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