Research Article
Focusing on the Golden Ball Metaheuristic: An Extended Study on a Wider Set of Problems
Table 8
Normal distribution
-test.
| | Instance |
Versus GA1 |
Versus GA2 |
Versus DGA1 |
Versus DGA2 |
| | br17 |
+(3.16) |
+(3.16) |
*(0.00) |
*(0.00) | | ftv33 |
+(5.97) |
+(14.88) |
+(6.76) |
+(5.74) | | ftv35 |
+(7.67) |
+(6.35) |
+(7.68) |
+(8.79) | | ftv38 |
+(7.48) |
+(5.40) |
+(7.86) |
+(9.03) | | p43 |
+(8.07) |
+(10.26) |
+(8.85) |
+(7.60) | | ftv44 |
+(5.67) |
+(15.48) |
+(6.27) |
+(7.61) | | ftv47 |
+(6.10) |
+(5.93) |
+(6.67) |
+(7.84) | | ry48p |
+(6.46) |
+(7.45) |
+(6.45) |
+(8.61) | | ft53 |
+(11.70) |
+(19.65) |
+(12.45) |
+(13.53) | | ftv55 |
+(6.77) |
+(8.18) |
+(10.57) |
+(12.19) | | ftv64 |
+(7.12) |
+(26.02) |
+(8.77) |
+(11.13) | | ftv70 |
+(6.10) |
+(21.97) |
+(9.89) |
+(13.83) | | ft70 |
+(2.28) |
+(25.62) |
+(4.88) |
+(6.65) | | kro124p |
+(9.80) |
+(14.48) |
+(12.17) |
+(8.89) | | ftv170 |
+(3.64) |
+(3.16) |
+(4.69) |
+(4.79) | | rbg323 |
+(7.97) |
+(7.56) |
+(6.98) |
+(3.85) | | rbg358 |
+(35.52) |
+(35.54) |
+(12.54) |
+(11.73) | | rbg403 |
+(18.11) |
+(13.14) |
+(11.56) |
+(11.43) | | rbg443 |
+(10.76) |
+(10.05) |
+(10.96) |
+(10.84) |
| | C101 |
+(3.80) |
+(3.46) |
+(6.54) |
+(2.62) | | C201 |
+(9.75) |
+(13.49) |
+(13.93) |
+(3.08) | | R101 |
+(7.46) |
+(5.79) |
+(7.96) |
*(0.89) | | R201 |
+(21.16) |
+(8.18) |
+(11.39) |
+(5.29) | | RC101 |
+(10.32) |
+(7.96) |
+(5.74) |
+(5.83) | | RC201 |
+(10.16) |
+(6.26) |
+(14.93) |
*(1.45) | | En23k3 |
+(9.16) |
+(8.94) |
+(9.18) |
*(1.32) | | En30k4 |
+(18.97) |
+(17.84) |
+(9.77) |
+(7.44) | | En33k4 |
+(8.98) |
+(6.48) |
+(7.53) |
+(6.29) | | En51k5 |
+(9.70) |
+(10.49) |
+(14.61) |
+(2.38) | | En76k8 |
+(10.57) |
+(8.96) |
+(7.06) |
+(5.44) | | En101k14 |
+(13.24) |
+(7.93) |
+(18.47) |
+(10.24) |
| | 8-queen |
*(0.00) |
*(0.00) |
*(0.00) |
*(0.00) | | 20-queen |
+(13.00) |
*(0.00) |
+(7.91) |
+(6.08) | | 50-queen |
+(19.71) |
+(17.16) |
+(28.74) |
+(16.99) | | 75-queen |
+(31.37) |
+(15.71) |
+(33.25) |
+(22.16) | | 100-queen |
+(37.42) |
+(23.04) |
+(34.32) |
+(22.37) | | 125-queen |
+(31.57) |
+(31.97) |
+(39.71) |
+(36.39) | | 150-queen |
+(29.69) |
+(30.04) |
+(33.13) |
+(46.36) | | 200-queen |
+(33.09) |
+(33.66) |
+(36.14) |
+(34.96) | | 225-queen |
+(33.05) |
+(58.64) |
+(55.42) |
+(34.05) | | 250-queen |
+(61.21) |
+(26.80) |
+(43.06) |
+(51.66) | | 275-queen |
+(24.21) |
+(37.31) |
+(30.14) |
+(37.75) | | 300-queen |
+(60.37) |
+(40.71) |
+(45.51) |
+(37.27) | | 325-queen |
+(60.93) |
+(39.41) |
+(72.50) |
+(58.97) | | 350-queen |
+(66.00) |
+(52.06) |
+(59.30) |
+(43.39) | | 400-queen |
+(34.01) |
+(31.60) |
+(41.51) |
+(41.40) |
| | N1C1W1_A |
+(6.32) |
+(11.06) |
+(10.11) |
+(8.85) | | N1C1W1_B |
+(14.23) |
+(6.32) |
+(6.32) |
+(6.32) | | N1C2W1_A |
+(9.39) |
+(9.39) |
+(9.89) |
+(12.72) | | N1C2W1_B |
+(17.61) |
+(14.14) |
+(9.89) |
+(8.22) | | N2C1W1_A |
+(19.79) |
+(13.19) |
+(17.91) |
+(9.96) | | N2C1W1_B |
+(9.71) |
+(10.72) |
+(12.73) |
+(11.33) | | N2C2W1_A |
+(7.00) |
+(17.61) |
+(18.00) |
+(14.00) | | N2C2W1_B |
+(8.09) |
+(12.49) |
+(16.19) |
+(14.57) | | N3C2W2_A |
+(28.59) |
+(15.64) |
+(20.95) |
+(14.48) | | N3C2W2_B |
+(40.08) |
+(19.89) |
+(19.29) |
+(16.90) | | N3C3W1_A |
+(32.34) |
+(9.55) |
+(14.74) |
+(8.04) | | N3C3W1_B |
+(20.57) |
+(7.98) |
+(14.14) |
+(8.48) | | N4C1W1_A |
+(24.07) |
+(12.23) |
+(21.45) |
+(17.64) | | N4C2W1_A |
+(24.98) |
+(2.48) |
+(27.58) |
+(15.01) | | N4C2W1_B |
+(17.97) |
*(1.27) |
+(26.22) |
+(21.00) | | N4C2W1_C |
+(18.90) |
+(4.70) |
+(16.79) |
+(9.16) |
|
|
GB is significantly better. āIt is worse. *The difference is not significant (at 95% confidence level).
|
