Research Article
SFDE: Shuffled Frog-Leaping Differential Evolution and Its Application on Cognitive Radio Throughput
Table 3
The comparison results of function optimization.
| | F#/Rate | T/F | EPSDE | MDE_DE | CODE_DE° | MDESELF_DE |
| | F1/87.5% | T-test | 7.6954E-03 | 3.3359E-02 | 3.5105E-02 | 3.4813E-02 | | F-test | 8.8978E-01 | 5.4921E-03 | 3.2283E-05 | 3.6439E-03 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F2/62.5% | T-test | 2.2431E-02 | 3.3328E-06 | 3.1399E-04 | 5.8249E-02 | | F-test | 5.4126E-01 | 5.2737E-01 | 4.2237E-03 | 1.3638E-02 | | T/F | +/- | +/- | +/+ | -/+ |
| | F3/75% | T-test | 1.9592E-01 | 2.8839E-02 | 5.5096E-03 | 4.2232E-01 | | F-test | 1.5253E-33 | 4.9760E-23 | 2.8585E-31 | 5.6612E-24 | | T/F | -/+ | +/+ | +/+ | -/+ |
| | F4/87.5% | T-test | 4.4275E-02 | 6.7979E-04 | 2.8489E-03 | 9.0376E-02 | | F-test | 4.7045E-40 | 3.0269E-34 | 6.7452E-43 | 7.9601E-40 | | T/F | +/+ | +/+ | +/+ | -/+ |
| | F5/50% | T-test | 1.6634E-02 | 9.8894E-06 | 4.9342E-01 | 1.4166E-01 | | F-test | 1.1582E-01 | 3.2658E-25 | 3.6254E-01 | 8.1762E-03 | | T/F | +/- | +/+ | -/- | -/+ |
| | F6/62.5% | T-test | 9.0588E-02 | 6.7503E-02 | 6.7318E-03 | 2.1129E-01 | | F-test | 3.0342E-147 | 1.2115E-130 | 2.8959E-159 | 1.7384E-146 | | T/F | -/+ | -/+ | +/+ | -/+ |
| | F7/50% | T-test | 8.0260E-03 | 5.0414E-04 | 8.2932E-04 | 1.4593E-02 | | F-test | 2.9739E-01 | 2.9593E-01 | 6.3363E-01 | 1.9485E-01 | | T/F | +/- | +/- | +/- | +/- |
| | F8/87.5% | T-test | 1.2310E-02 | 7.9426E-03 | 7.5570E-05 | 7.5386E-02 | | F-test | 1.1154E-74 | 4.4393E-52 | 2.0763E-73 | 6.1861E-42 | | T/F | +/+ | +/+ | +/+ | -/+ |
| | F9/100% | T-test | 2.3766E-02 | 4.7325E-08 | 1.1628E-02 | 4.0496E-07 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F10/37.5% | T-test | 1.4552E-01 | 6.3556E-01 | 1.7863E-01 | 1.5229E-01 | | F-test | 1.6245E-09 | 8.7781E-01 | 1.3244E-04 | 7.0381E-10 | | T/F | -/+ | -/- | -/+ | -/+ |
| | F11/100% | T-test | 0.0000E+00 | 0.0000E+00 | 3.9290E-02 | 0.0000E+00 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F12/100% | T-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 6.8809E-06 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F13/100% | T-test | 2.3766E-02 | 4.7325E-08 | 2.2266E-02 | 1.6671E-05 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F14/50.0% | T-test | 1.2857E-01 | 2.9792E-01 | 6.8323E-02 | 4.2411E-01 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | -/+ | -/+ | -/+ | -/+ |
| | F15/100% | T-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F16/100% | T-test | 1.7538E-02 | 2.3093E-03 | 2.3093E-03 | 3.9836E-02 | | F-test | 2.2333E-51 | 6.1220E-16 | 6.2159E-42 | 2.4880E-31 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F17/100% | T-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F18/50.0% | T-test | 3.5592E-01 | 3.5592E-01 | 3.4659E-01 | 3.4659E-01 | | F-test | 1.0490E-71 | 1.6603E-116 | 2.5120E-52 | 4.4566E-67 | | T/F | -/+ | -/+ | -/+ | -/+ |
| | F19/100% | T-test | 1.3200E-02 | 5.4837E-02 | 1.5650E-03 | 3.3401E-01 | | F-test | 0.0000E+00 | 5.7934E-298 | 0.0000E+00 | 1.3100E-303 | | T/F | +/+ | +/+ | +/+ | +/+ |
| | F20/100% | T-test | 4.6049E-02 | 4.2513E-04 | 1.3872E-08 | 3.6213E-02 | | F-test | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | | T/F | +/+ | +/+ | +/+ | +/+ |
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