained using the simple branching operation for different problem sizes were compared to the optimal solutions obtained through the branch-and-bound method over 1000 different simulation instances.
Figure 8 shows the average PSNR plot, averaged over all simulation instances and over the whole sequence duration, for the received sequence of the first user for,, and subcarriers, where increasing the number of subcarriers is synonymous to an increase in the available bandwidth.
For test scenarios with subcarriers, , and, for each user and and users, respectively, and using the channel model described in Section 5.2 for over 2000 different simulation instances, it was observed that using the simplex algorithm [19] to solve the linear relaxation of (1) with the extra constraints from the lift-and-project led to an integral solution around 13% of simulation cases.
Since the simulation results are obtained by averaging over the macrocells and picocells, we can say that the simulation results were obtained by averaging over approximately λ AuNsim macrocells and λ′AuNsim picocells, where Nsim is the number of simulation instances.
However, it becomes smaller when launching more simulation instances in the parallel implementation because the total execution time increases less than the number of iterations computed.
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This tool integrates the two previous simulators by automatically generating global simulation model instances.
With reference to Figure 6, the inner simulation area Au where the UEs are distributed consists of a random number of macrocells and picocells in each simulation instance.
A simulation instance is illustrated in Figure 1.
For each system size, we launched concurrently on the GPU an increasing number of stochastic simulations; that is, we launched the simulation kernel with an increasing number of blocks (as explained before, the evolution of a simulation instance is computed entirely by a single block of threads independently from the others).
Figure 4 shows the trust values computation of a some specific misbehaving node at different simulation time instances.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com