SOMO-m Optimization Algorithm with Multiple Winners

Table 2

Comparison of SOMO, SOMO-2, and SOMO-3 for finding one minimum.

Test function	Algorithm	Mean	Standard deviation	Time; mean (s)	Time; SD (s)
	SOMO	1.6778𝑒−016	2.4504𝑒−016	1.3813	1.4008
Step	SOMO-2	1.1321𝑒−019	8.3427𝑒−020	1.0973	1.1419
	SOMO-3	7.8070 e  −  020	5.7362𝑒−020	0.8743	0.8686
	SOMO	5.1773𝑒−015	2.8126𝑒−016	1.7502	1.1681
Griewant	SOMO-2	2.8126𝑒−016	3.7420𝑒−016	1.1681	1.1324
	SOMO-3	2.2204 e  −  017	6.14813𝑒−017	0.9849
	SOMO	0.9670	1.4901𝑒−009	1.0116	1.0049
Giunta	SOMO-2	0.9670	9.2269𝑒−011	0.7087	0.7053
	SOMO-3	𝟎.𝟗𝟔𝟕𝟎	5.8655𝑒−012	0.6217	0.6451
	SOMO	−1.896401167771170𝑒+004	1.018269572071048𝑒−007	0.8009	0.7584
𝑈1 function 𝑓	SOMO-2	−1.896401167771323𝑒+004	2.722830731013220𝑒−009	0.6168	0.6438
	SOMO-3	−1.896401167771335 e  +  004	2.146099170750331𝑒−011	0.4657	0.4778
	SOMO	−7.36465824205229	9.781475238601051𝑒−014	2.1060	2.1278
𝑈2 function 𝑓	SOMO-2	−7.36465824208548	2.101813757029311𝑒−015	1.5919	1.5198
	SOMO-3	−𝟕.𝟑𝟔𝟒𝟔𝟓𝟖𝟐𝟒𝟐𝟎𝟖𝟓𝟒𝟖	2.394240849331165𝑒−015	0.9831	0.9525