Research Article
An Enhanced Grasshopper Optimization Algorithm to the Bin Packing Problem
Table 3
Results for unimodal functions.
| Function | Type | EGOA | GOA | DA | ALO | PSO | OBLGOA |
| F1 | avg | 9.0534E − 14 | 0.9730 | 37.2776 | 0.0014 | 3.1013E − 05 | 3.2306E − 05 | std | 3.7011E − 14 | 0.8698 | 81.6186 | 0.0011 | 7.9301E − 05 | 2.3431E − 05 | best | 1.9846E − 14 | 0.0172 | 3.5526 | 0.0002 | 2.9928E − 07 | 5.2292E − 06 | worst | 1.8459E − 13 | 3.8065 | 450.1749 | 0.0048 | 0.0004 | 1.0108E − 04 |
| F2 | avg | 1.2287E − 07 | 18.0367 | 4.4112 | 30.2392 | 0.0776 | 0.0146 | std | 2.7105E − 08 | 36.4320 | 2.3929 | 37.3048 | 0.1459 | 0.0390 | best | 7.2962E − 08 | 0.0306 | 1.3295 | 1.1430 | 0.0003 | 0.0013 | worst | 2.0402E − 07 | 118.1239 | 10.9685 | 114.7681 | 0.6804 | 0.1775 |
| F3 | avg | 0.0028 | 1413.8190 | 1128.2543 | 4431.5768 | 228.0791 | 0.0054 | std | 0.0036 | 628.5017 | 1139.0449 | 1821.2736 | 173.7777 | 0.0018 | best | 8.5499E − 13 | 475.2364 | 214.3597 | 2059.2765 | 63.3951 | 0.0019 | worst | 0.0121 | 2784.6786 | 6174.2426 | 9027.3843 | 732.1625 | 0.0087 |
| F4 | avg | 1.4732E − 07 | 8.6396 | 30.4830 | 19.6348 | 3.7143 | 0.0122 | std | 5.2777E − 08 | 2.9120 | 7.9770 | 4.8814 | 1.6919 | 0.0084 | best | 6.4635E − 08 | 5.0805 | 16.6437 | 11.1498 | 1.6923 | 0.0024 | worst | 2.6566E − 07 | 16.9399 | 52.9255 | 30.7645 | 7.5366 | 0.0304 |
| F5 | avg | 27.9972 | 932.4950 | 4273.4106 | 347.3018 | 168.3237 | 28.4168 | std | 0.6484 | 1473.4525 | 16369.5087 | 439.0214 | 543.5966 | 0.2120 | best | 26.2374 | 28.0057 | 91.6157 | 28.5465 | 12.5981 | 27.9057 | worst | 29.0806 | 6233.7871 | 90522.6022 | 1608.0766 | 3038.7872 | 28.7632 |
| F6 | avg | 0.0476 | 0.8813 | 45.0163 | 0.0019 | 8.9790E − 05 | 1.5503 | std | 0.0389 | 1.0279 | 124.4759 | 0.0018 | 0.0003 | 0.4663 | best | 0.0061 | 0.0048 | 2.5149 | 0.0002 | 2.2448E − 07 | 0.7925 | worst | 0.1730 | 4.4407 | 670.9717 | 0.0070 | 0.0018 | 2.7873 |
| F7 | avg | 0.0131 | 0.0277 | 0.1641 | 0.2639 | 0.0330 | 0.0014 | std | 0.0061 | 0.0106 | 0.0870 | 0.0707 | 0.0146 | 0.0006 | best | 0.0047 | 0.0101 | 0.0441 | 0.1493 | 0.0135 | 0.0004 | worst | 0.0264 | 0.0605 | 0.3609 | 0.4763 | 0.0819 | 0.0028 |
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