[Retracted] An Improved SPEA2 Algorithm with Adaptive Selection of Evolutionary Operators Scheme for Multiobjective Optimization Problems

Table 6

Results using AGS_PAES for MK problems.

Instance	Dimension	AOSPEA		SPEA2		NSGA-II		PESA-II		MODEA
		MRE	CPU times	MRE	CPU times	MRE	CPU times	MRE	CPU times	MRE	CPU times
ZDT1	30	4.003	735.1	4.591	839.6	4.612	856.9	5.317	857.5	5.401	858.9
ZDT2	30	4.892	725.9	4.445	841.5	4.961	837.7	5.116	848.3	5.921	849.7
ZDT3	30	5.129	100.3	5.312	150.3	5.378	125.4	5.865	126.6	5.977	127.3
ZDT4	10	5.549	273.3	6.068	378.1	6.543	405.1	6.651	415.7	7.076	417.1
ZDT6	10	6.002	479.5	6.132	592.1	6.298	601.3	6.769	621.9	8.012	633.3
DTLZ1	7	4.198	279.1	4.226	399.8	4.331	400.9	4.821	401.5	5.086	412.9
DTLZ2	12	5.012	434.8	5.203	531.1	5.302	556.6	5.825	557.2	6.325	568.6
DTLZ3	12	3.471	499.2	3.821	645.1	4.828	621.0	5.336	621.6	6.253	633.1
DTLZ4	12	4.021	619.6	4.325	778.9	5.952	781.4	5.409	812.9	6.612	824.3
LZ09_F1	10	5.887	647.3	6.208	751.2	6.802	789.1	7.337	829.7	8.389	831.1
LZ09_F2	30	9.021	1415.1	9.101	1781.2	9.199	1576.9	9.657	1597.5	10.897	1618.9
LZ09_F3	30	7.312	1268	7.625	1459.9	7.883	1469.8	8.331	1480.4	9.441	1501.8
LZ09_F4	30	8.872	1199.8	9.105	1410.1	9.919	1461.6	9.664	1472.2	9.982	1483.6
LZ09_F5	30	5.885	1170.3	6.115	1312.9	6.231	1332.1	6.723	1362.7	6.905	1399.1
LZ09_F6	10	9.002	1149.7	9.205	1341.1	9.902	1361.5	10.008	1392.1	12.911	1419.5
LZ09_F7	10	8.884	1074.4	9.012	1231.1	9.218	1236.2	9.733	1266.8	10.023	1289.2
LZ09_F9	30	5.768	1141.9	6.003	1366.5	6.177	1399.7	6.691	1430.3	7.116	1459.7
MRE	—	7.395	—	7.552	—	7.629	—	7.895	—	8.915	—