Research Article
Optimal Synthesis of Four-Bar Linkage Path Generation through Evolutionary Computation with a Novel Constraint Handling Technique
Table 6
Comparative results of Case
3 with a novel path repairing technique.
| Case 3: path generation without prescribed timing | Parameters | ABC | JADE | PBIL | TLBO | ACOR | GWO | SCA |
| | 80.0000 | 79.9162 | 69.0571 | 42.0053 | 66.5453 | 43.5326 | 80.0000 | | 8.1263 | 9.7027 | 10.0219 | 8.0876 | 10.6498 | 19.6630 | 5.1563 | | 80.0000 | 79.6300 | 80.0000 | 28.2660 | 65.3047 | 66.2180 | 64.8837 | | 51.8439 | 22.1050 | 66.3977 | 24.1099 | 62.9137 | 42.3820 | 61.7959 | | −19.3276 | 13.4224 | −6.0994 | −4.4860 | 6.0790 | 25.1410 | −40.4117 | | −11.0023 | −10.1904 | −27.8102 | −4.7935 | −6.9436 | −25.6124 | −80.0000 | | −1.2988 | 25.0942 | −13.1694 | 11.1765 | 2.5885 | −16.7352 | 25.4964 | | 29.1004 | 3.1796 | 26.4926 | 3.5870 | 7.9850 | 8.3961 | −80.0000 | | 53.9222 | 176.9942 | 12.1922 | 203.0714 | 0.0000 | 10.8144 | 162.9594 | | 349.6393 | 0.0377 | 8.8375 | 359.1656 | 52.8186 | 75.4675 | 47.9605 | | 35.6886 | 31.3880 | 45.3792 | 38.0948 | 76.7817 | 88.6364 | 77.3485 | | 77.1187 | 73.5207 | 79.6200 | 76.7126 | 111.7879 | 107.0112 | 78.7932 | | 115.8808 | 117.4221 | 91.7790 | 115.5382 | 139.0174 | 129.7889 | 102.9839 | | 153.8239 | 160.1615 | 140.7557 | 154.7689 | 168.2661 | 155.2651 | 132.9758 | | 193.8898 | 201.3488 | 196.8064 | 196.1914 | 196.3339 | 189.1377 | 158.4142 | | 234.8222 | 238.3213 | 225.1631 | 236.9290 | 236.0848 | 228.5280 | 178.2059 | | 275.8371 | 275.8487 | 272.5570 | 277.6224 | 269.5633 | 255.6323 | 216.7998 | | 311.5613 | 312.9753 | 298.1521 | 319.1629 | 298.2293 | 276.9471 | 227.5118 | | 348.9137 | 355.2115 | 360.0000 | 359.1397 | 322.3910 | 290.1490 | 239.6187 | Min | 1.1331 | 2.2551 | 41.9444 | 0.0192 | 156.6075 | 26.8977 | 306.5633 | Mean | 7.7983 | 9.2387 | 116.5084 | 2.5706 | 310.5264 | 70.7824 | 568.2001 | Max | 30.3123 | 25.7054 | 306.4299 | 28.5182 | 551.2737 | 234.2163 | 1144.216 | Std | 7.1036 | 4.9496 | 62.3238 | 6.4004 | 83.5219 | 43.5185 | 153.6016 | Error | 0.2925 | 0.4315 | 1.8480 | 0.0324 | 3.5846 | 1.4398 | 5.2041 | Success | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
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Success = number of successful runs.
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