Computational Intelligence and Neuroscience

Research Article

Improved Sparrow Search Algorithm Based on Iterative Local Search

Table 5

Comparison table of the optimization effect of each algorithm (30 dimensions and fixed dimensions).
FIndexPSOSCAGWOWOAMWOASSABSSACSSALSSAISSA
F1Best3.039E − 082.140E − 045.309E − 403.217E − 1062.455E – 10605.308E − 269000
Worst2.030E − 061.076E + 019.250E − 383.331E − 941.392E − 9509.853E − 249000
Ave2.356E − 078.143E − 011.680E − 381.167E − 951.526E − 9603.337E − 250000
Std3.697E − 072.128E + 002.379E − 386.075E − 953.710E − 9600000
Rank91087615111
F2Best5.760E − 054.632E − 053.354E − 232.808E − 631.441E − 6201.827E − 13602.123E − 2630
Worst2.620E − 031.803E − 025.443E − 227.961E − 573.663E − 555.557E − 2311.955E − 12602.174E − 1690
Ave4.306E − 044.924E − 031.410E − 221.014E − 571.594E − 562.250E − 2321.332E − 12707.253E − 1710
Std4.897E − 044.613E − 031.008E − 222.073E − 576.709E − 5604.462E − 127000
Rank91086735141
F3Best4.148E + 017.288E + 021.144E − 071.056E + 042.370E + 0406.239E − 263000
Worst1.465E + 021.962E + 043.338E − 035.602E + 046.525E + 046.949E − 593.651E − 23201.751E − 2440
Ave9.521E + 017.423E + 031.535E − 043.870E + 044.355E + 042.316E − 601.217E − 23307.297E − 2460
Std3.092E + 014.667E + 036.126E − 041.181E + 041.007E + 041.269E − 590000
Rank78691054131
F4Best6.129E − 011.282E + 019.960E − 083.426E + 004.515E − 022.102E − 2933.783E − 13001.942E − 2100
Worst1.677E + 006.014E + 015.466E − 068.940E + 018.833E + 018.277E − 366.088E − 1201.338E − 1821.789E − 1420
Ave1.077E + 003.790E + 011.135E − 064.785E + 014.205E + 012.774E − 374.300E − 1214.720E − 1846.026E − 1440
Std2.676E − 011.281E + 011.271E − 062.867E + 013.029E + 011.511E − 361.332E − 12003.265E − 1430
Rank78610954231
F5Best2.564E + 014.001E + 012.581E + 012.707E + 012.701E + 012.124E − 142.502E − 081.176E − 098.738E − 100
Worst1.817E + 022.485E + 052.874E + 012.877E + 012.876E + 013.498E − 052.572E − 045.266E − 041.097E − 030
Ave8.783E + 012.463E + 042.704E + 012.794E + 012.795E + 014.175E − 065.466E − 052.864E − 055.689E − 050
Std4.634E + 014.827E + 046.734E − 014.754E − 014.112E − 019.187E − 067.765E − 051.005E − 042.064E − 040
Rank91067824351
F6Best7.636E − 065.178E + 006.012E − 074.835E − 026.880E − 0203.524E − 111.360E − 123.385E − 100
Worst1.739E − 035.039E + 011.255E + 009.709E − 011.047E + 007.534E − 061.103E − 075.188E − 083.010E − 077.059E − 04
Ave2.531E − 041.420E + 017.218E − 014.287E − 013.361E − 013.019E − 071.788E − 086.178E − 093.970E − 081.409E − 04
Std3.327E − 041.305E + 013.225E − 012.176E − 012.303E − 011.372E − 062.881E − 081.170E − 087.458E − 081.965E − 04
Rank61098742135
F7Best7.982E − 021.117E − 023.244E − 045.252E − 055.025E − 051.287E − 052.264E − 051.056E − 051.083E − 058.231E − 06
Worst3.788E − 012.485E − 014.318E − 031.108E − 021.460E − 021.062E − 039.727E − 044.982E − 048.427E − 045.115E − 04
Ave1.778E − 018.566E − 021.795E − 032.821E − 033.241E − 032.440E − 042.722E − 041.632E − 042.355E − 041.506E − 04
Std6.799E − 026.210E − 021.129E − 032.905E − 033.662E − 032.364E − 042.438E − 041.211E − 041.908E − 041.196E − 04
Rank10967845231
F8Best−8.128E + 03−4.963E + 03−7.948E + 03−1.257E + 04−1.257E + 04−1.257E + 04−1.030E + 04−1.257E + 04−1.257E + 04−1.257E + 04
