Research Article
Novel Methods Generated by Genetic Programming for the Guillotine-Cutting Problem
Table 2
Best algorithm of each of the 30 runs.
| Algorithm | Avg. fitness (%) | Avg. error (%) | Best error (%) | Worst error (%) | SD (%) | No. of hits | No. of nodes | Tree height | Time (s) |
| A1 | 6.52 | 7.40 | 0.00 | 15.22 | 5.17 | 1 | 13 | 4 | 553.00 | A2 | 4.69 | 5.33 | 1.36 | 20.75 | 5.42 | 0 | 13 | 4 | 560.82 | A3 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 3 | 592.03 | A4 | 4.38 | 4.96 | 2.02 | 18.29 | 4.51 | 0 | 13 | 3 | 532.11 | A5 | 5.18 | 5.89 | 0.86 | 10.57 | 3.67 | 0 | 13 | 5 | 491.15 | A6 | 5.85 | 6.66 | 1.36 | 12.93 | 3.73 | 0 | 13 | 3 | 595.45 | A7 | 4.28 | 4.85 | 1.36 | 10.74 | 2.91 | 0 | 13 | 4 | 564.03 | A8 | 5.85 | 6.66 | 1.36 | 12.93 | 3.73 | 0 | 13 | 4 | 599.26 | A9 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 4 | 603.54 | A10 | 4.63 | 5.26 | 0.00 | 11.64 | 3.79 | 1 | 13 | 4 | 600.85 | A11 | 5.19 | 5.91 | 1.36 | 14.96 | 3.65 | 0 | 13 | 3 | 511.67 | A12 | 3.49 | 3.96 | 0.00 | 9.83 | 2.63 | 1 | 13 | 3 | 556.78 | A13 | 4.50 | 5.14 | 0.00 | 13.87 | 3.98 | 1 | 13 | 4 | 659.11 | A14 | 3.92 | 4.45 | 0.75 | 10.23 | 3.09 | 0 | 13 | 4 | 597.02 | A15 | 5.63 | 6.41 | 1.31 | 20.75 | 6.47 | 0 | 13 | 6 | 596.93 | A16 | 4.64 | 5.28 | 0.75 | 13.17 | 3.40 | 0 | 13 | 4 | 518.51 | A17 | 6.15 | 6.98 | 0.86 | 17.77 | 5.19 | 0 | 13 | 3 | 607.99 | A18 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 3 | 607.98 | A19 | 6.34 | 7.20 | 0.00 | 14.82 | 4.62 | 1 | 13 | 4 | 591.04 | A20 | 5.03 | 5.70 | 0.00 | 12.52 | 4.02 | 1 | 13 | 5 | 618.95 | A21 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 4 | 596.01 | A22 | 5.59 | 6.37 | 1.36 | 13.14 | 4.16 | 0 | 13 | 5 | 592.75 | A23 | 5.09 | 5.81 | 0.00 | 17.95 | 4.85 | 1 | 13 | 4 | 598.61 | A24 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 4 | 580.30 | A25 | 4.23 | 4.80 | 0.00 | 14.48 | 4.26 | 1 | 13 | 5 | 648.99 | A26 | 5.15 | 5.86 | 0.00 | 17.95 | 4.62 | 1 | 13 | 4 | 516.53 | A27 | 5.84 | 6.63 | 0.00 | 14.37 | 4.36 | 1 | 13 | 4 | 602.66 | A28 | 4.38 | 4.96 | 2.02 | 18.29 | 4.51 | 0 | 13 | 4 | 587.45 | A29 | 4.69 | 5.33 | 1.36 | 20.75 | 5.42 | 0 | 13 | 5 | 549.60 | A30 | 6.25 | 7.11 | 0.00 | 15.81 | 4.82 | 1 | 13 | 4 | 573.66 | Average | 5.22 | 5.93 | 0.60 | 14.85 | 4.29 | 0.5 | 13 | 4 | 580.16 |
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