Complexity

Research Article

A Customized Differential Evolutionary Algorithm for Bounded Constrained Optimization Problems

Table 2

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	593583				891922.510621
		DE-5	249403			987371	426831.918032
		C-DE	310525			996518	512003.868545

F₀₃		DE-1	75046.1				1141062.835342
		DE-5	286063	781260	345872	305354	94580.836448
		C-DE		781166	56405	18616.2	131613.067626

F₀₄		DE-1	2663.83	20828.9	11876	12016.1	3735.150538
		DE-5	2661.7	13432.2	7847.18	7823.6	2023.165850
		C-DE	2574.66	11249.8	6114.03	6033.66	1982.673559

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

F₀₆		DE-1					0.213022
		DE-5					1.999259
		C-DE					2.263107

F₀₇		DE-1					3.576671
		DE-5					1.694367
		C-DE					1.262155

F₀₈		DE-1					0.068761
		DE-5					0.064325
		C-DE					0.075517

F₀₉		DE-1					0.616831
		DE-5					0.787579
		C-DE					0.722405

F₁₀		DE-1					0.199213
		DE-5					0.139360
		C-DE					0.113407

F₁₁		DE-1					0.000000
		DE-5					0.000000
		C-DE					0.000000

F₁₂		DE-1					3.606150
		DE-5					2.946380
		C-DE					3.047453

F₁₃		DE-1					3.819038
		DE-5					3.220455
		C-DE					2.858693

F₁₄		DE-1					0.008745
		DE-5					1.514591
		C-DE					0.905209

F₁₅	100	DE-1	966.064	1624.91	1345.42	1363.52	141.570897
		DE-5	850.871	1581.88	1269.04	1266.33	165.250631
		C-DE	778.43	1452.19	1184.57	1212.61	150.366735

F₁₆	200	DE-1	200.555	201.516	201.119	201.137	0.196826
		DE-5	200.51	201.527	201.122	201.127	0.223394
		C-DE	200.649	201.478	201.098	201.109	0.203207

F₁₇	300	DE-1	320.122	320.122	320.122	320.122	0.000001
		DE-5	311.542	318.288	318.01	318.122	0.924608
		C-DE	310.122	310.286	310.128	310.122	0.023545

F₁₈	400	DE-1	433.641	453.204	444.794	445.414	3.694887
		DE-5	429.56	449.267	437.735	437.257	3.894859
		C-DE	421.706	438.851	429.938	429.753	3.321748

F₁₉	500	DE-1	510.299	510.76	510.595	510.599	0.089374
		DE-5	504.153	504.684	504.538	504.548	0.082422
		C-DE	500.355	500.752	500.527	500.532	0.079466

F₂₀	600	DE-1	602.688	603.565	603.182	603.201	0.210304
		DE-5	602.184	603.466	602.781	602.815	0.299490
		C-DE	602.163	603.359	602.785	602.773	0.276907