Table 4 Findings on unimodal reference functions (F1 to F7).
Algorithms | Metric | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
---|---|---|---|---|---|---|---|---|
PO | Mean | −8.7718e−30 | 7.5698e−32 | 1.0805e−35 | −7.7079e−30 | 0.99979 | −0.5 | 0.0021875 |
Std | 8.6429e−31 | 1.1135e−47 | 6.7961e−51 | 3.3405e−30 | 0.00098788 | 0.0002205 | 0.0060337 | |
Rank | 11 | 9 | 10 | 11 | 10 | 1 | 9 | |
CPO-1 | Mean | 2.2632e−73 | 5.1604e−97 | −3.918e−126 | 5.747e−113 | 0.010512 | −0.5 | 0.0070087 |
Std | 2.8675e−73 | 2.8143e−97 | 1.377e−126 | 3.059e−113 | 0.0030663 | 5.9731e−06 | 0.0066965 | |
Rank | 7 | 2 | 1 | 4 | 1 | 1 | 11 | |
CPO-2 | Mean | 1.4684e−72 | 2.0807e−69 | 0 | 3.8769e−81 | 0.018519 | −0.5 | −0.0005080 |
Std | 8.7735e−73 | 1.2017e−69 | 0 | 2.3162e−81 | 0.038156 | 4.7803e−06 | 0.00059386 | |
Rank | 8 | 6 | 11 | 10 | 3 | 1 | 4 | |
CPO-3 | Mean | −2.0714e−90 | 1.5357e−89 | −2.5865e−64 | 7.153e−111 | 0.020987 | −0.5 | −0.0084807 |
Std | 9.9463e−91 | 9.8942e−90 | 1.208e−64 | 3.098e−111 | 0.046121 | 4.5476e−06 | 0.0030797 | |
Rank | 2 | 4 | 9 | 5 | 5 | 1 | 1 | |
CPO-4 | Mean | −1.1389e−90 | 2.477e−112 | −7.8564e−88 | 1.353e−120 | 0.023922 | −0.5 | −0.0022564 |
Std | 8.2423e−91 | 1.616e−111 | 5.87e−88 | 8.498e−121 | 0.057475 | 1.0384e−05 | 0.00079279 | |
Rank | 3 | 1 | 3 | 2 | 7 | 1 | 3 | |
CPO-5 | Mean | 3.4877e−77 | 1.4544e−64 | −1.1489e−93 | 1.413e−111 | 0.020732 | −0.5 | 0.0017392 |
Std | 1.9899e−77 | 1.1467e−64 | 1.7405e−92 | 9.087e−112 | 0.04522 | 2.2503e−05 | 0.001781 | |
Rank | 6 | 7 | 2 | 6 | 4 | 1 | 8 | |
CPO-6 | Mean | −3.0811e−86 | 2.6024e−83 | −2.866e−64 | −2.7646e−86 | 0.024874 | −0.5 | −0.0057192 |
Std | 1.257e−86 | 1.2487e−83 | 1.3627e−64 | 2.2293e−86 | 0.060637 | 1.1694e−05 | 0.00302 | |
Rank | 4 | 5 | 8 | 9 | 8 | 1 | 2 | |
CPO-7 | Mean | −1.1589e−61 | 0 | −1.1979e−72 | −7.749e−118 | 0.018367 | −0.5 | 0.0062348 |
Std | 9.0444e−62 | 0 | 7.8174e−73 | 4.291e−118 | 0.032511 | 9.6396e−05 | 0.0032556 | |
Rank | 10 | 10 | 7 | 3 | 2 | 1 | 10 | |
CPO-8 | Mean | 5.1029e−81 | 0 | 6.0472e−83 | −1.399e−100 | 1 | −0.5 | 0.00069701 |
Std | 1.8927e−80 | 0 | 2.811e−83 | 6.709e−101 | 2.9175e−05 | 1.3102e−05 | 0.004508 | |
Rank | 5 | 10 | 4 | 8 | 11 | 1 | 6 | |
CPO9 | Mean | −3.2055e−71 | 1.6997e−95 | 7.5616e−76 | 4.754e−106 | 0.021788 | −0.5 | 0.0010939 |
Std | 1.5977e−71 | 8.2221e−96 | 2.946e−76 | 1.194e−105 | 0.050635 | 6.6214e−06 | 0.0010383 | |
Rank | 9 | 3 | 6 | 7 | 6 | 1 | 7 | |
CPO-10 | Mean | 2.194e−109 | 3.8305e−57 | −1.5437e−81 | 5.413e−131 | 0.08719 | −0.5 | −0.0002437 |
Std | 9.656e−109 | 2.0528e−56 | 6.6674e−81 | 1.383e−129 | 0.21091 | 2.4701e−06 | 0.0050028 | |
Rank | 1 | 8 | 5 | 1 | 9 | 1 | 5 |