Worst−3.967E + 03−3.578E + 03−3.642E + 03−8.304E + 03−7.837E + 03−7.673E + 03−7.671E + 03−8.952E + 03−1.033E + 04−1.083E + 04
Ave−6.667E + 03−4.023E + 03−6.361E + 03−1.153E + 04−1.142E + 04−1.060E + 04−8.891E + 03−1.128E + 04−1.182E + 04−1.245E + 04
Std9.060E + 023.243E + 027.713E + 021.520E + 031.230E + 031.948E + 035.289E + 028.299E + 026.529E + 023.565E + 02
Rank81093467521
F9Best2.609E + 018.825E − 0100000000
Worst8.661E + 012.056E + 021.045E + 0101.137E − 1300000
Ave5.757E + 013.868E + 011.057E + 0003.790E − 1500000
Std1.410E + 014.056E + 012.499E + 0002.076E − 1400000
Rank10981711111
F10Best2.946E − 032.093E − 027.905E − 148.882E − 168.882E − 168.882E − 168.882E − 168.882E − 168.882E − 168.882E − 16
Worst1.341E + 002.035E + 012.780E − 137.994E − 157.994E − 158.882E − 168.882E − 168.882E − 168.882E − 168.882E − 16
Ave2.508E − 011.104E + 011.554E − 133.849E − 155.033E − 158.882E − 168.882E − 168.882E − 168.882E − 168.882E − 16
Std4.770E − 019.347E + 004.636E − 142.483E − 152.653E − 1500000
Rank91086711111
F11Best1.262E − 064.291E − 0100000000
Worst3.694E − 022.192E + 002.243E − 022.284E − 01000000
Ave9.120E − 031.013E + 004.558E − 037.613E − 03000000
Std1.036E − 022.950E − 017.488E − 034.170E − 02000000
Rank91078111111
F12Best4.722E − 081.373E + 006.907E − 034.668E − 032.905E − 035.172E − 193.481E − 134.456E − 132.676E − 091.571E − 32
Worst1.037E − 013.061E + 061.258E − 013.701E − 012.246E − 011.549E − 078.831E − 093.088E − 096.638E − 079.777E − 05
Ave6.914E − 031.092E + 054.088E − 023.888E − 022.754E − 027.364E − 098.349E − 102.263E − 101.373E − 072.558E − 05
Std2.630E − 025.587E + 052.534E − 026.678E − 023.888E − 022.905E − 081.843E − 095.697E − 101.673E − 073.011E − 05
Rank61098732145
F13Best4.356E − 065.547E + 001.045E − 012.076E − 011.165E − 011.010E − 211.163E − 112.611E − 161.351E − 151.350E − 32
Worst1.152E − 023.410E + 069.183E − 011.069E + 001.303E + 002.333E − 072.900E − 071.083E − 103.592E − 111.350E − 32
Ave5.321E − 032.239E + 055.196E − 016.395E − 015.154E − 012.072E − 082.126E − 081.612E − 113.754E − 121.350E − 32
Std5.498E − 037.069E + 051.948E − 012.354E − 012.762E − 015.998E − 086.089E − 082.840E − 118.284E − 120
Rank61089745321
F14Best9.980E − 019.980E − 019.980E − 019.980E − 019.980E − 019.980E − 019.980E − 019.980E − 019.980E − 019.980E − 01
Worst1.172E + 011.076E + 011.267E + 011.076E + 011.076E + 011.267E + 011.267E + 019.980E − 011.267E + 011.267E + 01
Ave4.147E + 002.251E + 004.065E + 002.767E + 003.907E + 008.622E + 001.086E + 019.980E − 011.585E + 001.453E + 00
Std3.028E + 001.888E + 004.163E + 002.953E + 003.791E + 005.438E + 004.143E + 004.517E − 162.179E + 002.149E + 00
Rank84756910132
F15Best3.084E − 044.873E − 043.075E − 043.081E − 043.217E − 043.075E − 043.075E − 043.075E − 043.075E − 043.075E − 04
Worst1.093E − 031.506E − 032.036E − 025.941E − 032.252E − 033.447E − 046.256E − 043.205E − 043.155E − 043.319E − 04
Ave8.461E − 041.002E − 034.462E − 031.216E − 036.588E − 043.098E − 043.204E − 043.079E − 043.080E − 043.100E − 04
Std1.588E − 043.287E − 048.091E − 031.271E − 034.499E − 047.828E − 065.824E − 052.380E − 061.552E − 066.408E − 06
Rank78109635124
F16Best−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00
