Research Article

A Modified Sine-Cosine Algorithm Based on Neighborhood Search and Greedy Levy Mutation

Table 3

Test statistical results of functions .

Benchmark functionPSODEBATLBOGWOCSAMSCA

Best9.07650779E-011.65407264E-776.60911194E-06002.41227653E-990
Mean1.97056172E+012.62600749E-768.47162999E-06007.79692173E-860
Worst4.94364998E+016.31133690E-761.067648634E-05001.54558620E-840
Std1.21250926E+012.65771348E-761.08812519E-06003.45449900E-850

Best7.49555834E+004.70179283E-461.03934630E-0201.33605985E-2522.60844948E-630
Mean1.12174418E+017.29820866E-463.22204665E+0101.92526708E-2512.41170865E-570
Worst2.02022159E+011.09423091E-459.30092920E+0104.70878320E-2514.40324480E-560
Std3.24260462E+002.84907171E-464.25000382E+0100.00000000E+009.80901847E-570

Best4.98125395E+023.62807984E+039.12788809E-063.04791020E-2101.41705680E-1634.35895925E-520
Mean1.26469111E+037.46153322E+031.50873736E-051.59616421E-2031.49297576E-1474.66854445E-460
Worst2.34229374E+031.07658866E+042.06438516E-051.07878223E-2027.46124358E-1474.16089002E-450
Std5.55711673E+022.67341362E+033.88507836E-0603.33636341E-1471.08000440E-450

Best6.02122506E+003.83820416E-079.12788809E-0603.88068837E-1143.39775522E-340
Mean8.61122109E+005.60317284E-071.50873736E-0501.33829026E-1124.65163872E-260
Worst1.21184255E+017.68100603E-072.06438516E-0505.28812647E-1129.30221952E-250
Std1.92051215E+001.68313586E-073.88507836E-0602.22979531E-1122.08002707E-250

Best1.98124514E+022.30707248E+011.86517166E-011.78074032E-022.51787920E+012.62363000E+017.76116677E-12
Mean1.01254587E+033.61624708E+011.79820932E+001.16810392E+002.61197789E+012.70812117E+015.82095129E-06
Worst3.26561071E+038.05070422E+014.19411715E+004.16880641E+002.70635443E+012.86501385E+012.47408894E-05
Std9.62804586E+022.48173576E+012.18569786E+001.09797628E+009.14735948E-016.82466657E-016.12299693E-11

Best9.25831394E+000.00000000E+007.20895352E-063.69778549E-322.60632647E-073.37812908E+000
Mean2.87969807E+010.00000000E+007.97379259E-063.12154725E-311.00333382E-013.73341278E+000
Worst6.59256512E+010.00000000E+008.81647389E-061.35893617E-302.51573695E-014.00431209E+000
Std1.56322191E+010.00000000E+006.01088500E-073.40671290E-311.37387749E-011.64786441E-010

Best1.01845349E-013.67133207E-032.30691046E-023.05530711E-052.42052731E-052.03984969E-065.95321712E-07
Mean2.09157287E-014.53974219E-033.06138991E-028.56177810E-055.18444251E-051.75661500E-052.06970501E-05
Worst3.76016628E-015.50134798E-033.63388054E-021.35008643E-049.24177878E-055.33965433E-055.50713991E-05
Std8.23611787E-026.65597117E-044.92468230E-032.77562650E-052.84763595E-051.42228474E-051.31769905E-05