Research Article
A Robust Two-Machine Flow-Shop Scheduling Model with Scenario-Dependent Processing Times
Table 2
The AEPs of 12 heuristics, Hi + PIs.
| | | | | H1 + PI | H2 + PI | H3 + PI | H4 + PI | H5 + PI | H6 + PI | H7 + PI | H8 + PI | H9 + PI | H10 + PI | H11 + PI | H12 + PI | FS | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP | AEP |
| 8 | 1.0 | 1.0 | 0.2 | 0.88 | 1.07 | 0.71 | 0.88 | 0.86 | 1.25 | 0.87 | 1.09 | 1.37 | 0.85 | 0.84 | 1.13 | 100 | | | 0.6 | 0.44 | 0.48 | 0.42 | 0.36 | 0.43 | 0.58 | 0.50 | 0.48 | 0.62 | 0.42 | 0.41 | 0.56 | 100 | | | 1.0 | 0.27 | 0.31 | 0.28 | 0.26 | 0.27 | 0.41 | 0.21 | 0.28 | 0.42 | 0.20 | 0.25 | 0.40 | 100 | 1.2 | 1.0 | 0.2 | 0.60 | 0.79 | 0.70 | 0.50 | 0.58 | 0.80 | 0.54 | 0.67 | 0.78 | 0.43 | 0.64 | 0.80 | 100 | | | 0.6 | 0.26 | 0.27 | 0.27 | 0.18 | 0.25 | 0.31 | 0.19 | 0.29 | 0.27 | 0.16 | 0.29 | 0.29 | 100 | | | 1.0 | 0.13 | 0.13 | 0.13 | 0.09 | 0.12 | 0.11 | 0.07 | 0.13 | 0.13 | 0.07 | 0.13 | 0.15 | 100 | 1.0 | 1.2 | 0.2 | 1.22 | 1.21 | 1.11 | 1.11 | 1.11 | 1.41 | 1.01 | 1.12 | 1.33 | 1.06 | 1.18 | 1.30 | 100 | | | 0.6 | 0.42 | 0.42 | 0.36 | 0.32 | 0.42 | 0.76 | 0.47 | 0.44 | 0.61 | 0.39 | 0.38 | 0.62 | 100 | | | 1.0 | 0.26 | 0.24 | 0.27 | 0.25 | 0.27 | 0.41 | 0.28 | 0.26 | 0.27 | 0.24 | 0.27 | 0.35 | 100 |
| 9 | 1.0 | 1.0 | 0.2 | 1.08 | 1.22 | 1.11 | 0.94 | 0.92 | 1.46 | 1.11 | 1.24 | 1.44 | 0.73 | 0.91 | 1.31 | 100 | | | 0.6 | 0.48 | 0.59 | 0.50 | 0.41 | 0.43 | 0.72 | 0.48 | 0.58 | 0.71 | 0.39 | 0.55 | 0.71 | 100 | | | 1.0 | 0.31 | 0.33 | 0.31 | 0.31 | 0.31 | 0.34 | 0.32 | 0.35 | 0.38 | 0.28 | 0.31 | 0.40 | 100 | 1.2 | 1.0 | 0.2 | 0.74 | 0.84 | 0.76 | 0.52 | 0.70 | 0.87 | 0.56 | 0.82 | 0.79 | 0.47 | 0.66 | 0.78 | 100 | | | 0.6 | 0.24 | 0.26 | 0.25 | 0.15 | 0.25 | 0.25 | 0.14 | 0.27 | 0.28 | 0.13 | 0.26 | 0.24 | 100 | | | 1.0 | 0.11 | 0.11 | 0.11 | 0.09 | 0.11 | 0.11 | 0.08 | 0.10 | 0.11 | 0.08 | 0.10 | 0.09 | 100 | 1.0 | 1.2 | 0.2 | 1.33 | 1.31 | 1.18 | 1.03 | 1.29 | 1.36 | 1.25 | 1.24 | 1.35 | 1.12 | 1.15 | 1.36 | 100 | | | 0.6 | 0.37 | 0.40 | 0.36 | 0.43 | 0.35 | 0.50 | 0.41 | 0.34 | 0.49 | 0.40 | 0.37 | 0.47 | 100 | | | 1.0 | 0.26 | 0.28 | 0.29 | 0.30 | 0.27 | 0.38 | 0.30 | 0.27 | 0.30 | 0.25 | 0.28 | 0.32 | 100 |
