Research Article
A Db-Scan Binarization Algorithm Applied to Matrix Covering Problems
Table 4
Comparison between
- and
operators.
| Instance | Best known | - | - | - | - | Best | Avg | Time | Best | Avg | Time | Best | Avg | Time | Best | Avg | Time (s) |
| E.1 | 29 | 29 | 29.9 | 11.1 | 29 | 29.0 | 13.4 | 29 | 29.8 | 10.6 | 29 | 29.0 | 12.1 | E.2 | 30 | 30 | 31.1 | 10.8 | 30 | 30.1 | 13.7 | 31 | 31.6 | 10.9 | 30 | 30.2 | 11.8 | E.3 | 27 | 28 | 28.7 | 10.6 | 27 | 27.5 | 14.1 | 28 | 28.5 | 9.8 | 27 | 27.3 | 12.9 | E.4 | 28 | 29 | 29.9 | 10.1 | 28 | 28.1 | 12.9 | 29 | 29.6 | 10.2 | 28 | 28.0 | 11.5 | E.5 | 28 | 28 | 28.7 | 10.5 | 28 | 28.3 | 13.2 | 28 | 28.4 | 10.4 | 28 | 28.0 | 11.4 |
| F.1 | 14 | 15 | 15.5 | 10.9 | 14 | 14.1 | 12.8 | 15 | 15.7 | 11.3 | 14 | 14.0 | 12.7 | F.2 | 15 | 16 | 16.8 | 11.5 | 15 | 15.4 | 13.5 | 16 | 16.8 | 12.1 | 15 | 15.2 | 13.1 | F.3 | 14 | 14 | 14.9 | 11.9 | 14 | 14.4 | 13.7 | 15 | 15.9 | 10.9 | 14 | 14.1 | 12.6 | F.4 | 14 | 15 | 15.8 | 12.1 | 14 | 14.1 | 13.1 | 15 | 15.7 | 11.2 | 14 | 14.0 | 12.9 | F.5 | 13 | 14 | 14.7 | 11.4 | 13 | 13.4 | 13.4 | 14 | 15.1 | 11.4 | 13 | 13.2 | 13.2 |
| G.1 | 176 | 180 | 183.9 | 68.2 | 176 | 176.8 | 81.3 | 181 | 184.2 | 67.2 | 176 | 177.1 | 73.1 | G.2 | 154 | 160 | 163.8 | 69.1 | 156 | 156.8 | 77.4 | 160 | 164.1 | 64.3 | 156 | 156.6 | 72.6 | G.3 | 166 | 171 | 174.6 | 68.7 | 168 | 168.9 | 79.8 | 172 | 175.3 | 65.1 | 168 | 168.4 | 70.3 | G.4 | 168 | 172 | 175.1 | 68.4 | 169 | 170.1 | 78.1 | 172 | 174.9 | 66.3 | 169 | 169.7 | 68.9 | G.5 | 168 | 173 | 176.4 | 67.1 | 169 | 169.6 | 81.2 | 172 | 175.8 | 64.8 | 168 | 168.2 | 72.1 |
| H.1 | 63 | 68 | 70.6 | 65.8 | 64 | 64.5 | 74.2 | 68 | 70.4 | 61.4 | 64 | 64.8 | 65.3 | H.2 | 63 | 68 | 71.2 | 67.2 | 64 | 64.3 | 73.2 | 68 | 71.7 | 59.7 | 63 | 63.6 | 68.1 | H.3 | 59 | 63 | 66.1 | 68.1 | 60 | 60.4 | 72.1 | 62 | 65.4 | 62.3 | 60 | 60.9 | 69.7 | H.4 | 58 | 63 | 65.9 | 65.7 | 59 | 59.8 | 76.5 | 63 | 66.1 | 61.8 | 59 | 59.2 | 70.3 | H.5 | 55 | 58 | 61.5 | 63.2 | 55 | 55.2 | 74.6 | 59 | 62.3 | 60.2 | 55 | 55.2 | 69.3 |
| Average | 67.1 | 69.7 | 71.76 | 39.12 | 67.6 | 68.04 | 45.11 | 69.85 | 71.87 | 37.09 | 67.5 | 67.84 | 41.2 | Wilcoxon | | 3.65e−4 | 8.84e−5 | | | | | 1.58e−4 | 8.82e−5 | | | | |
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