Multiobjective Parallel Chaos Optimization Algorithm with Crossover and Merging Operation

Table 3

Comparison results of PCOA and other MOAs based on the spread indicator .

	PCOA		NSGA-II		SPEA2		MOPSO
Function	Mean	SD	Mean	SD	Mean	SD	Mean	SD
Schaffer	0.19845	2.1953e − 2	0.29228	2.1339e − 2	0.27503	2.5711e − 2	0.725718	1.3476e − 1
Kursawe	0.21514	2.8631e − 2	0.43404	1.9817e − 2	0.28611	1.1474e − 2	0.375945	1.6664e − 2
Fonseca	0.19583	1.7106e − 2	0.37672	2.5222e − 2	0.17661	1.1100e − 1	0.649701	3.1212e − 1
ConstrEx	0.40773	6.1873e − 2	0.54863	2.7171e − 2	0.42803	1.2258e − 2	0.94312	3.6719e − 1
Srinivas	0.16950	3.7642e − 2	0.3869	2.5115e − 2	0.10134	1.9082e − 2	0.6655	7.2196e − 2
Tanaka	0.69843	6.9733e − 2	0.82286	2.8678e − 2	0.78373	2.9969e − 2	0.79363	5.1029e − 2
ZDT1	0.37906	4.1651e − 2	0.50429	3.9251e − 2	0.29644	1.0850e − 1	0.293805	1.6956e − 2
ZDT2	0.45027	3.7390e − 2	0.48775	2.7686e − 2	0.50517	1.8356e − 1	0.288026	1.7580e − 2
ZDT3	0.42798	6.3524e − 2	0.59025	3.0439e − 2	0.50310	9.7283e − 2	0.617796	3.5019e − 2
ZDT4	0.36412	5.0661e − 2	0.37524	2.4448e − 2	0.72766	5.1517e − 1	0.323549	3.2953e − 2
ZDT6	0.20572	2.9758e − 2	0.48611	3.6054e − 2	0.24861	4.9667e − 2	1.123258	1.7311e − 1