Corrigendum
Corrigendum to “Improved Combinatorial Benders Decomposition for a Scheduling Problem with Unrelated Parallel Machines”
Table 4
Comparison of T&B and ICBD relative to traditional and proposed convergence acceleration elements.
| | | T&B | ICBD | # iter | # cut | # ta | # ws iter | # iter | # ws cut | # cut | ws time | Normal time |
| 20 | 2 | 3.73 | 7.47 | 0.30 | 4.27 | 1.47 | 12.93 | 4.13 | 0.74 | 0.33 | 3 | 4.53 | 13.60 | 0.60 | 5.20 | 1.40 | 24.10 | 5.60 | 1.13 | 0.75 | 4 | 5.17 | 20.67 | 0.53 | 5.00 | 1.30 | 36.40 | 6.53 | 2.33 | 1.93 | 5 | 5.37 | 26.83 | 0.47 | 4.80 | 1.13 | 44.67 | 6.33 | 5.22 | 6.44 |
| 30 | 2 | 5.40 | 10.80 | 0.53 | 5.17 | 2.07 | 15.47 | 6.53 | 1.89 | 1.18 | 3 | 9.77 | 29.30 | 1.33 | 6.63 | 1.80 | 40.60 | 8.40 | 4.71 | 6.28 | 4 | 9.77 | 39.07 | 1.57 | 6.43 | 1.63 | 60.40 | 10.40 | 23.96 | 59.3 | 5 | 7.93 | 39.67 | 0.90 | 5.67 | 1.23 | 62.17 | 7.50 | 50.54 | 35.07 |
| 40 | 2 | 4.73 | 9.47 | 0.47 | 4.77 | 2.00 | 14.87 | 6.87 | 3.09 | 1.84 | 3 | 8.50 | 25.50 | 1.63 | 6.47 | 1.43 | 39.50 | 5.70 | 8.34 | 7.75 | 4 | 12.23 | 48.93 | 1.77 | 7.87 | 1.33 | 76.13 | 7.20 | 65.99 | 45.53 | 5 | 9.17 | 45.83 | 1.97 | 6.97 | 1.47 | 89.83 | 10.50 | 374.79 | 369.05 |
| 50 | 2 | 5.07 | 10.13 | 0.90 | 5.17 | 2.30 | 16.67 | 7.53 | 6.56 | 3.4 | 3 | 14.27 | 42.80 | 3.73 | 7.30 | 3.90 | 48.10 | 22.50 | 20.61 | 83.28 | 4 | 13.10 | 52.40 | 2.90 | 8.93 | 2.00 | 92.40 | 12.13 | 345.19 | 303.00 | 5 | 11.43 | 57.17 | 3.57 | 8.47 | 1.57 | 130.50 | 14.50 | 1083.98 | 947.89 |
| 60 | 2 | 7.70 | 15.40 | 1.53 | 5.80 | 2.70 | 20.20 | 10.40 | 11.34 | 8.39 | 3 | 16.97 | 50.90 | 4.60 | 9.03 | 3.57 | 69.00 | 23.50 | 58.43 | 188.97 | 4 | 14.03 | 56.13 | 4.53 | 10.40 | 1.73 | 114.67 | 12.40 | 485.55 | 443.66 | 5 | 9.17 | 45.83 | 4.00 | 8.30 | 1.33 | 126.67 | 12.67 | 1309.28 | 1179.53 |
| Average | 8.90 | 32.40 | 1.89 | 6.63 | 1.87 | 56.76 | 10.07 | 193.18 | 184.68 |
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