A hybrid cuckoo search algorithm with Nelder Mead method for solving global optimization problems

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Table 6 Experimental results (min, max, mean, standard deviation and rate of success) of function evaluation for \(FI_1 - FI_{7}\) test problems

Function	Algorithm	Min	Max	Mean	SD	Suc
\(FI _1\)	RWMPSOg	17,160	74,699	27,176.3	8657	50
	RWMPSOl	24,870	35,265	30,923.9	2405	50
	PSOg	14,000	261,100	29,435.3	42,039	34
	PSOl	27,400	35,800	31,252	1818	50
	HCSNM	626	650	638.3	4.34	50
\(FI _2\)	RWMPSOg	252	912	578.5	136.5	50
	RWMPSOl	369	1931	773.9	285.5	50
	PSOg	400	1000	606.4	119	50
	PSOl	450	1470	830.2	206	50
	HCSNM	208	238	232.64	4.28	50
\(FI _3\)	RWMPSOg	361	41,593	6490.6	6913	50
	RWMPSOl	5003	15,833	9292.6	2444	50
	PSOg	2150	187,000	12,681	35,067	50
	PSOl	4650	22,650	11,320	3803	50
	HCSNM	1614	1701	1668.1	43.2	50
\(FI _4\)	RWMPSOg	76	468	215	97.9	50
	RWMPSOl	73	620	218.7	115.3	50
	PSOg	100	620	369.6	113.2	50
	PSOl	120	920	390	134.6	50
	HCSNM	163	191	174.04	6.21	50
\(FI _5\)	RWMPSOg	687	2439	1521.8	360.7	50
	RWMPSOl	675	3863	2102.9	689.5	50
	PSOg	680	3440	1499	513.1	43
	PSOl	800	3880	2472.4	637.5	50
	HCSNM	769	1045	884.48	56.24	50
\(FI _6\)	RWMPSOg	40	238	110.9	48.6	50
	RWMPSOl	40	235	112	48.7	50
	PSOg	80	350	204.8	62	50
	PSOl	70	520	256	107.5	50
	HCSNM	139	175	155.89	5.16	50
\(FI _7\)	RWMPSOg	72	620	242.7	132.2	50
	RWMPSOl	70	573	248.9	134.4	50
	PSOg	100	660	421.2	130.4	50
	PSOl	100	820	466	165	50
	HCSNM	119	243	210.3	6.39	50