Research Article
An Adaptive Shrinking Grid Search Chaotic Wolf Optimization Algorithm Using Standard Deviation Updating Amount
Table 5
Results of supplementary experiments.
| Order | Function | Algorithm | Optimal value | Worst value | Average value | Standard deviation | Average iteration | Average time |
| 1 | CEC’14-F1 | GA | 104.9799 | 30721.11 | 7855.763 | 81199210 | 576.0667 | 5.9246 | PSO | 100 | 7167.217 | 966.9491 | 2364293.9 | 600 | 0.18536 | LWPS | 104.035 | 2219.115 | 650.7181 | 276101.7 | 600 | 8.7827 | CWOA | 100.4238 | 806.3862 | 303.46 | 48999.1796 | 600 | 9.0239 | ASGS-CWOA | 100 | 100 | 100 | 0 | 17.06 | 0.75354 |
| 2 | CEC’14-F2 | GA | 201.6655 | 5624.136 | 1511.7 | 2202859.8 | 535.9 | 5.5281 | PSO | 200.0028 | 5541.629 | 1877.3888 | 2559554.7 | 600 | 0.1806 | LWPS | 208.964 | 2723.770 | 769.9574 | 475101.54 | 600 | 9.2476 | CWOA | 200.0115 | 1815.693 | 489.5193 | 169111.57 | 600 | 8.6269 | ASGS-CWOA | 200 | 200 | 200 | 0 | 15.78 | 0.70151 |
| 3 | CEC’14-F3 | GA | 316.1717 | 17077.5349 | 4508.479 | 23875975 | 533.3 | 5.7871 | PSO | 300.0007 | 2391.641 | 446.9141 | 101563.53 | 600 | 0.18159 | LWPS | 300.3407 | 5796.796 | 889.49 | 1104949.7 | 600 | 9.2331 | CWOA | 300.1111 | 2196.991 | 734.5405 | 232245.81 | 600 | 8.5499 | ASGS-CWOA | 300 | 300 | 300 | 0 | 17.62 | 0.72644 |
| 4 | CEC’14-F4 | GA | 400 | 400.0911 | 400.0109 | 0.0005323 | 86.7333 | 0.924 | PSO | 400 | 400 | 400 | 3.23E − 29 | 600 | 0.17534 | LWPS | 400 | 400 | 400 | 5.90E − 17 | 600 | 8.7697 | CWOA | 400 | 400 | 400 | 0 | 308.7 | 3.9497 | ASGS-CWOA | 400 | 400 | 400 | 0 | 12.96 | 0.53133 |
| 5 | CEC’14-F5 | GA | 500 | 520 | 507.3432 | 50.5077 | 71.4333 | 0.76291 | PSO | 500 | 515.2678 | 500.9217 | 6.7366 | 600 | 0.18704 | LWPS | 500 | 500.0006 | 500.0001 | 1.49E − 08 | 600 | 8.8697 | CWOA | 500 | 500 | 500 | 1.34E − 22 | 600 | 8.5232 | ASGS-CWOA | 501.7851 | 520 | 514.18 | 28.5606 | 600 | 29.8243 |
| 6 | CEC’14-F6 | GA | 600.0001 | 600.9784 | 600.302 | 0.10694 | 67.9 | 0.86812 | PSO | 600 | 600 | 600 | 2.86E − 11 | 600 | 1.3431 | LWPS | 600.0001 | 600.4594 | 600.0245 | 0.0087421 | 600 | 19.5858 | CWOA | 600 | 600 | 600 | 2.32E − 25 | 599.5667 | 19.1092 | ASGS-CWOA | 600 | 600 | 600 | 0 | 45.16 | 17.5578 |
| 7 | CEC’14-F7 | GA | 700 | 701.4272 | 700.3767 | 0.19181 | 61.4333 | 0.67019 | PSO | 700 | 700.6977 | 700.0213 | 0.0089771 | 600 | 0.18424 | LWPS | 700 | 700.323 | 700.0795 | 0.0063773 | 600 | 8.5961 | CWOA | 700 | 700.0271 | 700.0053 | 4.69E − 05 | 514.5667 | 7.5231 | ASGS-CWOA | 700 | 700 | 700 | 0 | 238.2 | 11.578 |
| 8 | CEC’14-F8 | GA | 800 | 801.9899 | 801.0945 | 0.48507 | 57.6333 | 0.62438 | PSO | 800 | 801.4806 | 800.2342 | 0.13654 | 594.26 | 0.17554 | LWPS | 800 | 800.995 | 800.1327 | 0.11439 | 600 | 8.486 | CWOA | 800 | 801.9899 | 800.6965 | 0.53787 | 497.3667 | 7.2666 | ASGS-CWOA | 800 | 800.995 | 800.2786 | 0.19957 | 469.34 | 21.8131 |
