An advanced hybrid meta-heuristic algorithm for solving small- and large-scale engineering design optimization problems

Journal of Electrical Systems and Information Technology

Table 4 Statistical comparisons of proposed Vs other algorithms for UBFs

Vs		EO	HHO	JADE	SHADE	HEPSO	RPSOLF	PSOSCALF	FAPSO	aDE	haDEPSO
aPSO	Better	21	11	20	13	20	19	19	15	0	0
	Equal	2	4	2	9	2	2	3	4	7	8
	Worst	0	8	1	1	1	2	1	4	16	15
	R⁺	387	293	335	305	312	323	382	300	350	400
	R⁻	78	172	130	160	153	142	83	165	115	65
	p value	5.3e−10	5.1e−09	6.2e−10	4.6e−08	5.7e−10	5.1e−09	5.6e−10	5.8e−10	6.2e−09	5.3e−10
	t test	a	a	a	a+	a	a+	a+	a+	a	a+
	Decision	≈	≈	+	+	≈	+	+	+	+	+

Vs		EO	HHO	JADE	SHADE	HEPSO	RPSOLF	PSOSCALF	FAPSO	aDE	aPSO
haDEPSO	Better	0	14	20	13	20	20	15	14	8	15
	Equal	6	7	3	10	3	3	8	9	15	8
	Worst	17	2	0	0	0	0	0	0	0	0
	R⁺	294	321	329	367	330	313	377	293	323	304
	R⁻	171	144	136	98	135	152	88	172	142	161
	p value	5.1e−10	6.2e−10	4.6e−08	5.7e−10	5.1e−07	5.1e−10	5.3e−08	6.2e−09	4.6e−10	5.7e−07
	t test	a	a	a	a+	a	a+	a+	a	a+	a
	Decision	+	+	≈	+	+	≈	+	≈	+	+