| 10 | 1.0 | 1.0 | 0.2 | 1.11 | 1.32 | 1.12 | 0.96 | 1.13 | 1.38 | 1.11 | 1.21 | 1.29 | 1.01 | 1.22 | 1.37 | 100 | | | 0.6 | 0.52 | 0.61 | 0.52 | 0.48 | 0.55 | 0.73 | 0.52 | 0.61 | 0.60 | 0.48 | 0.51 | 0.63 | 100 | | | 1.0 | 0.35 | 0.39 | 0.34 | 0.28 | 0.33 | 0.39 | 0.32 | 0.34 | 0.46 | 0.29 | 0.31 | 0.43 | 100 | 1.2 | 1.0 | 0.2 | 0.81 | 0.91 | 0.81 | 0.54 | 0.77 | 0.88 | 0.71 | 0.95 | 0.95 | 0.55 | 0.77 | 0.93 | 100 | | | 0.6 | 0.20 | 0.20 | 0.19 | 0.15 | 0.20 | 0.23 | 0.18 | 0.21 | 0.21 | 0.12 | 0.21 | 0.22 | 100 | | | 1.0 | 0.11 | 0.13 | 0.13 | 0.09 | 0.12 | 0.12 | 0.09 | 0.13 | 0.14 | 0.08 | 0.13 | 0.13 | 100 | 1.0 | 1.2 | 0.2 | 1.32 | 1.35 | 1.43 | 1.31 | 1.36 | 1.44 | 1.12 | 1.21 | 1.47 | 1.28 | 1.37 | 1.44 | 100 | | | 0.6 | 0.45 | 0.46 | 0.45 | 0.48 | 0.46 | 0.63 | 0.50 | 0.46 | 0.57 | 0.40 | 0.44 | 0.56 | 100 | | | 1.0 | 0.26 | 0.29 | 0.28 | 0.26 | 0.27 | 0.33 | 0.24 | 0.27 | 0.31 | 0.29 | 0.27 | 0.37 | 100 |
| 12 | 1.0 | 1.0 | 0.2 | 1.28 | 1.34 | 1.37 | 1.13 | 1.28 | 1.59 | 1.21 | 1.41 | 1.57 | 1.18 | 1.28 | 1.54 | 98 | | | 0.6 | 0.62 | 0.66 | 0.61 | 0.54 | 0.57 | 0.72 | 0.61 | 0.73 | 0.68 | 0.55 | 0.67 | 0.708 | 99 | | | 1.0 | 0.41 | 0.50 | 0.44 | 0.33 | 0.40 | 0.50 | 0.43 | 0.51 | 0.55 | 0.37 | 0.48 | 0.47 | 97 | 1.2 | 1.0 | 0.2 | 1.03 | 1.11 | 0.91 | 0.74 | 0.86 | 1.22 | 0.74 | 1.05 | 1.12 | 0.68 | 0.93 | 1.08 | 93 | | | 0.6 | 0.26 | 0.25 | 0.27 | 0.24 | 0.24 | 0.27 | 0.21 | 0.27 | 0.27 | 0.19 | 0.28 | 0.27 | 93 | | | 1.0 | 0.18 | 0.15 | 0.16 | 0.13 | 0.18 | 0.19 | 0.13 | 0.15 | 0.15 | 0.10 | 0.16 | 0.16 | 95 | 1.0 | 1.2 | 0.2 | 1.39 | 1.38 | 1.45 | 1.35 | 1.34 | 1.68 | 1.35 | 1.41 | 1.66 | 1.46 | 1.33 | 1.46 | 100 | | | 0.6 | 0.39 | 0.36 | 0.42 | 0.44 | 0.42 | 0.57 | 0.36 | 0.36 | 0.54 | 0.44 | 0.40 | 0.60 | 98 | | | 1.0 | 0.25 | 0.23 | 0.24 | 0.24 | 0.24 | 0.30 | 0.23 | 0.23 | 0.31 | 0.28 | 0.25 | 0.32 | 100 | | | Mean | 0.57 | 0.61 | 0.56 | 0.49 | 0.55 | 0.70 | 0.52 | 0.60 | 0.68 | 0.49 | 0.56 | 0.66 | 99.25 |
|
|