Complexity

Research Article

A Customized Differential Evolutionary Algorithm for Bounded Constrained Optimization Problems

Table 4

The experimental results obtained by DE-1 and DE-5 versus proposed C-DE by solving CEC’13 benchmark functions F₁ to F₂₀ in dimensions.


P. no	Opt	Algorithm	Best	Worst	Mean	Median	Std

F₀₁		DE-1					0.000000
		DE-5					0.000000
		C-DE					0.000000

F₀₂		DE-1					14956353.317846
		DE-5					7763339.936747
		C-DE					8995583.667657

F₀₃		DE-1					42393532.103937
		DE-5					14758359.088589
		C-DE	103655				13305275.710745

F₀₄		DE-1	35354	75681	57139.5	56623.9	9376.123241
		DE-5	18653.7	36440.7	25639.8	25351.4	4364.116408
		C-DE	15683.9	32184.6	24428.4	24524.1	4004.135290

F₀₅		DE-1					0.000000
		DE-5					0.000000
		C-DE					0.000000

F₀₆		DE-1					8.219750
		DE-5					12.856533
		C-DE					12.862273

F₀₇		DE-1					6.037184
		DE-5					7.427720
		C-DE					5.870443

F₀₈		DE-1					0.050295
		DE-5					0.048735
		C-DE					0.043403

F₀₉		DE-1					1.427762
		DE-5					1.682517
		C-DE					1.325391

F₁₀		DE-1					7.436859
		DE-5					0.222811
		C-DE					0.269271

F₁₁		DE-1					0.000000
		DE-5					1.011598
		C-DE					0.437924

F₁₂		DE-1					9.743013
		DE-5					12.860856
		C-DE					12.653504

F₁₃		DE-1	543.649	606.651	587.113	588.029	10.751144
		DE-5	223.974	285.604	257.156	257.869	13.872433
		C-DE					10.970706

F₁₄		DE-1	958.621	1163.13	1076.09	1073.97	37.599756
		DE-5	1068.22	2325.26	1756.67	1732.49	352.891847
		C-DE	503.907	1368.46	870.066	877.497	193.156721

F₁₅	100	DE-1	6740.64	7841.49	7423.28	7454.15	263.687213
		DE-5	6182.54	7797.06	7189.49	7202.74	312.036005
		C-DE	6651.8	7656.34	7232.33	7269.4	287.708609

F₁₆	200	DE-1	211.829	212.918	212.478	212.507	0.266427
		DE-5	213.686	214.943	214.427	214.456	0.287333
		C-DE	201.688	202.936	202.454	202.452	0.288254

F₁₇	300	DE-1	351.495	356.482	353.565	353.493	1.325248
		DE-5	360.308	373.106	367.184	367.747	2.924574
		C-DE	347.203	361.075	355.355	355.148	2.813337

F₁₈	400	DE-1	582.99	647.337	631.422	632.877	11.084542
		DE-5	576.88	621.743	605.017	606.259	10.266823
		C-DE	576.732	615.316	596.713	597.625	8.919994

F₁₉	500	DE-1	515.067	517.608	516.468	516.501	0.599903
		DE-5	524.311	526.192	525.428	525.509	0.411725
		C-DE	503.979	506.237	505.276	505.386	0.497524

F₂₀	600	DE-1	612.548	613.437	613.046	613.049	0.211167
		DE-5	611.933	613.14	612.602	612.616	0.268802
		C-DE	611.798	613.08	612.546	612.596	0.285701