Table 13.
z-test for BPP. “+” indicates that EA is better. “−” depicts that it is worse. “∗” indicates that the difference between the two algorithms is not significant (at 95% confidence level).
| BPP | EA1 versus GA1 | EA1 versus GA2 | ||||
|---|---|---|---|---|---|---|
| Instance | Results | Convergence | Time | Results | Convergence | Time |
| N2C1W1_A | + (2.14) | ∗ (0.32) | + (19.37) | + (4.28) | ∗ (0.90) | + (13.41) |
| N2C1W1_B | + (8.21) | − (−3.67) | + (23.68) | + (8.24) | + (2.06) | + (22.13) |
| N3C2W2_A | + (4.27) | ∗ (0.92) | + (37.85) | + (5.92) | + (2.45) | + (17.54) |
| N3C2W2_B | + (3.35) | ∗ (1.82) | + (24.44) | + (5.95) | ∗ (1.26) | + (11.53) |
| N3C3W1_A | + (4.11) | ∗ (−1.66) | + (23.67) | + (2.34) | ∗ (−0.98) | + (13.56) |
| N3C3W1_B | + (6.66) | ∗ (−0.58) | + (26.71) | + (3.72) | ∗ (0.63) | + (11.74) |
| N4C1W1_A | + (10.81) | + (2.16) | + (18.07) | + (4.80) | + (1.97) | + (20.86) |
| N4C1W1_B | + (8.37) | ∗ (1.26) | + (15.89) | + (8.13) | ∗ (1.31) | + (17.93) |
| N4C1W1_C | + (9.95) | ∗ (−1.13) | + (18.83) | + (7.20) | ∗ (−0.19) | + (19.44) |
| N4C2W1_A | + (6.52) | − (−2.62) | + (19.18) | + (5.49) | ∗ (−1.03) | + (19.43) |
|
| ||||||
| Instance | EA2 versus GA3 | EA2 versus GA4 | ||||
|
| ||||||
| N2C1W1_A | + (2.61) | + (2.27) | + (25.32) | + (4.24) | ∗ (1.16) | + (15.81) |
| N2C1W1_B | + (9.05) | ∗ (−1.28) | + (14.09) | + (8.43) | ∗ (−0.33) | + (22.13) |
| N3C2W2_A | + (2.13) | − (−2.74) | + (32.21) | + (5.33) | ∗ (0.54) | + (16.65) |
| N3C2W2_B | + (2.35) | ∗ (0.95) | + (19.00) | + (3.62) | − (−2.08) | + (11.23) |
| N3C3W1_A | + (7.27) | ∗ (0.59) | + (21.57) | + (2.71) | + (2.98) | + (16.76) |
| N3C3W1_B | + (6.95) | − (−2.37) | + (33.39) | + (2.85) | ∗ (−0.31) | + (9.46) |
| N4C1W1_A | + (6.50) | ∗ (0.22) | + (21.12) | + (2.24) | ∗ (0.15) | + (19.10) |
| N4C1W1_B | + (8.06) | ∗ (−0.36) | + (13.92) | + (10.77) | ∗ (0.78) | + (14.67) |
| N4C1W1_C | + (10.80) | ∗ (0.62) | + (19.37) | + (10.21) | ∗ (0.32) | + (20.00) |
| N4C2W1_A | + (4.34) | − (−2.78) | + (17.43) | + (5.23) | − (−1.97) | + (14.77) |
|
| ||||||
| Instance | EA3 versus GA5 | EA3 versus GA6 | ||||
|
| ||||||
| N2C1W1_A | ∗ (1.41) | ∗ (−1.74) | + (30.45) | ∗ (0.00) | − (−2.79) | + (11.15) |
| N2C1W1_B | + (7.14) | − (−2.07) | + (17.02) | + (5.00) | − (−3.27) | + (19.20) |
| N3C2W2_A | ∗ (1.36) | ∗ (−1.54) | + (17.15) | + (4.37) | ∗ (−0.73) | + (17.76) |
| N3C2W2_B | + (2.39) | + (2.88) | + (18.89) | + (2.32) | + (2.03) | + (14.21) |
| N3C3W1_A | + (7.14) | − (−2.85) | + (20.28) | ∗ (0.00) | − (3.58) | + (14.91) |
| N3C3W1_B | + (10.87) | + (2.55) | + (24.68) | ∗ (1.75) | ∗ (1.94) | + (13.58) |
| N4C1W1_A | + (9.61) | ∗ (1.70) | + (19.34) | + (5.22) | + (2.06) | + (21.61) |
| N4C1W1_B | + (5.02) | ∗ (0.88) | + (17.82) | + (4.04) | ∗ (1.27) | + (16.54) |
| N4C1W1_C | + (9.53) | − (−2.28) | + (18.60) | + (6.43) | − (−3.01) | + (21.04) |
| N4C2W1_A | ∗ (1.43) | − (−2.50) | + (16.12) | + (5.65) | ∗ (1.21) | + (20.37) |