Research Article
Application of the Artificial Bee Colony Algorithm for Solving the Set Covering Problem
Table 5
Experimental results—instances with best known solution.
| Instance | Optimum | Best value found | ABC Avg. | GA Avg. | SA Avg. | ANT-LS Avg. | RPD (%) |
| NRE.1 | 29 | 29 | 29 | 29 | 29 | 29 | 0 | NRE.2 | 30 | 30 | 30 | 30.6 | 30 | 30 | 0 | NRE.3 | 27 | 27 | 27 | 27.7 | 27 | 27 | 0 | NRE.4 | 28 | 28 | 28 | 28 | 28 | 28 | 0 | NRE.5 | 28 | 28 | 28 | 28 | 28 | 28 | 0 | NRF.1 | 14 | 14 | 14 | 14 | 14 | 14 | 0 | NRF.2 | 15 | 15 | 15 | 15 | 15 | 15 | 0 | NRF.3 | 14 | 14 | 14 | 14 | 14 | 14 | 0 | NRF.4 | 14 | 14 | 14 | 14 | 14 | 14 | 0 | NRF.5 | 13 | 13 | 13 | 13.7 | 13.7 | 13.5 | 0 | NRG.1 | 176 | 176 | 176 | 177.7 | 176.6 | 176 | 0 | NRG.2 | 154 | 154 | 154 | 156.3 | 155.3 | 155.1 | 0 | NRG.3 | 166 | 166 | 166 | 167.9 | 167.6 | 167.3 | 0 | NRG.4 | 168 | 168 | 168 | 170.3 | 170.7 | 168.9 | 0 | NRG.5 | 168 | 168 | 168 | 169.4 | 168.4 | 168.1 | 0 | NRH.1 | 63 | 63 | 63 | 64 | 64 | 64 | 0 | NRH.2 | 63 | 63 | 63 | 64 | 63.7 | 67.9 | 0 | NRH.3 | 59 | 59 | 59 | 59.1 | 59.4 | 59.4 | 0 | NRH.4 | 58 | 58 | 58 | 58.9 | 58.9 | 58.7 | 0 | NRH.5 | 55 | 55 | 55 | 55.1 | 55 | 55 | 0 |
|
|