Research Article
Adaptive Black Hole Algorithm for Solving the Set Covering Problem
Table 4
Computational results of groups NRE, NRF, NRG, and NRH.
| Instance | | Black Hole Algorithm | Basic | BH-AS | | RPD | times (ms) | | RPD | times (ms) |
| NRE.1 | 29 | 30 | 0.034 | 6200.0 | 29 | 0.000 | 6135.0 | NRE.2 | 30 | 31 | 0.033 | 6235.4 | 31 | 0.033 | 6115.1 | NRE.3 | 27 | 28 | 0.037 | 5988.3 | 28 | 0.037 | 5991.9 | NRE.4 | 28 | 29 | 0.036 | 6875.2 | 28 | 0.000 | 7081.0 | NRE.5 | 28 | 28 | 0.000 | 7298.1 | 28 | 0.000 | 7191.1 |
| NRF.1 | 14 | 14 | 0.000 | 6788.4 | 14 | 0.000 | 7118.5 | NRF.2 | 15 | 15 | 0.000 | 8313.4 | 15 | 0.000 | 8212.1 | NRF.3 | 14 | 17 | 0.214 | 8934.4 | 16 | 0.143 | 9293.8 | NRF.4 | 14 | 16 | 0.143 | 7746.3 | 14 | 0.000 | 8023.3 | NRF.5 | 13 | 14 | 0.077 | 7021.1 | 14 | 0.077 | 7220.2 |
| NRG.1 | 176 | 182 | 0.034 | 7143.5 | 179 | 0.017 | 7644.8 | NRG.2 | 154 | 160 | 0.039 | 7948.0 | 158 | 0.026 | 8584.5 | NRG.3 | 166 | 170 | 0.024 | 8771.8 | 169 | 0.018 | 9874.0 | NRG.4 | 168 | 170 | 0.012 | 8123.7 | 170 | 0.012 | 8919.2 | NRG.5 | 168 | 170 | 0.012 | 9013.4 | 168 | 0.000 | 9921.2 |
| NRH.1 | 63 | 66 | 0.048 | 15114.6 | 65 | 0.032 | 17911.2 | NRH.2 | 63 | 67 | 0.063 | 16343.4 | 67 | 0.063 | 19733.4 | NRH.3 | 59 | 64 | 0.085 | 19243.7 | 64 | 0.085 | 21840.3 | NRH.4 | 58 | 64 | 0.103 | 18241.6 | 63 | 0.086 | 21421.7 | NRH.5 | 55 | 63 | 0.145 | 24442.6 | 62 | 0.127 | 22242.5 |
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