| 9 | CEC’14-F9 | GA | 900 | 903.9798 | 901.3929 | 1.1615 | 58.2667 | 0.63184 | PSO | 900 | 900.995 | 900.186 | 0.10073 | 591.31 | 0.17613 | LWPS | 900 | 900.995 | 900.0995 | 0.089095 | 600 | 8.5478 | CWOA | 900 | 901.9899 | 900.6965 | 0.53787 | 503.5333 | 6.9673 | ASGS-CWOA | 900 | 903.9798 | 900.5273 | 0.50398 | 496.31 | 23.0867 |
| 10 | CEC’14-F10 | GA | 1000 | 1058.504 | 1005.603 | 140.4036 | 63.5333 | 0.68942 | PSO | 1000 | 1118.750 | 1009.425 | 808.3984 | 591.93 | 0.19874 | LWPS | 1000 | 1017.069 | 1000.839 | 9.1243 | 600 | 8.7552 | CWOA | 1000 | 1058.192 | 1006.533 | 145.8132 | 547.8333 | 7.833 | ASGS-CWOA | 1063.306 | 1363.476 | 1174.777 | 7651.0577 | 600 | 33.4225 |
| 11 | CEC’14-F11 | GA | 1100 | 1333.896 | 1156.947 | 3936.7124 | 62.2333 | 0.67663 | PSO | 1100 | 1218.438 | 1107.871 | 228.3351 | 593.69 | 0.19941 | LWPS | 1100 | 1100.624 | 1100.208 | 0.047643 | 600 | 9.0343 | CWOA | 1100 | 1218.438 | 1105.273 | 459.2835 | 534.2 | 7.6136 | ASGS-CWOA | 1100.312 | 1403.453 | 1323.981 | 5000.5589 | 600 | 29.089 |
| 12 | CEC’14-F12 | GA | 1200.000 | 1205.058 | 1200.198 | 0.84017 | 74.1667 | 0.90516 | PSO | 1200 | 1200.286 | 1200.008 | 0.00091935 | 590.03 | 1.0801 | LWPS | 1200.001 | 1201.136 | 1200.242 | 0.041088 | 600 | 17.2774 | CWOA | 1200 | 1200 | 1200 | 1.49E − 20 | 600 | 17.6222 | ASGS-CWOA | 1200 | 1200.016 | 1200.001 | 9.25E − 06 | 537.61 | 173.256 |
| 13 | CEC’14-F13 | GA | 1300.005 | 1300.188 | 1300.02 | 0.0012674 | 69.2667 | 0.74406 | PSO | 1300.003 | 1300.303 | 1300.123 | 0.0073239 | 591.87 | 0.18376 | LWPS | 1300.007 | 1300.267 | 1300.089 | 0.0039127 | 600 | 8.7117 | CWOA | 1300.000 | 1300.132 | 1300.017 | 0.0010414 | 600 | 9.0362 | ASGS-CWOA | 1300.013 | 1300.242 | 1300.120 | 0.003075 | 600 | 28.6266 |
| 14 | CEC’14-F14 | GA | 1400.000 | 1400.499 | 1400.264 | 0.035262 | 57.9 | 0.63369 | PSO | 1400 | 1400.067 | 1400.023 | 0.00039174 | 591.8 | 0.19591 | LWPS | 1400.000 | 1400.175 | 1400.037 | 0.0015846 | 600 | 9.0429 | CWOA | 1400.000 | 1400.179 | 1400.030 | 0.001558 | 600 | 9.3025 | ASGS-CWOA | 1400.111 | 1400.491 | 1400.457 | 0.0032626 | 600 | 30.4334 |
| 15 | CEC’14-F15 | GA | 1500 | 1500.175 | 1500.073 | 0.0033323 | 54.7667 | 0.59602 | PSO | 1500 | 1500.098 | 1500.012 | 0.0004289 | 591.32 | 0.18265 | LWPS | 1500 | 1500.139 | 1500.021 | 0.0010981 | 600 | 7.4239 | CWOA | 1500 | 1500.098 | 1500.015 | 0.0003538 | 477.6667 | 6.5924 | ASGS-CWOA | 1500 | 1500.020 | 1500.001 | 2.24E − 05 | 101.29 | 4.8 |
| 16 | CEC’14-F16 | GA | 1600 | 1600.746 | 1600.281 | 0.038563 | 53.8333 | 0.58607 | PSO | 1600 | 1600.356 | 1600.015 | 0.001519 | 593.95 | 0.18491 | LWPS | 1600.019 | 1600.074 | 1600.024 | 0.000272 | 600 | 8.7907 | CWOA | 1600 | 1600.254 | 1600.058 | 0.0031938 | 593.5 | 9.0235 | ASGS-CWOA | 1600 | 1600.019 | 1600.007 | 8.69E − 05 | 545.55 | 26.1972 |
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