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Thorough experimental studies, based on random business processes, demonstrate that the heuristic algorithm was able to produce service provider allocations that result in execution times that are only a few percentage points (less than 2.5%) worse than the allocations obtained by the optimal algorithm while examining a tiny fraction of the solution space (tens of points versus millions of points).
Section 4 shows the performance results achieved by the optimal algorithm.
Let T OPT and T Alg 1 be the scheduling period's output by the optimal algorithm and Algorithm 1, respectively.
In Fig. 15, we display the frontier found by our approach compared against the one found by the Optimal algorithm when 3 jobs are executing in the cluster.
Similarly, from Figure 11b, it is noted that the utility values achieved by the optimal algorithm are greater than or equal to the values achieved by the uniform algorithm for all rings except ring P6.
However, the numbers of video layers delivered by the optimal algorithm to the MSS in all rings except ring P6 are greater than or equal to the numbers of video layers delivered by the uniform algorithm.
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We now propose the overall RA algorithm, as depicted in Algorithm 1. Specifically in the proposed RA algorithm, we first set m=0 and initialize the power P0 either by the uniform power allocation (UPA) or by using the optimal algorithm, as proposed in [16] when CCI is ignored.
Finally, we examined the accuracy of our algorithm by comparing it with the Optimal algorithm that considers all the possible allocations of slots to jobs and then detects all the non-dominated allocations.
A trivial algorithm for the problem of sorting by signed short operations is the optimal algorithm for the problem of sorting by signed super short operations.
A trivial algorithm for the problem of sorting by signed short reversals is the optimal algorithm for the problem of sorting by signed super short reversals.
To evaluate the efficiency of the proposed algorithm for the joint admission control and power allocation, the performance of the optimal algorithm by searching all possible user combinations is used as a benchmark.
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