Computational Intelligence and Neuroscience

Research Article

Modification of Fish Swarm Algorithm Based on Lévy Flight and Firefly Behavior

Table 3

Comparison of optimization results.
No.ItemsAFSAStd.FAStd.FFSAStd.LFFSAStd.DEStd.jDEStd.
f1Worst3.0140.181−2.7980.120−5.1320.071−6.7430.071−8.5440.132−15.0210.121
Best2.402−3.257−5.233−8.500−10.371−17.242
Average2.656−3.048−5.145−7.278−8.924−16.326
Median2.651−3.102−5.193−6.325−8.586−16.706
f2Worst−2.3220.171−1.92450.135−11.1780.074−14.2070.134−20.5060.400−31.6440.535
Best−4.126−2.813−11.313−15.585−21.611−33.250
Average−2.812−2.278−11.273−14.812−21.054−32.687
Median−2.562−2.197−11.271−14.834−20.970−32.844
f3Worst1.3860.001−1.7760.124−3.9080.197−6.1210.138−0.0270.438−8.9340.167
Best1.307−2.415−4.647−6.938−1.281−9.471
Average1.587−2.168−4.147−6.546−0.049−9.163
Median1.586−2.177−4.225−6.325−0.035−9.164
f4Worst2.1430.0872.27330.097−2.03480.125−1.0760.3761.5200.0031.4540.025
Best1.5651.043−2.416−3.4051.4121.363
Average1.9461.476−2.158−1.9461.3851.312
Median1.8541.385−2.235−2.3251.3631.287
f5Worst2.3100.0771.8640.856−2.8460.044−4.3850.054−0.5790.3230.8986.009
Best2.0961.243−2.982−5.145−1.591−12.831
Average2.2361.454−2.946−4.643−0.999−3.303
Median2.1361.285−2.435−4.325−0.9630.148
f6Worst2.4450.0381.7160.133−2.3820.076−3.4140.0481.1310.0420.6985.049
Best2.3181.255−2.618−3.6061.012−11.404
Average2.4081.571−2.486−3.4891.077−5.466
Median2.4191.601−2.462−3.4871.094−7.632
f7Worst3.8150.0183.78460.0314.1864.1564.0994.087
Best3.9453.9784.0994.0994.0994.099
Average3.8133.8484.0994.0994.0994.097
Median3.7363.785−4.099−4.0994.0994.097
f8Worst0.9560.133−0.9600.223−5.3010.051−6.2710.055−9.890.114−Inf0
Best−0.644−0.500−5.444−6.455−10.255−Inf
Average−0.735−0.697−5.357−6.372−10.071−Inf
Median0.7360.685−5.435−6.325−10.074−Inf
f9Worst−11.6651.057−9.761.324−9.3470.843−8.6951.323−6.8481.124−6.1312.697
Best−14.433−10.574−12.194−11.937−10.680−14.831
Average−12.786−10.456−10.764−10.137−8.178−9.938
Median1.1361.085−7.435−6.325−7.745−9.663
f10Worst0.9570.1310.9740.223−5.3750.049−6.2740.0560.6730.0320.2800.110
Best0.6440.497−5.448−6.4860.483−0.022
Average0.7470.649−5.376−6.3480.5260.230
Median1.1361.085−7.435−6.3250.5470.211
f11Worst−0.301−0.3030.009−4.7510.071−5.6470.085−0.8960.103−1.1060.135
Best−0.301−0.331−5.011−5.965−1.107−1.429
Average−0.301−0.313−4.838−5.804−0.975−1.364
Median−0.301−0.311−4.835−5.804−0.896−1.402
f12Worst0.7790.037−1.1770.163−2.7560.035−3.1580.037−0.1360.052−1.9040.221
Best0.658−1.638−2.892−3.287−0.339−2.526
Average0.711−1.388−2.811−3.221−0.252−2.291
Median0.716−1.376−2.801−3.2160.248−2.374
f13Worst4.2860.1730.5740.297−0.6020.007−0.6020.0050.0390.068−0.176
Best3.706−0.175−0.605−0.605−0.162−0.176
Average4.147−0.013−0.603−0.603−0.088−0.176
Median4.213−0.135−0.603−6.603−0.086−0.176
f14Worst2.4040.0840.4050.318−3.5980.117−4.5140.1010.2760.211−2.1920.401
Best2.173−0.576−4.001−4.869−0.369−3.409
Average2.2750.069−3.773−4.656−0.117−2.867
Median2.2460.133−3.719−4.651−0.134−2.924
f15Worst2.5880.07051.5050.198−4.2810.117−4.9750.2412.2410.0770.6350.372
Best2.366−4.679−5.792−7.24741.972−0.370
Average2.490−4.561−5.408−6.32592.1400.148
Median2.506−4.601−5.456−6.32592.1360.218
f16Worst1.4380.058−1.4630.253−2.7620.026−3.2390.032−2.3540.042−3.3920.433
Best1.268−2.296−2.838−3.334−2.482−4.646
Average1.366−1.987−2.793−3.282−2.408−3.868
Median1.375−2.016−2.793−3.284−2.402−3.751
f17Worst−22.9540.643−25.6731.721−70.7481.908−79.6450.131−47.0251.403−63.0311.942
Best−24.885−32.075−77.054−80.098−51.440−68.738
Average−23.772−28.641−74.598−79.996−48.982−66.539
Median−23.731−28.759−74.907−80.001−49.035−66.559