Research Article
An Efficient Hybrid Algorithm for Multiobjective Optimization Problems with Upper and Lower Bounds in Engineering
Table 2
The results of 100 pieces of design advice for reference.
| | 序号 | | /mm | /J | /kN | /kg | | | | | | |
| | 1 | 0.01 | 0.99 | 3.0000 | 1.0000 | 1.0000 | 1.0000 | 2699.0 | 40.0865 | 2.4183 | | 2 | 0.02 | 0.98 | 3.0000 | 1.0000 | 1.0000 | 1.0000 | 2699.0 | 40.0865 | 2.4183 | | 3 | 0.03 | 0.97 | 3.0000 | 1.0000 | 1.0000 | 1.0000 | 2699.0 | 40.0865 | 2.4183 | | 4 | 0.04 | 0.96 | 3.0000 | 1.0000 | 1.0000 | 1.0362 | 2737.0 | 40.1824 | 2.4250 | | 5 | 0.05 | 0.95 | 3.0000 | 1.0000 | 1.0000 | 1.0937 | 2797.5 | 40.3628 | 2.4357 | | 6 | 0.06 | 0.94 | 3.0000 | 1.0000 | 1.0000 | 1.1486 | 2855.4 | 40.5669 | 2.4458 | | 7 | 0.07 | 0.93 | 3.0000 | 1.0000 | 1.0000 | 1.2011 | 2910.9 | 40.7920 | 2.4556 | | 8 | 0.08 | 0.92 | 3.0000 | 1.0000 | 1.0000 | 1.2518 | 2964.5 | 41.0361 | 2.4650 | | 9 | 0.09 | 0.91 | 3.0000 | 1.0000 | 1.0000 | 1.3007 | 3016.4 | 41.2977 | 2.4741 | | 10 | 0.10 | 0.90 | 3.0000 | 1.0000 | 1.0000 | 1.3483 | 3066.9 | 41.5755 | 2.4829 | | | | | | | | | | | | 40 | 0.40 | 0.60 | 3.0000 | 2.0071 | 1.0123 | 1.4285 | 4692.9 | 59.2051 | 3.0899 | | 41 | 0.41 | 0.59 | 3.0000 | 2.0575 | 1.0298 | 1.3985 | 4753.4 | 60.1006 | 3.1171 | | 42 | 0.42 | 0.58 | 3.0000 | 2.1092 | 1.0480 | 1.3664 | 4814.7 | 61.0222 | 3.1447 | | 43 | 0.43 | 0.57 | 3.0000 | 2.1621 | 1.0668 | 1.3323 | 4876.9 | 61.9718 | 3.1728 | | 44 | 0.44 | 0.56 | 3.0000 | 2.2164 | 1.0862 | 1.2958 | 4940.1 | 62.9514 | 3.2014 | | 45 | 0.45 | 0.55 | 3.0000 | 2.2720 | 1.1064 | 1.2570 | 5004.4 | 63.9635 | 3.2305 | | 46 | 0.46 | 0.54 | 3.0000 | 2.3291 | 1.1274 | 1.2158 | 5070.0 | 65.0103 | 3.2601 | | 47 | 0.47 | 0.53 | 3.0000 | 2.3877 | 1.1492 | 1.1719 | 5137.0 | 66.0947 | 3.2903 | | 48 | 0.48 | 0.52 | 3.0000 | 2.4478 | 1.1718 | 1.1252 | 5205.5 | 67.2194 | 3.3210 | | 49 | 0.49 | 0.51 | 3.0000 | 2.5095 | 1.1952 | 1.0758 | 5275.7 | 68.3873 | 3.3522 | | 50 | 0.50 | 0.50 | 3.0000 | 2.5729 | 1.2195 | 1.0235 | 5347.7 | 69.6017 | 3.3841 | | 51 | 0.51 | 0.49 | 3.0000 | 2.6194 | 1.2400 | 1.0000 | 5414.4 | 70.7405 | 3.4107 | | 52 | 0.52 | 0.48 | 3.0000 | 2.6526 | 1.2574 | 1.0000 | 5476.5 | 71.8186 | 3.4333 | | 53 | 0.53 | 0.47 | 3.0000 | 2.6862 | 1.2751 | 1.0000 | 5539.2 | 72.9277 | 3.4562 | | 54 | 0.54 | 0.46 | 3.0000 | 2.7202 | 1.2932 | 1.0000 | 5602.7 | 74.0695 | 3.4794 | | 55 | 0.55 | 0.45 | 3.0000 | 2.7547 | 1.3117 | 1.0000 | 5667.0 | 75.2463 | 3.5030 | | | | | | | | | | | | 85 | 0.85 | 0.15 | 3.0000 | 3.0000 | 3.0000 | 1.0000 | 7395.8 | 121.5131 | 3.9545 | | 86 | 0.86 | 0.14 | 3.0000 | 3.0000 | 3.0000 | 1.0005 | 7396.0 | 121.5209 | 3.9546 | | 87 | 0.87 | 0.13 | 3.0000 | 3.0000 | 3.0000 | 1.1523 | 7442.5 | 124.1540 | 3.9827 | | 88 | 0.88 | 0.12 | 3.0000 | 3.0000 | 3.0000 | 1.3319 | 7498.7 | 127.5789 | 4.0160 | | 89 | 0.89 | 0.11 | 3.0000 | 3.0000 | 3.0000 | 1.5455 | 7567.1 | 132.0896 | 4.0556 | | 90 | 0.90 | 0.10 | 3.0000 | 3.0000 | 3.0000 | 1.8029 | 7651.9 | 138.1593 | 4.1034 | | 91 | 0.91 | 0.09 | 3.0000 | 3.0000 | 3.0000 | 2.1180 | 7759.1 | 146.5312 | 4.1618 | | 92 | 0.92 | 0.08 | 3.0000 | 3.0000 | 3.0000 | 2.5106 | 7898.0 | 158.4110 | 4.2346 | | 93 | 0.93 | 0.07 | 3.0000 | 3.0000 | 3.0000 | 2.9999 | 8079.3 | 175.4670 | 4.3253 | | 94 | 0.94 | 0.06 | 3.0000 | 3.0000 | 3.0000 | 3.0000 | 8079.4 | 175.4708 | 4.3253 | | | | | | | | | | |
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