Table 4 Means and CI boundaries of the compared algorithms for the CEC 2022 benchmarks.
Algorithm | KET chaotic | KET decay | CFO | DE | MShOA | PSO | RIME | WOA | WUTPO | |
|---|---|---|---|---|---|---|---|---|---|---|
(a) Fn1 | Means | 300.0009 | 300.0001 | 300.0000 | 4867.3359 | 9981.1306 | 727.3408 | 300.3676 | 409.5919 | 4611.5788 |
CI_Lower | 300.0003 | 300.0000 | 300.0000 | 4444.0285 | 8967.5938 | 182.4029 | 300.2940 | 370.3131 | 4175.2037 | |
CI_Upper | 300.0015 | 300.0002 | 300.0000 | 5290.6433 | 10994.6674 | 1272.2786 | 300.4412 | 448.8708 | 5047.9538 | |
(b) Fn2 | Means | 404.1472 | 407.4777 | 409.2437 | 407.7542 | 796.1205 | 470.8397 | 409.4582 | 416.5814 | 407.6497 |
CI_Lower | 403.0705 | 403.5994 | 403.9487 | 406.9346 | 637.4243 | 448.1774 | 404.7896 | 409.8131 | 407.3126 | |
CI_Upper | 405.2238 | 411.3559 | 414.5388 | 408.5739 | 954.8167 | 493.5021 | 414.1267 | 423.3498 | 407.9868 | |
(c) Fn3 | Means | 600.3998 | 600.5183 | 607.4171 | 600.0000 | 636.0838 | 601.6896 | 600.1952 | 601.9365 | 600.0288 |
CI_Lower | 600.3233 | 600.1361 | 605.6331 | 600.0000 | 632.6635 | 600.9745 | 600.1570 | 601.3008 | 599.9788 | |
CI_Upper | 601.2778 | 600.9006 | 609.2012 | 600.0000 | 639.5040 | 602.4047 | 600.2333 | 602.5722 | 600.0787 | |
(d) Fn4 | Means | 817.1332 | 815.8526 | 828.2369 | 823.5248 | 845.9872 | 822.6640 | 820.9191 | 831.3052 | 833.4923 |
CI_Lower | 815.0669 | 813.7891 | 825.3561 | 822.3658 | 842.5402 | 819.3988 | 818.3590 | 827.2706 | 831.9732 | |
CI_Upper | 819.1995 | 817.9161 | 831.1176 | 824.6838 | 849.4342 | 825.9291 | 823.4791 | 835.3398 | 835.0114 | |
(e) Fn5 | Means | 922.3159 | 915.3257 | 1002.2159 | 903.4406 | 1455.2637 | 904.7795 | 900.3278 | 907.3954 | 900.0000 |
CI_Lower | 910.9819 | 907.5777 | 966.0712 | 902.7771 | 1381.6231 | 895.9579 | 900.2005 | 904.8429 | 900.0000 | |
CI_Upper | 933.6499 | 923.0737 | 1038.3605 | 904.1042 | 1528.9043 | 913.6010 | 900.4550 | 909.9479 | 900.0000 | |
(f) Fn6 | Means | 1872.7126 | 2033.1242 | 2462.4984 | 3869.0027 | 5,188,690 | 6308.5381 | 3848.0463 | 13428.3985 | 76453.367 |
CI_Lower | 1848.1450 | 1855.9319 | 2220.1294 | 3448.3334 | 1,965,640 | 5722.0638 | 3255.8476 | 6027.6100 | 8363.0210 | |
CI_Upper | 1897.2802 | 2210.3164 | 2704.8675 | 4289.6720 | 8,411,739 | 6895.0124 | 4440.2450 | 20829.187 | 144543.713 | |
(g) Fn7 | Means | 2023.4462 | 2023.6814 | 2030.4082 | 2004.0114 | 2095.0466 | 2024.6752 | 2016.3613 | 2030.9010 | 2033.2926 |
CI_Lower | 2020.9227 | 2020.2108 | 2026.1907 | 2003.6221 | 2085.4384 | 2019.6602 | 2014.0444 | 2028.2399 | 2026.7059 | |
CI_Upper | 2025.9696 | 2027.1519 | 2034.6257 | 2004.4007 | 2104.6548 | 2029.6902 | 2018.6783 | 2033.5620 | 2039.8794 | |
(h) Fn8 | Means | 2220.2221 | 2218.9044 | 2221.5386 | 2217.2904 | 2243.2409 | 2227.8894 | 2218.4854 | 2226.2565 | 2228.9022 |
CI_Lower | 2219.0590 | 2217.1946 | 2221.2427 | 2216.1324 | 2231.2066 | 2220.8758 | 2216.6454 | 2224.8787 | 2228.5136 | |
CI_Upper | 2221.3852 | 2220.6142 | 2221.8345 | 2218.4485 | 2255.2751 | 2234.9029 | 2220.3254 | 2227.6343 | 2229.2908 | |
(i) Fn9 | Means | 2529.2844 | 2529.2844 | 2535.1617 | 2529.5987 | 2692.5206 | 2554.2132 | 2529.2854 | 2529.7988 | 2529.2844 |
CI_Lower | 2529.2844 | 2529.2844 | 2526.8958 | 2529.5283 | 2673.8340 | 2540.5755 | 2529.2851 | 2510.9641 | 2529.2844 | |
CI_Upper | 2529.2844 | 2529.2844 | 2543.4275 | 2529.6691 | 2711.2071 | 2567.8509 | 2529.2858 | 2548.6335 | 2529.2844 | |
(j) Fn10 | Means | 2532.3355 | 2538.5489 | 2531.3670 | 2498.8170 | 2629.7186 | 2562.2740 | 2537.2616 | 2548.6980 | 2519.4351 |
CI_Lower | 2516.8761 | 2522.6278 | 2515.6312 | 2495.7673 | 2567.4937 | 2542.9653 | 2521.8223 | 2531.6071 | 2486.8540 | |
CI_Upper | 2547.7950 | 2554.4699 | 2547.1028 | 2501.8667 | 2691.9434 | 2581.5826 | 2552.7010 | 2565.7889 | 2552.0161 | |
(k) Fn11 | Means | 2670.9117 | 2702.3092 | 2657.7415 | 2690.7691 | 3148.3302 | 2876.2615 | 2692.7967 | 2719.7366 | 2625.5506 |
CI_Lower | 2638.5511 | 2669.9237 | 2621.2050 | 2679.5215 | 3053.4123 | 2815.6324 | 2657.7040 | 2669.6354 | 2600.9248 | |
CI_Upper | 2703.2723 | 2734.6946 | 2694.2780 | 2702.0168 | 3243.2480 | 2936.8907 | 2727.8893 | 2769.8379 | 2650.1764 | |
(l) Fn12 | Means | 2864.9716 | 2864.9685 | 2876.7629 | 2865.3134 | 2921.7790 | 2869.7271 | 2865.1035 | 2897.7728 | 2861.8450 |
CI_Lower | 2864.3016 | 2864.2699 | 2872.7328 | 2865.2007 | 2911.2927 | 2867.5759 | 2864.5283 | 2894.9279 | 2861.5983 | |
CI_Upper | 2865.6416 | 2865.6672 | 2880.7930 | 2865.4262 | 2932.2653 | 2871.8783 | 2865.6788 | 2900.6177 | 2862.0918 |
