Figure 3 also shows the total number of workloads where the partitioning methods were used in the experiments. The total number of workloads is also expected to be proportional to the total processing time of PSC. The total number of workloads generated by the random partitioning scheme is orders of magnitudes higher than the total number of workloads generated with the greedy partitioning scheme. The total number of workloads generated with the greedy partitioning scheme is almost equal to the total number of workloads generated with the random partitioning scheme. This is because the greedy partitioning scheme generates partitions that are almost the same as to the normalized sum of the sum (or product) of the pair protein lengths.
wsum) and the product of the lengths of the protein pairs (wp). Partitions created with the greedy scheme are almost equal as to the normalized sum of the sum (or product) of the pair protein lengths. Therefore, the difference between the partitions is almost zero and is illustrated by the black line on the chart. On the other hand, the partitions generated using a random scheme vary a lot in terms of the normalized sum of the sum (or product) of the pair protein lengths. The larger the sum, the larger the difference between the partitions generated by the random scheme as shown by the gray line on the chart. This variation in the partitions means that it will be hard to predict the number of workloads that can fit on a core with a given partition. Thus, it is suggested that it is better to use the greedy partitioning scheme when operating on a scalable architecture with resources that are not pre-allocated.
The table contains also the Average and Standard Deviation (Std) of the sizes of the partitions produced by the random and greedy partitioning schemes, given the same number of total domains processed, and the average processing time per domain that the two partitioning schemes require. The table also contains the average processing time per domain that is required by the random and greedy partitioning schemes given the same number of total domains processed. The processing time corresponds to the time required to partition the SCOP domains and is not compensated for idle times.
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