Complexity

Research Article

A Customized Differential Evolutionary Algorithm for Bounded Constrained Optimization Problems

Table 6

The experimental results obtained by DE-1 and DE-5 versus proposed C-DE by solving CEC’13 benchmark functions F₁ to F₁₉ 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					40952346.718760
		DE-5					18482876.197602
		C-DE					20121866.384027

F₀₃		DE-1					1263221747.238202
		DE-5	37540.4				132237941.475719
		C-DE					70023673.941721

F₀₄		DE-1	69182.1	119153	89629.8	90090.8	10106.552893
		DE-5	20820.9	41255.3	30832.5	30841.7	4612.877411
		C-DE	20496.2	38856.9	29036.1	28704.6	3791.979814

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

F₀₆		DE-1					0.278565
		DE-5					7.423864
		C-DE					0.895707

F₀₇		DE-1					8.870652
		DE-5					9.264348
		C-DE					7.322152

F₀₈		DE-1					0.037308
		DE-5					0.041021
		C-DE					0.042407

F₀₉		DE-1					1.930815
		DE-5					2.256670
		C-DE					2.223050

F₁₀		DE-1					16.289936
		DE-5					0.227074
		C-DE					0.544408

F₁₁		DE-1					4.588255
		DE-5					8.544754
		C-DE					20.613249

F₁₂		DE-1	75.2158	125.882	103.524	104.096	13.276617
		DE-5	0.268876	81.9058	49.9213	53.4445	18.892895
		C-DE		77.6588	34.6832	36.7967	17.050881

F₁₃		DE-1	158.018	226.329	205.73	207.248	12.793081
		DE-5	123.648	181.726	158.425	159.411	13.288146
		C-DE	92.3484	167.1	142.689	147.413	17.611983

F₁₄		DE-1	2757.28	2979.67	2825.25	2821.93	45.565094
		DE-5	2303.21	4082.56	3069.74	3039.67	409.883370
		C-DE	1375.05	3542.59	2571.58	2608.89	437.462372

F₁₅	100	DE-1	13765.6	15319	14673.9	14734.7	384.976680
		DE-5	13237	15094.1	14454.5	14549.9	399.510805
		C-DE	12992.9	14685.4	14102.7	14161.2	308.720813

F₁₆	200	DE-1	209.112	210.714	210.335	210.403	0.284461
		DE-5	212.755	213.932	213.389	213.37	0.285913
		C-DE	202.497	203.836	203.329	203.335	0.299347

F₁₇	300	DE-1	441.674	455.768	449.039	448.778	2.675904
		DE-5	498.309	530.053	516.227	516.817	6.054115
		C-DE	418.995	443.525	431.271	431.221	6.529947

F₁₈	400	DE-1	822.319	876.283	857.057	857.384	11.321625
		DE-5	788.248	868.463	840.602	843.171	13.809299
		C-DE	755.358	809.619	790.15	791.587	12.806493

F₁₉	500	DE-1	524.859	529.441	527.534	527.603	0.879431
		DE-5	522.265	525.845	524.077	524.195	0.823669
		C-DE	510.223	515.645	513.479	513.743	1.248977