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Table 8 shows approximated solution, noisy solutions, and exact solution.

Then we have a unique classical approximated solution u n by Theorem 2.1.

From Lemma 2.1 we obtain an approximated solution, its complexity is about (4n^{2}) flops.

Finally, we derive a closed-form approximated solution for the stability region for general M-link slotted ALOHA system under partial interference effects.

LLOOVIA, which can be used with multi-cloud environments, provides two types of solutions: (1) the optimal solution and (2) the approximated solution based on a novel approach that uses binning applied on histograms of load levels.

The approximated solution obtained via HDM is compared with those obtained via other methods to prove the trustworthiness of HDM.

Figure 1 Solution for N = 8. Figure 2 Approximated solution for T ( t ) and N = 8. Figure 3 Approximated solution for I ( t ) and N = 8. Figure 4 Approximated solution for V ( t ) and N = 8.

Let (hat{U} x,t)) be the computed spline approximation to the approximated solution (U x,t)), where (hat{U} x,t)=sum_{i=-1}^{N+1}d_{i}(t phi _{i}(x)).

Therefore, the approximated solution can be obtained.

The approximated solution by the presented method is shown in Figure 1.

With those assumptions, we can formulate the throughput fair (approximated) solution in three steps.