Table 5 Sensitivity analysis of the parameters \(\:{\beta\:}_{min}\) and \(\:{\beta\:}_{max}\)
F | Â | Scenario 1 | Scenario 2 | Scenario 3 | Scenario 4 | Scenario 5 | Scenario 6 |
|---|---|---|---|---|---|---|---|
F1 | AVG | 3249.980 | 1884.484 | 2564.724 | 2602.047 | 2316.105 | 2083.979 |
STD | 3063.281 | 2473.937 | 2616.219 | 2956.188 | 2332.908 | 2061.324 | |
F3 | AVG | 300.000 | 300.000 | 300.000 | 300.000 | 300.000 | 300.000 |
STD | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | |
F4 | AVG | 406.615 | 404.886 | 404.641 | 404.388 | 404.880 | 402.083 |
STD | 16.270 | 11.749 | 12.601 | 12.025 | 12.232 | 0.998 | |
F5 | AVG | 517.001 | 517.864 | 516.981 | 520.363 | 519.023 | 516.350 |
STD | 6.867 | 9.922 | 8.748 | 9.621 | 8.699 | 7.639 | |
F6 | AVG | 600.095 | 600.048 | 600.001 | 600.047 | 600.040 | 600.066 |
STD | 0.408 | 0.255 | 0.005 | 0.214 | 0.170 | 0.204 | |
F7 | AVG | 729.866 | 732.022 | 730.430 | 731.410 | 730.620 | 731.164 |
STD | 8.225 | 12.356 | 7.154 | 8.103 | 9.479 | 9.124 | |
F8 | AVG | 817.544 | 819.999 | 817.578 | 818.407 | 818.971 | 816.914 |
STD | 6.046 | 7.181 | 7.332 | 6.505 | 8.377 | 7.283 | |
F9 | AVG | 900.294 | 900.601 | 900.139 | 900.200 | 900.118 | 900.124 |
STD | 0.666 | 1.406 | 0.309 | 0.456 | 0.414 | 0.299 | |
F10 | AVG | 1666.399 | 1755.451 | 1794.644 | 1650.378 | 1740.848 | 1813.138 |
STD | 276.410 | 285.118 | 340.923 | 246.766 | 260.343 | 252.345 | |
F11 | AVG | 1111.970 | 1111.133 | 1112.685 | 1113.263 | 1111.381 | 1109.898 |
STD | 9.574 | 4.175 | 8.896 | 13.237 | 8.817 | 5.777 | |
F12 | AVG | 1.282E + 04 | 1.194E + 04 | 1.375E + 04 | 1.232E + 04 | 1.105E + 04 | 1.380E + 04 |
STD | 9.639E + 03 | 6.926E + 03 | 9.751E + 03 | 8.122E + 03 | 7.525E + 03 | 1.056E + 04 | |
F13 | AVG | 7.712E + 03 | 8.061E + 03 | 6.958E + 03 | 6.609E + 03 | 8.483E + 03 | 8.358E + 03 |
STD | 5243.024 | 4976.950 | 4289.342 | 4264.100 | 4969.781 | 5094.372 | |
F14 | AVG | 1459.933 | 1455.562 | 1451.157 | 1461.718 | 1454.935 | 1462.153 |
STD | 33.376 | 24.621 | 21.114 | 42.699 | 27.959 | 31.612 | |
F15 | AVG | 1560.125 | 1548.950 | 1548.520 | 1563.955 | 1550.480 | 1562.455 |
STD | 70.473 | 45.246 | 65.323 | 50.719 | 43.575 | 63.181 | |
F16 | AVG | 1722.224 | 1719.137 | 1756.630 | 1732.078 | 1737.260 | 1784.496 |
STD | 125.121 | 110.412 | 150.588 | 129.688 | 132.981 | 129.439 | |
F17 | AVG | 1746.013 | 1741.960 | 1742.751 | 1744.755 | 1739.671 | 1739.451 |
STD | 22.347 | 28.214 | 21.858 | 27.654 | 32.271 | 21.117 | |
F18 | AVG | 1.249E + 04 | 1.133E + 04 | 8.910E + 03 | 1.145E + 04 | 9.333E + 03 | 1.144E + 04 |
STD | 1.152E + 04 | 1.079E + 04 | 7.141E + 03 | 8.989E + 03 | 8.770E + 03 | 1.114E + 04 | |
F19 | AVG | 5346.020 | 5248.418 | 5811.505 | 3830.378 | 4433.477 | 4298.046 |
STD | 3601.822 | 3610.759 | 4518.454 | 2736.605 | 2696.526 | 3730.923 | |
F20 | AVG | 2065.215 | 2071.315 | 2048.261 | 2064.562 | 2059.317 | 2061.875 |
STD | 59.808 | 62.194 | 49.510 | 50.540 | 52.295 | 53.796 | |
F21 | AVG | 2301.552 | 2287.715 | 2313.057 | 2308.170 | 2295.181 | 2292.825 |
STD | 41.235 | 53.729 | 31.756 | 37.045 | 48.986 | 52.003 | |
F22 | AVG | 2298.636 | 2301.316 | 2300.009 | 2301.501 | 2299.058 | 2298.536 |
STD | 15.775 | 0.656 | 7.794 | 0.820 | 14.394 | 15.312 | |
F23 | AVG | 2615.773 | 2616.088 | 2614.798 | 2614.022 | 2615.625 | 2615.681 |
STD | 7.933 | 5.240 | 6.456 | 6.533 | 7.330 | 7.984 | |
F24 | AVG | 2747.400 | 2729.996 | 2737.983 | 2714.093 | 2730.498 | 2737.914 |
STD | 6.744 | 62.883 | 45.471 | 85.723 | 63.092 | 45.601 | |
F25 | AVG | 2929.513 | 2929.746 | 2932.090 | 2926.550 | 2933.128 | 2925.301 |
STD | 22.162 | 22.167 | 27.802 | 23.242 | 21.118 | 23.640 | |
F26 | AVG | 3012.865 | 2901.459 | 2897.367 | 2898.257 | 2897.375 | 2918.368 |
STD | 337.581 | 224.031 | 78.903 | 101.261 | 68.794 | 215.475 | |
F27 | AVG | 3096.576 | 3096.283 | 3096.307 | 3096.735 | 3095.849 | 3097.025 |
STD | 18.560 | 18.969 | 15.207 | 15.232 | 13.224 | 17.906 | |
F28 | AVG | 3308.714 | 3349.607 | 3342.790 | 3344.003 | 3317.424 | 3342.396 |
STD | 183.521 | 119.064 | 111.080 | 113.920 | 128.693 | 147.237 | |
F29 | AVG | 3214.929 | 3209.557 | 3207.533 | 3206.326 | 3203.550 | 3211.961 |
STD | 44.248 | 40.942 | 58.281 | 49.514 | 46.002 | 53.084 | |
F30 | AVG | 3.850E + 05 | 1.553E + 05 | 1.219E + 05 | 1.089E + 05 | 2.338E + 05 | 1.777E + 05 |
STD | 5.725E + 05 | 3.987E + 05 | 2.987E + 05 | 3.061E + 05 | 4.299E + 05 | 4.219E + 05 | |
FR rank | 4.32 | 3.58 | 2.99 | 3.46 | 3.11 | 3.55 | |