Multiobjective Parallel Chaos Optimization Algorithm with Crossover and Merging Operation

Table 4

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

	PCOA		NSGA-II		SPEA2		MOPSO
Function	Mean	SD	Mean	SD	Mean	SD	Mean	SD
Schaffer	0.996461	2.1130e − 4	0.996845	1.0374e − 4	0.99677	1.1255e − 4	0.995691	2.0995e − 3
Kursawe	0.981255	4.1259e − 3	0.786379	3.6251e − 4	0.824163	2.1975e − 4	0.988631	1.0953e − 3
Fonseca	0.984921	2.5437e − 3	0.979604	1.0286e − 3	0.985355	4.7183e − 4	0.955205	2.0730e − 2
ConstrEx	0.994527	5.9124e − 4	0.991616	5.8481e − 4	0.994057	6.5862e − 4	0.98315	1.2854e − 2
Srinivas	0.993786	1.5610e − 3	0.99316	2.2948e − 4	0.99394	1.4699e − 3	0.98902	1.6944e − 3
Tanaka	0.995682	1.0024e − 3	0.99759	9.2767e − 4	0.99559	9.3821e − 4	0.98745	3.7839e − 3
ZDT1	0.853766	6.1083e − 2	0.994704	1.8910e − 4	0.991166	6.3318e − 4	0.820794	7.0473e − 2
ZDT2	0.783503	1.1973e − 1	0.995543	2.1983e − 4	0.986828	2.7071e − 3	0.602551	1.6169e − 1
ZDT3	0.771385	1.3570e − 1	0.992548	9.8126e − 3	0.983397	7.1067e − 3	0.627398	4.4926e − 2
ZDT4	0.916307	8.254e − 3	0.989682	1.7974e − 3	0.645951	1.3542e − 1	0.633132	2.1118e − 1
ZDT6	0.901864	8.863e − 3	0.872076	1.0198e − 2	0.938897	4.3776e − 3	0.994543	2.6693e − 2