Worst−1.032E + 00−1.031E + 00−1.032E + 00−1.032E + 00−1.032E + 00−2.155E − 01−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00
Ave−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.004E + 00−1.032E + 00−1.032E + 00−1.032E + 00−1.032E + 00
Std07.279E − 050001.490E − 010000
Rank19111101111
F17Best3.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 01
Worst3.979E − 014.108E − 013.985E − 013.980E − 013.980E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 01
Ave3.979E − 013.994E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 013.979E − 01
Std02.363E − 031.095E − 041.569E − 052.801E − 0500000
Rank11097811111
F18Best3.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 00
Worst3.000E + 003.000E + 003.000E + 003.000E + 003.000E + 003.000E + 013.000E + 003.000E + 003.000E + 003.000E + 00
Ave3.000E + 003.000E + 003.000E + 003.000E + 003.000E + 004.800E + 003.000E + 003.000E + 003.000E + 003.000E + 00
Std000006.850E + 000000
Rank11111101111
F19Best−3.863E + 00−3.862E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00
Worst−3.863E + 00−3.854E + 00−3.856E + 00−3.861E + 00−3.860E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00
Ave−3.863E + 00−3.855E + 00−3.862E + 00−3.862E + 00−3.862E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00−3.863E + 00
Std3.162E − 151.785E − 031.528E − 036.637E − 046.423E − 0400000
Rank61078911111
F20Best−3.322E + 00−3.224E + 00−3.322E + 00−3.322E + 00−3.322E + 00−3.322E + 00−3.322E + 00−3.322E + 00−3.322E + 00−3.322E + 00
Worst−3.203E + 00−2.991E + 00−3.138E + 00−3.082E + 00−3.087E + 00−3.203E + 00−3.203E + 00−3.203E + 00−3.203E + 00−3.203E + 00
Ave−3.270E + 00−3.078E + 00−3.247E + 00−3.258E + 00−3.243E + 00−3.263E + 00−3.286E + 00−3.263E + 00−3.247E + 00−3.318E + 00
Std5.993E − 026.050E − 026.344E − 027.915E − 026.898E − 026.047E − 025.542E − 026.047E − 025.828E − 022.171E − 02
Rank31076942581
F21Best−1.015E + 01−5.819E + 00−1.015E + 01−1.015E + 01−1.015E + 01−1.015E + 01−1.015E + 01−1.015E + 01−1.015E + 01−1.015E + 01
Worst−2.631E + 00−4.973E − 01−2.683E + 00−4.984E + 00−2.615E + 00−5.055E + 00−9.996E + 00−1.015E + 01−1.015E + 01−1.015E + 01
Ave−7.630E + 00−2.164E + 00−9.088E + 00−8.265E + 00−8.515E + 00−9.303E + 00−1.013E + 01−1.015E + 01−1.015E + 01−1.015E + 01
Std3.218E + 001.734E + 002.466E + 002.490E + 002.753E + 001.932E + 003.978E − 02000
Rank91068754111
F22Best−6.207E + 00−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01−1.040E + 01
Worst−9.028E − 01−5.129E + 00−1.838E + 00−1.835E + 00−5.088E + 00−5.088E + 00−1.040E + 01−1.040E + 01−5.088E + 00−1.040E + 01
Ave−2.986E + 00−1.023E + 01−7.664E + 00−7.782E + 00−8.985E + 00−9.850E + 00−1.040E + 01−1.040E + 01−9.340E + 00−1.040E + 01
Std1.774E + 009.629E − 013.007E + 003.125E + 002.391E + 001.615E + 00002.162E + 000
Rank10498751161
F23Best−1.054E + 01−8.411E + 00−1.054E + 01−1.054E + 01−1.054E + 01−1.054E + 01−1.054E + 01−1.054E + 01−1.054E + 01−1.054E + 01
Worst−2.422E + 00−9.439E − 01−5.129E + 00−2.422E + 00−2.803E + 00−5.129E + 00−1.026E + 01−1.054E + 01−1.054E + 01−1.054E + 01
Ave−9.395E + 00−3.822E + 00−1.018E + 01−7.221E + 00−8.252E + 00−9.815E + 00−1.051E + 01−1.054E + 01−1.054E + 01−1.054E + 01
Std2.644E + 001.569E + 001.366E + 003.235E + 002.843E + 001.870E + 007.007E − 02000
Rank71059864111
Average rank4.605.934.764.454.382.932.141.171.721.10