Research Article
Adaptive Black Hole Algorithm for Solving the Set Covering Problem
Table 10
Sampling phase: hardest instances for groups C, D, NRE, NRF, BRG, and NRH.
| Hardest instances | Transfer functions | Discretization methods | ID | Optimum values | Standard | Complement | Static probability | Elitist |
| B.5 | 72 | | 75 | 75 | 73 | 74 | | 73 | 74 | 75 | 72 | | 75 | 74 | 74 | 73 | | 75 | 73 | 72 | 74 | | 73 | 73 | 74 | 75 | | 74 | 72 | 72 | 74 | | 74 | 74 | 72 | 75 | | 75 | 74 | 72 | 75 |
| C.5 | 215 | | 217 | 215 | 216 | 216 | | 217 | 217 | 218 | 218 | | 216 | 216 | 218 | 217 | | 215 | 218 | 217 | 217 | | 216 | 216 | 218 | 217 | | 215 | 216 | 217 | 216 | | 216 | 217 | 215 | 216 | | 216 | 218 | 215 | 217 |
| D.5 | 61 | | 61 | 61 | 61 | 63 | | 62 | 61 | 63 | 64 | | 64 | 63 | 64 | 63 | | 64 | 61 | 63 | 62 | | 61 | 61 | 61 | 64 | | 63 | 62 | 64 | 64 | | 61 | 63 | 62 | 62 | | 62 | 63 | 62 | 62 |
| NRE.5 | 28 | | 30 | 29 | 31 | 30 | | 29 | 31 | 28 | 31 | | 31 | 28 | 30 | 28 | | 28 | 31 | 28 | 28 | | 30 | 31 | 31 | 29 | | 29 | 29 | 29 | 28 | | 29 | 30 | 28 | 28 | | 31 | 30 | 30 | 28 |
| NRF.5 | 13 | | 14 | 15 | 15 | 14 | | 15 | 16 | 14 | 14 | | 16 | 13 | 14 | 15 | | 14 | 16 | 14 | 15 | | 16 | 14 | 16 | 16 | | 15 | 16 | 15 | 14 | | 13 | 16 | 14 | 14 | | 13 | 14 | 15 | 13 |
| NRG.5 | 168 | | 170 | 171 | 169 | 171 | | 170 | 171 | 171 | 171 | | 169 | 168 | 168 | 169 | | 170 | 171 | 171 | 169 | | 168 | 169 | 171 | 169 | | 170 | 169 | 170 | 171 | | 170 | 171 | 171 | 168 | | 171 | 169 | 170 | 169 |
| NRH.5 | 55 | | 58 | 57 | 58 | 56 | | 56 | 58 | 58 | 55 | | 58 | 56 | 57 | 57 | | 57 | 57 | 55 | 57 | | 58 | 57 | 58 | 55 | | 55 | 55 | 56 | 57 | | 55 | 58 | 56 | 58 | | 56 | 56 | 56 | 56 |
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